The moment of inertia of an object depends on the shape of the object, location

Question

The moment of inertia of an object depends on the shape of the object, location and orientation of the axis of rotation. For a solid disk, when the disk is rotating about an axis that is perpendicular to the disk and passing through the center of the disk, the moment of inertia is given as I = (1/2)MR2 where M is the mass of the disk and R is the radius of the disk. (a) If the mass of the disk is 2.2 kg and the radius of the disk is 36 cm, what is the moment of inertia of the disk? Answer in kg m(squared). (b) If the disk is rotating at 160 rpm, what is the angular speed of the disk in unit of rad/s? (rpm stands for "round per minute" or "revolution per minute", and is a commonly used unit for rotational speed. Thus, 1 rpm = 2 rad/min = 2/60 rad/s.) Answer in rad/s

Explanation / Answer

a)I=0.5Mr2=0.5*2.2*0.362=0.1426kgm2

b)=160rpm=160*2/60=16.76rad/s

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