CN108062890A - A kind of novel centripetal force quantitative measurment experiment instrument - Google Patents

A kind of novel centripetal force quantitative measurment experiment instrument Download PDF

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CN108062890A
CN108062890A CN201810038973.2A CN201810038973A CN108062890A CN 108062890 A CN108062890 A CN 108062890A CN 201810038973 A CN201810038973 A CN 201810038973A CN 108062890 A CN108062890 A CN 108062890A
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experiment instrument
centripetal force
sliding block
bracing wire
horizontal
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张锐波
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Zhejiang University City College ZUCC
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Zhejiang University City College ZUCC
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    • GPHYSICS
    • G09EDUCATION; CRYPTOGRAPHY; DISPLAY; ADVERTISING; SEALS
    • G09BEDUCATIONAL OR DEMONSTRATION APPLIANCES; APPLIANCES FOR TEACHING, OR COMMUNICATING WITH, THE BLIND, DEAF OR MUTE; MODELS; PLANETARIA; GLOBES; MAPS; DIAGRAMS
    • G09B23/00Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes
    • G09B23/06Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes for physics
    • G09B23/08Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes for physics for statics or dynamics
    • G09B23/10Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes for physics for statics or dynamics of solid bodies
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01LMEASURING FORCE, STRESS, TORQUE, WORK, MECHANICAL POWER, MECHANICAL EFFICIENCY, OR FLUID PRESSURE
    • G01L1/00Measuring force or stress, in general
    • G01L1/04Measuring force or stress, in general by measuring elastic deformation of gauges, e.g. of springs

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Abstract

The present invention relates to a kind of novel centripetal force quantitative measurment experiment instrument, including experiment porch and peripheral fixed frame, leveling support leg, experiment instrument side supporting walls, experiment instrument platform, experiment instrument support upper beam, circular small machine, electric cabinet, rotating circular disc, measurement centripetal force size spring system, horizontal scale bar and sliding block;Experiment instrument is provided with experiment porch and peripheral fixed frame, experiment instrument platform has experiment instrument repair part storage drawer, experiment instrument mesa base is provided with leveling support leg, and experiment instrument platform both sides are provided with left and right experiment instrument side supporting walls, and experiment instrument side supporting walls top is provided with experiment instrument support upper beam.The beneficial effects of the invention are as follows:Selected rotating circular disc, sliding block and horizontal scale bar inside material and its manufacture craft, frictional force is very small between on the inside of sliding block and rotating circular disc surface, horizontal scale bar, that is rotating circular disc in rotation process, make opposite slide and be only subject to a centrifugal force effect on it by sliding block.

Description

A kind of novel centripetal force quantitative measurment experiment instrument
Technical field
Patent of the present invention is related to experiment instrument more particularly to a kind of novel centripetal force quantitative measurment experiment instrument.
Background technology
Centripetal force is high school physics and a key concept of university physics mechanics part, centripetal force size and object The distance of quality, the angular speed (or cycle) of article for rotation and object to shaft has relation.It is well-known:Make steady circular The centripetal force size of moving object, directly proportional to mass of object, directly proportional to object of which movement angular speed square (cycle square is into anti- Than) and to object to shaft apart from directly proportional;However, so far, on the market with physics laboratory of universities an middle schools only to The qualitative lecture experiment instrument of mental and physical efforts, there are no the laboratory apparatus for seeing accurate measurement centripetal force size.Based on this, I am previous " the centripetal force demonstration of stage patent application " accurate measurement centripetal force size experiment instrument " and Application No. 201720462742.5 With quantitative verification experiment instrument ", being had been found that after reporting can dexterously combine the region of interest of both experiment instruments, will It is an extraordinary laboratory apparatus that can accurately measure centripetal force size.
The content of the invention
The purpose of the present invention is overcoming deficiency of the prior art, a kind of novel centripetal force quantitative measurment experiment instrument is provided.
