My class performed an experiment for rotational inertia: Angular motion using Da

Question

My class performed an experiment for rotational inertia: Angular motion using Data Studio and Rotary motion sensor. The chart below are my results form the experiment.

If data were taken for angular velocities after the accelerating force had been removed and the velocities plotted against time, what sort of curve would be expected if there were no friction? Why?

D6 0.912 y.int. : b(rad/s, 349 0.181 0.269 3.49 1.35 correlr arad/s^2):[slope) lexpt(·m22) from lexpt(kg·m22)(for ltheo.(kg·m22) %error no expt 6.81 10-4 8.76 1043 1.53 10A-4 1.15 104 3 1 Run 2 App 3 W Rod w/Rod & 2. I 5 wdisk 5 wýdonut 0.995 098 0 999 152 5.29 104-6 53 6.81 10-4 012 8.76 104.3 656 153 104-4 091211. 15 10A3 no theor 3.1 104 5.35 10A- 120 63.7 14.2 5.13 104 10

Explanation / Answer

You are using a torsional sensor which calculates torque

If angular velocities are plotted agains time we have velocity with which mass is moving down is dependent on its acceleration

So v = at

since the thread rolls on disk, or any body and no slipis assumed. velocity of both points will be same

So v = r w

So at = r * alpha* t

so a = r * alpha

So if velocity or angulatvelocity is plotted against time after removing the accelerating force, we are left with a line passing through origin which gives slope as alpha whichis angular acceleration.

The reason for straight line is becasue of constant acceleration due to gravity and constant tension in the string.

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