8/3/2019 Lab 10 Write Up2

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EllieQuirini

Lab10:AngularAccelerationPurpose: Wearegoingtoexertatorqueonseveralsimilarsystems,creatingangular

acceleration,andfindoutwhatwecanaboutthemomentofinertia.

Materials: TurnTable Pulley String HangingMass MeterStick Timer

Diagram:

ProcedureandData:

1. Setupthediscandpulleysystemasseenabove.

2. Measuremassesofdiscs,ring,bar,andhangingmass.

Discs 179.61g

Ring 711.8g

Bar 709.2g

Hanging 100.6g

3. Measuredistancefromfloorofhangingmass:0.9455m

4.Selecteitherthedisc,ring,orbarandplaceonturntableaccordingly.

MassCombo1:

(onlydiscs)

MassCombo2:

(discsw/ring)

MassCombo3:

(discswithbar)

Trial1 13.0sec 17.4sec 15.2sec

Trial2 13.1sec 17.2sec 15.6sec

Trial3 13.2sec 17.4sec 14.9sec

Disc(onturntable) Ring(onturntable) Bar(onturntable)

a1

m1

disc

8/3/2019 Lab 10 Write Up2

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=0t+t2

5. Wecandeterminethemomentofinertiaforthesystemsbyusingthemomentofinertiaequations:

6. Findtheradiiandlengthofdifferentcomponents:

7. CalculateexpectedangularaccelerationusingInertiaandTorque:

8. Nowweusethedatawecollectedearliertofindourownvalueforangularacceleration.

9. Weknowtheradiusofthecylinderthatthestringpulledfrom:.0185m Usingthisandourknowledgeofgeometry,wecandeterminehowmany

timestheturntablespuntoletoutenoughstringforthehangingmasstohit

theground.

10.Finally,wecanusesomesimplecalculationsusingandtheaveragetimesforeachcombowiththeTNEO(A)Mtofind:

Combo1:(onlydiscssolidcylinder) MR2

Combo2:(discsw/ring) MR2+MR2

Combo3:(discsw/bar) MR2+(1/12)ML2

Discs .1215m

Ring .0600m

Bar .2255m

Discs .01755=.00133=13.23rad/sec2

Ring .01755=.00389=4.51rad/sec2

Bar .01755=.00433=4.053rad/sec2

Combo1 51.12=0+(13.1)2

Combo2

Combo3

MR2=(0.17961)(0.1215)2=0.00133kgm2

MR2+MR2=(0.001326)+(0.7118)(0.06)2=0.00389kgm2

MR2+(1/12)ML2=(0.001326)+(1/12)(0.7092)(0.2255)2

=0.00433kgm2

=rF =I

r=.0178m

F=mg=0.9858N

=0.01755mN

Circumference:2r=0.116m

x=0.9455m

0.9455/0.116=8.134revolutionsperdrop

1rev=2rad

8.134rev=51.12rad=