This novel centripetal force quantitative measurment experiment instrument, including experiment porch and peripheral fixed frame, leveling support leg, experiment Instrument side supporting walls, experiment instrument platform, experiment instrument support upper beam, circular small machine, electric cabinet, rotating circular disc, measurement centripetal force are big Little spring system, horizontal scale bar and sliding block;Experiment instrument is provided with experiment porch and peripheral fixed frame, and experiment instrument platform has Experiment instrument repair part stores drawer, and experiment instrument mesa base is provided with leveling support leg, and experiment instrument platform both sides are provided with left and right Experiment instrument side supporting walls, experiment instrument side supporting walls top are provided with experiment instrument support upper beam;
Measurement centripetal force size spring system is fixedly mounted in the vertical direction at experiment instrument support upper beam center, measures centripetal force The transparent glass cylinder with scale, the horizontal scale bar two of the transparent glass cylinder lower end with scale are cased with outside size spring system End is fixedly mounted on the supporting walls of experiment instrument side, and position to the left is equipped with centripetal force horizontal guy with erecting in the middle part of horizontal scale bar Vertical pulling line drive, the horizontal vertical direction bracing wire and horizontal direction bracing wire with vertical bracing wire of sliding block are drawn respectively with centripetal force level Line with tangent on the downside of tangent and wheel rim on the right side of the wheel rim of vertical bracing wire drive, draw by the horizontal horizontal direction with vertical bracing wire of sliding block Line is connected with sliding block, and the horizontal vertical direction bracing wire with vertical bracing wire of sliding block is connected with measurement centripetal force size spring system;
Horizontal scale bar is marked with main scale scale, and sliding block is equipped with micro- ruler;Measurement centripetal force size spring system lower end leads to It crosses centripetal force bracing wire directional rotating device to connect micro- ruler transparent glass cylinder with spring, micro- ruler transparent glass cylinder, which is placed in, to be carried Inside the transparent glass cylinder of scale, micro- ruler transparent glass cylinder is equipped with micro- micro- ruler of ruler transparent glass cylinder, the transparent glass with scale Glass cylinder is equipped with transparent glass cylinder main scale;
Fixed disc on the machine shaft of the circular small machine of horizontal scale bar lower end is installed and stops circle, disk stops on circle End cap connects rotating circular disc, rotating circular disc upper end installation disk locking loop coil, and disk stops that circle and disk locking loop coil will be rotated and justified Disk is fixed therebetween, and rotating circular disc upper surface is not contacted with horizontal scale bar lower surface;It is provided with and is more than among horizontal scale bar The sliding slot of slider width, sliding block are placed in the rotating circular disc upper surface in the sliding slot of horizontal scale bar.
As preferred:Circular small machine is fixedly mounted between the motor fixing frame of experiment porch, and machine shaft packs into horizontal stroke Among scale bar, machine shaft is not contacted with centripetal force horizontal guy and the drive of vertical bracing wire.
As preferred:The centripetal force bracing wire directional rotating device of micro- ruler transparent glass cylinder upper end center installation is internally provided with Centripetal force bracing wire orientation roll rotational axis and centripetal force bracing wire orientation rotating ball, centripetal force bracing wire orientation rotating ball underface bolt have Sliding block is horizontal with vertical bracing wire.
As preferred:Circular small machine connects electric cabinet by motor supply lines, and electric cabinet is placed on experiment instrument platform, electricity Control case is provided with electric cabinet indicator light, electric cabinet switch, timing start button, the number of turns and knob, time display screen, the number of turns is set to show Display screen and rotating speed set knob.
As preferred:Scale on micro- ruler is symmetrical with micro- 0 graduation mark of ruler, micro- ruler and main scale scale homonymy.
The beneficial effects of the invention are as follows:
(1) overall construction design thinking of the present invention is novel, method is feasible.
