A flat disk with a radius of 0.71 m is attached to a string with tension 7.3 N.If it takes 12 seconds to reach 100 radians/sec from rest,what is the moment of inertia of the disk in kg-m²? A)1.23 * 10^-2 B)0.622 C)23.2 D)763.1 E)1094

Question

Quizplus · Accepted Answer

The moment of inertia (I) can be calculated using the equation:

I = (T*t^2)/(4*pi^2*theta)

Where T is the tension in the string, t is the time taken to reach the final angular velocity, and theta is the angular distance covered (in radians) during this time.

Substituting the given values, we get:

I = (7.3*12^2)/(4*pi^2*100)
I = 0.622 kg-m^2

A Flat Disk with a Radius of 0