For the questions in this problem, use the following sample data table #1. 0.109

Question

For the questions in this problem, use the following sample data table #1.

0.1097 kg

A) If I measure an angular acceleration of 81.82 rad/s2 for the disk, what is the tangential acceleration?

Express your answer in meters per second squared, using 3 significant figures.

B) What is the theoretical value of the moment of inertia of the disk, based on its dimension and mass?

Express your answer in kgm2 , with three significant figures.

Item Value Step Pulley radius (r ) 2.36×102 m Ring, inside radius (R1 ) 1.295×102 m Ring, outside radius (R2 ) 4.4×102 m Disk, radius (R ) 4.459×102 m Mass of Ring (MRing ) 0.2788 kg Mass of Disk (MDisk )

0.1097 kg

Explanation / Answer

relation between tangential accleration and angular accleration

a = r A

a = 0.0459 * 81.82

a = 3.75 m/s^2

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MOment of Inertia I = 0.5 mR^2

I = 0.5 * 0.1097 * 0.0459 *0.0459

I = 1.15 e -4 Kg/m^2

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