(2) rotating circular disc is fixedly mounted on machine shaft, motor rotation is directly disc-rotated, is placed on rotation Sliding block on disk will be subject to a centrifugal force effect, so as to which sliding block will be made to leave the movement in the center of circle along radial direction; According to experiment instrument design requirement, selected rotating circular disc, sliding block and horizontal scale bar inside material and its manufacture craft, sliding block with Frictional force is very small (can be ignored) between on the inside of rotating circular disc surface, horizontal scale bar, that is to say, that rotating circular disc is turning During dynamic, sliding block makees opposite slide and is only subject to a centrifugal force effect on it.
(3) in order to measure sliding block centripetal force suffered during disk rotational, employ in support upper beam installation one A spring system in order to show the elongation of spring, and is provided with a centripetal force bracing wire directional rotating device in lower spring end, Tumbler fixes a micro- ruler transparent glass cylinder, with micro- ruler on micro- ruler transparent glass cylinder, micro- ruler transparent glass cylinder can with Relatively moved in the transparent glass cylinder of scale without friction, spring elongation can by micro- ruler on micro- ruler transparent glass cylinder with Scale cooperation on transparent glass sleeve with scale is accurately read out.
(4) according to spring elongation how much, using Hooke's law can calculate spring elastic force (be sliding block centrifugation Power), since centrifugal force and the centripetal force of sliding block are active force and reaction force, so the centrifugal force for measuring sliding block is sliding block Centripetal force.
(5) in order to calculate the theoretical value of sliding block suffered centripetal force during with disk rotational, it is necessary to measure sliding block Barycenter just designs that be carved on sliding block on 0 graduation mark be symmetrical micro- ruler and horizontal scale bar to the distance of shaft therefore Upper main scale coordinates pin-point reading, can read its barycenter after sliding block is stablized to the accurate distance (i.e. the sliding block radius of gyration) of shaft, So as to according to centripetal force theoretical calculation formula, calculate the theoretical value of centripetal force suffered by sliding block.
(6) since spring is fixed on vertical direction, in order to realize by suffered by the lengthening variable sliding block of spring from Mental and physical efforts, it is necessary to precisely measure out elongation to come, therefore in the sliding block vertical direction bracing wire of spring prolonging direction and sliding block Leave direction turnover (power of one drive of the sliding block horizontal direction bracing wire medium design of center of circle radial direction as active force Direction change 90 °), which is fixed on horizontal scale bar center position to the left, and meet vertical direction bracing wire with Tangent in vertical direction on the right side of transmission wheel rim, the horizontal guy direction of sliding block and drive lower edge are tangent in the horizontal direction, such as This, the variation that sliding block leaves center of circle relative position is just consistent with the elongation of spring.
(7) horizontal scale bar and rotating circular disc face interval can on wall supported on both sides micro-positioning regulators, so as to ensure that cunning The level of block horizontal guy and drive is tangent, improves experimental precision.
Description of the drawings
Fig. 1 is experiment instrument overall structure front view;
Fig. 2 is other modular construction front views in addition to motor, rotating circular disc and sliding block bracing wire etc.;
Fig. 3 is the other parts structure front view in addition to horizontal scale bar, spring system and transparent glass cylinder;
Fig. 4 is experiment instrument overall structure top view;
Fig. 5 is spring system, micro- ruler transparent glass cylinder and the transparent glass barrel structure front view with scale;
Fig. 6 is spring, micro- ruler transparent glass cylinder and centripetal force bracing wire directional rotating device connection structure front view;
Fig. 7 is spring elongation just final states front view (figure a is original state, and figure b is last current state);
The first last current state top view of sliding block before and after Fig. 8 rotates for motor;
Fig. 9 is sliding block top view;
Figure 10 is sliding block precision calibration method figure;
Figure 11 is electric cabinet schematic diagram.
Reference sign:1st, experiment porch and peripheral fixed frame, 1-0, leveling support leg, the collateral support of 1-2, experiment instrument Wall, 1-3, experiment instrument platform, 1-30, leveling spirit bubble, 1-4, experiment instrument support upper beam, 2, experiment instrument repair part storage drawer, 3rd, circular small machine, 3-1, motor fixing frame, 3-2, disk stop circle, 3-3, disk locking loop coil, 3-4, machine shaft, 4, electricity Control case, 4-0, electric cabinet indicator light, 4-1, electric cabinet switch, 4-2, timing start button, 4-3, the number of turns set knob, 4-4, when Between display screen, 4-5, number of turns display screen, 4-6, rotating speed set knob, 5, motor supply lines, 6, rotating circular disc, 7, measurement centripetal force Size spring system, 7-0, spring, 7-1, spring system suspension fixing end, 7-2, centripetal force bracing wire directional rotating device, 7-21, Centripetal force bracing wire orientation rotating ball, 7-22 centripetal force bracing wires orientation roll rotational axis, 7-3, micro- ruler transparent glass cylinder, 7-4, micro- ruler The micro- ruler of transparent glass cylinder, 8, horizontal scale bar, 8-0, main scale scale, 8-2, centripetal force horizontal guy and vertical bracing wire drive, 9th, sliding block, 9-3, motor rotate moment sliding block initial position, and 9-0, sliding block are horizontal with vertical bracing wire, 9-00, sliding slot, 9-30, micro- Ruler, 9-300,0 graduation mark of micro- ruler, 10, the transparent glass cylinder with scale, 10-1, transparent glass cylinder main scale.
Specific embodiment
The present invention is described further with reference to embodiment.The explanation of following embodiments is only intended to help to understand this Invention.It should be pointed out that for those skilled in the art, without departing from the principle of the present invention, also Can to the present invention some improvement and modification can also be carried out, these improvement and modification also fall into the protection domain of the claims in the present invention It is interior.
The novel centripetal force quantitative measurment experiment instrument includes:Leveling support leg 1-0, experiment instrument side supporting walls 1-2, experiment Instrument platform 1-3, experiment instrument support upper beam 1-4, experiment instrument repair part storage drawer 2, circular small machine 3, motor fixing frame 3-1, Electric cabinet 4, motor supply lines 5, rotating circular disc 6, measurement centripetal force size spring system 7, horizontal scale bar 8, centripetal force are horizontal Bracing wire and vertical bracing wire drive 8-2, sliding block 9, sliding block are horizontal with vertical bracing wire 9-0, the transparent glass cylinder 10 with scale.Such as Shown in Fig. 1.
The novel centripetal force quantitative measurment experiment instrument is provided with experiment porch and peripheral fixed frame 1, experiment instrument platform 1-3 Experiment instrument repair part storage drawer 2 is had, bottom is provided with leveling support leg 1-0, and leveling support leg 1-0 support experiment instruments are put down Platform 1-3 is provided with left and right experiment instrument side supporting walls 1-2, on experiment instrument side supporting walls 1-2 tops in experiment instrument platform 1-3 both sides Experiment instrument support upper beam 1-4 is provided with, it is big that measurement centripetal force is fixedly mounted in the vertical direction at experiment instrument support upper beam 1-4 centers Little spring system 7, measurement centripetal force size spring system 7 is cased with the transparent glass cylinder 10 with scale outside, with the saturating of scale 8 both ends of horizontal scale bar of bright 10 lower end of glass infuser are fixedly mounted on the supporting walls 1-2 of experiment instrument side, on horizontal scale bar 8 Main scale scale 8-0 is carved with, be equipped with centripetal force horizontal guy in horizontal 8 middle part position to the left of scale bar is driven with vertical bracing wire 8-2 is taken turns, the horizontal vertical direction bracing wire and horizontal direction bracing wire with vertical bracing wire 9-0 of sliding block with centripetal force level respectively by drawing It is tangent on the downside of tangent and wheel rim on the right side of the wheel rim of line and vertical bracing wire drive 8-2, so as to by sliding block is horizontal and vertical bracing wire 9-0 Change 90 °;Fixed disc on the machine shaft 3-4 of the circular small machine 3 of horizontal 8 lower end of scale bar is installed and stops circle 3-2, disk Stop circle 3-2 upper ends socket rotating circular disc 6,6 upper end of rotating circular disc installation disk locking loop coil 3-3, disk stops circle 3-2 and circle Rotating circular disc 6 is fastened securely to therebetween by disk locking loop coil 3-3;6 upper surface of rotating circular disc and 8 lower surface phase of horizontal scale bar Away from close but do not contact and (have a very little gap), one is provided among horizontal scale bar 8 less times greater than 9 width of rectangle sliding block Sliding slot 9-00, sliding block 9 can be placed on 6 upper surface of rotating circular disc in the sliding slot 9-00 of horizontal scale bar 8, and sliding block 9 is in sliding slot 9- Along the direction of sliding slot 9-00 (radius) and 6 upper surface of sliding slot 9-00 both sides and rotating circular disc in rotating circular disc 6 in 00 It is slided without frictionally opposite;Circular small machine 3 is fixedly mounted between the motor fixing frame 3-1 of experiment porch 1-3, and adjusts electricity Machine shaft 3-4 can just be packed among horizontal scale bar 8, and the appropriate upper-lower position for adjusting circular small machine 3 makes machine shaft 3-4 has certain intervals with centripetal force horizontal guy and the drive 8-2 of vertical bracing wire.As shown in Fig. 1,2,3,4,8.
It is by centripetal force bracing wire directional rotating device 7-2 that micro- ruler is transparent in 7 lower end of measurement centripetal force size spring system Glass infuser 7-3 is connected with spring 7-0, be placed in micro- ruler transparent glass cylinder 7-3 with the inside of scale transparent glass cylinder 10 and It can relatively be moved up and down without friction, the centripetal force bracing wire directional rotating device 7-2 of micro- ruler transparent glass cylinder 7-3 upper end centers installation It is internally provided with centripetal force bracing wire orientation roll rotational axis 7-22 and centripetal force bracing wire orientation rotating ball 7-21, centripetal force bracing wire side Position rotating ball 7-21 underfaces bolt has sliding block horizontal and vertical bracing wire 9-0.As shown in Figure 5,6.
Circular small machine 3 connects electric cabinet 4 by motor supply lines 5, and electric cabinet 4 is placed on experiment instrument platform 1-3, automatically controlled Case 4 includes electric cabinet indicator light 4-0, electric cabinet switch 4-1, timing start button 4-2, the number of turns and sets knob 4-3, time showing Shield 4-4, number of turns display screen 4-5, rotating speed and knob 4-6 is set.
Horizontal scale bar 8 is marked with main scale scale 8-0, and sliding block 9 is equipped with micro- ruler 9-30, and micro- ruler 9-30 is marked with scale, It is symmetrical using micro- 0 graduation mark 9-300 of ruler;Micro- ruler 9-30 and main scale scale 8-0 homonymies, 10 lattice and main scale scale on micro- ruler 9-30 9mm length on 8-0 is identical, i.e., has been assigned to the 1mm on main scale scale 8-0 on 10 lattice of micro- ruler 9-30, then micro- ruler 9-30 Every 1 lattice be 0.1mm, that is to say, that the precision of micro- ruler 9-30 be 0.1mm.As shown in Fig. 9,10.
First, experimental principle
The quality of circular motion object is provided as m, the radius of gyration (i.e. the distance of object to shaft) of object is r, is made even Fast circular motion angular speed is ω (cycle T), then centripetal force can be expressed as
F=m ω2R=m (4 π2)/T2r (1)
Wherein, T is the disk rotational cycle, and n is the number of total coils that motor turns over, and t encloses required total time to turn over n, then NT=t, cycle T=t/n, angular speed are ω=2 π/T;
It is directly proportional to mass of object m from formula (1) as can be seen that object makees the centripetal force of uniform circular motion, with circumference The angular velocity omega square of movement is directly proportional, i.e. the cycle square (T with uniform circular motion2) be inversely proportional, make with object at the uniform velocity round The radius r of Zhou Yundong is directly proportional.
2nd, experimental implementation
1st, regulating step
(1) adjustment base is horizontal.Three leveling support leg 1-0 are adjusted, make experiment instrument platform 1-3 surface leveling spirit bubbles 1- 30 among circle;
(2) the motor supply lines 5 between electric cabinet 4 and circular small machine 3 is connected, and is connected with electric cabinet 4;
(3) in order to improve experimental precision, horizontal 8 lower surface of scale bar is adjusted in advance with 6 spacing of rotating circular disc suitably, by cunning Block 9 is placed in sliding slot 9-00, and the horizontal horizontal guy with vertical bracing wire 9-0 of sliding block is stretched, horizontal guy just with centripetal force Horizontal guy and vertical bracing wire drive 8-2 lower edge levels are tangent, as shown in Figure 1;
(4) according to experiment given condition, related experiment can arbitrarily be carried out.
2nd, experimental procedure
(1) on the premise of regulating, proceed as follows;
(2) according to requirement of experiment, the sliding block 9 of different quality size and the horizontal length with vertical bracing wire 9-0 of sliding block are selected, After connecting related link, stretch sliding block is horizontal in the rotating circular disc 6 being placed in sliding slot 9-00 with vertical bracing wire 9-0;
(3) it is m by quality1Sliding block 9 be placed in sliding slot 9-00, micro- ruler 9-30 edges on sliding block 9 and main scale 8-0 edges It is adjacent, it reads saturating on the transparent glass cylinder 10 with scale corresponding to 0 graduation mark on the micro- ruler 7-4 of micro- ruler transparent glass cylinder The position initial reading of bright glass infuser main scale 10-1 is x1, as shown in Figure 5;
(4) when testing, electric cabinet 4 is arranged to n circles, rotates t, motor rotational angular velocity ω the time required to n circles0(rad/ s);Electric cabinet switch 4-1 is opened, electric cabinet indicator light 4-0 is bright, and circular small machine 3 drives rotating circular disc 6 to start to rotate, and rotates Rotating speed sets knob 4-6 to be arranged to compared with low-rotate speed n by rotating speed0(rev/min), turnning circle set knob 4-3 to set by the number of turns It puts circular small machine 3 and rotates 50 circles, number of turns display screen 4-5 shows 50, presses timing start button 4-2, treats circular 3 turns of small machine Dynamic 50 circle, i.e. rotating circular disc 6 rotate 50 circles, and circular small machine 3 drives rotating circular disc 6 to be automatically stopped rotation, time display screen 4-4 It can show total time t used in 50 circle of rotation, then the cycle is T=t/50, and angular speed is ω=2 π/T;
(5) circular small machine 3 drives rotating circular disc 6 to start in rotation process, and sliding block 9 will be in the rotation in sliding slot 9-00 It on 6 surface of disk, is slid in and out along sliding slot 9-00 directions, sliding block is horizontal will to pull spring 7-0 to extend with vertical bracing wire 9-0 To corresponding position, after the stabilization of sliding block 9, spring 7-0 no longer extends at this time, reads 0 quarter on the micro- ruler 7-4 of micro- ruler transparent glass cylinder Spend the position readings x of the transparent glass cylinder main scale 10-1 corresponding to line2;And read institute of the sliding block 9 in sliding slot 9-00 in place (i.e. sliding block is apart from shaft radius) is put, is corresponded to using the 0 graduation mark 9-300 of micro- ruler of micro- ruler 9-30 on sliding block 9 on horizontal scale bar 8 Main scale scale 8-0 cooperation reading r (being accurate to 0.1mm);
(6) according to as above experiment data streams read x1、x2, spring elongation Δ x=x can be obtained2-x1If the elongation system of spring Number k, according to Hooke's law f=k Δ x, which is that centrifugal force namely sliding block 9 distance in rotating circular disc 6 of sliding block 9 turn Wheelbase is from the centripetal force for r;
(7) and know that for sliding block 9 to shaft distance (radius), the theoretical value of centripetal force is calculated according to formula (1) by r;Then The comparison of experiment value and theoretical value is expressed as with percent error
(8) similarly, using same angular velocity omega0(rad/s), quality is m by we2(m2> m1) sliding block 9 be placed on cunning In rotating circular disc 6 in slot 9-00, micro- ruler 9-30 edges on sliding block 9 are adjacent with main scale 8-0 edges, and by sliding block it is horizontal with it is perpendicular Vertical pulling line 9-0 is tensed, and when testing, circular small machine 3 drives rotating circular disc 6 to rotate, and treats rotation of the sliding block 9 in sliding slot 9-00 After 6 surface-stable of disk, the final reading x after spring elongation is read3And read 9 barycenter of sliding block (i.e. micro- 0 graduation mark 9- of ruler 300) corresponding main scale scale 8-0 readings r1, i.e., sliding block 9 is apart from shaft radius;Then Δ x '=x3-x1, centripetal force f=k Δs x '; Again with m2、r1Substitution formula (1), the theoretical value f calculatedIt is theoretical=m ω0 2r1Compare therewith, represented using percent error formula (2) It;
(9) if rotational speed sets knob 4-6, very fast angular velocity omega is reset11> ω0) (rad/s), by matter It measures as m1Sliding block 9 be placed in the rotating circular disc 6 in sliding slot 9-00, micro- ruler 9-30 edges on sliding block 9 and main scale 8-0 edges phase Neighbour, and tense that (spring position initial reading is x with vertical bracing wire 9-0 by sliding block is horizontal1), rotate circle when circular small machine 3 drives After 6 slow-roll stabilization of disk, the last current state position after spring 7-0 elongations can pass through 0 on the micro- ruler 7-4 of micro- ruler transparent glass cylinder The position readings of transparent glass cylinder main scale 10-1 corresponding to graduation mark are x4, at this point, according to 9 barycenter of sliding block (i.e. micro- 0 scale of ruler Line 9-300) corresponding main scale scale 8-0 readings are r2, elongation Δ x "=x of spring4-x1, by r2Formula (1) is substituted into calculate Go out the theoretical value f of centripetal forceIt is theoretical=m ω1 2r2Compared with experiment value f=k Δs x ", represented using percent error formula (2) It;
Conclusion:By above-mentioned experiment, formula is demonstrated:F=m ω1 2r2=m (4 π2)/T2r2It is correct.

Claims (5)

1. a kind of novel centripetal force quantitative measurment experiment instrument, it is characterised in that:Including experiment porch and peripheral fixed frame (1), tune Flat support leg (1-0), experiment instrument side supporting walls (1-2), experiment instrument platform (1-3), experiment instrument support upper beam (1-4), circle are small Motor (3), electric cabinet (4), rotating circular disc (6), measurement centripetal force size spring system (7), horizontal scale bar (8) and sliding block (9);Experiment instrument is provided with experiment porch and peripheral fixed frame (1), and experiment instrument platform (1-3) has the storage of experiment instrument repair part Drawer (2), experiment instrument platform (1-3) bottom are provided with leveling support leg (1-0), and experiment instrument platform (1-3) both sides are provided with a left side Right experiment instrument side supporting walls (1-2), experiment instrument side supporting walls (1-2) top are provided with experiment instrument support upper beam (1-4);
Experiment instrument support upper beam (1-4) center vertical direction be fixedly mounted measurement centripetal force size spring system (7), measure to The transparent glass cylinder (10) with scale is cased with outside mental and physical efforts size spring system (7), under the transparent glass cylinder (10) with scale Horizontal scale bar (8) both ends at end are fixedly mounted on experiment instrument side supporting walls (1-2), to the left in the middle part of horizontal scale bar (8) Position is equipped with centripetal force horizontal guy and vertical bracing wire drive (8-2), the horizontal vertical side with vertical bracing wire (9-0) of sliding block To bracing wire and horizontal direction bracing wire respectively with it is tangent on the right side of the wheel rim of centripetal force horizontal guy and vertical bracing wire drive (8-2) and Tangent on the downside of wheel rim, the horizontal horizontal direction bracing wire with vertical bracing wire (9-0) of sliding block is connected with sliding block (9), sliding block level with it is perpendicular The vertical direction bracing wire of vertical pulling line (9-0) is connected with measurement centripetal force size spring system (7);
Horizontal scale bar (8) is marked with main scale scale (8-0), and sliding block (9) is equipped with micro- ruler (9-30);Measure centripetal force size bullet Spring system (7) lower end is by centripetal force bracing wire directional rotating device (7-2) by micro- ruler transparent glass cylinder (7-3) and spring (7-0) It connects, micro- ruler transparent glass cylinder (7-3) is placed in transparent glass cylinder (10) inside with scale, micro- ruler transparent glass cylinder (7-3) is equipped with micro- micro- ruler of ruler transparent glass cylinder (7-4), and the transparent glass cylinder (10) with scale is equipped with transparent glass cylinder master Ruler (10-1);
Fixed disc on the machine shaft (3-4) of the circular small machine (3) of horizontal scale bar (8) lower end is installed and stops circle (3-2), Disk stops circle (3-2) upper end socket rotating circular disc (6), rotating circular disc (6) upper end installation disk locking loop coil (3-3), disk Stop that circle (3-2) and disk locking loop coil (3-3) are fixed therebetween by rotating circular disc (6), rotating circular disc (6) upper surface and transverse direction Scale bar (8) lower surface does not contact;The sliding slot (9-00) more than sliding block (9) width, sliding block are provided among horizontal scale bar (8) (9) it is placed in rotating circular disc (6) upper surface in the sliding slot (9-00) of horizontal scale bar (8).
2. novel centripetal force quantitative measurment experiment instrument according to claim 1, it is characterised in that:Circular small machine (3) is solid Between the motor fixing frame (3-1) of experiment porch (1-3), machine shaft (3-4) is packed into horizontal scale bar (8) for Dingan County Between, machine shaft (3-4) is not contacted with centripetal force horizontal guy and the drive of vertical bracing wire (8-2).
3. novel centripetal force quantitative measurment experiment instrument according to claim 1, it is characterised in that:Micro- ruler transparent glass cylinder The centripetal force bracing wire directional rotating device (7-2) of (7-3) upper end center installation, which is internally provided with centripetal force bracing wire orientation and rolls, to be turned Moving axis (7-22) and centripetal force bracing wire orientation rotating ball (7-21), centripetal force bracing wire orientation rotating ball (7-21) underface bolt have cunning Block is horizontal with vertical bracing wire (9-0).
4. novel centripetal force quantitative measurment experiment instrument according to claim 1, it is characterised in that:Circular small machine (3) is logical Motor supply lines (5) connection electric cabinet (4) is crossed, electric cabinet (4) is placed on experiment instrument platform (1-3), and electric cabinet is provided on (4) Electric cabinet indicator light (4-0), electric cabinet switch (4-1), timing start button (4-2), the number of turns set knob (4-3), time to show Display screen (4-4), number of turns display screen (4-5) and rotating speed set knob (4-6).
5. novel centripetal force quantitative measurment experiment instrument according to claim 1, it is characterised in that:Quarter on micro- ruler (9-30) It spends with micro- 0 graduation mark of ruler (9-300) symmetrically, micro- ruler (9-30) and main scale scale (8-0) homonymy.
CN201810038973.2A 2018-01-16 2018-01-16 A kind of novel centripetal force quantitative measurment experiment instrument Pending CN108062890A (en)

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Application publication date: 20180522