Amachine part has the shape of a solid uniform sphere of mass 245 g and diameter 4.30 cm . it is spinning about a frictionless axle through its center, but at one point on its equator it is scraping against metal, resulting in a friction force of 0.0200 n at that point. find its angular acceleration. let the direction the sphere is spinning be the positive sense of rotation.

Angular acceleration,

Explanation:

It is given that,

Mass of the solid sphere, m = 245 g = 0.245 kg

Diameter of the sphere, d = 4.3 cm = 0.043 m

Radius, r = 0.0215 m

Force acting at a point, F = 0.02 N

Let is its angular acceleration. The relation between the angular acceleration and the torque is given by :

I is the moment of inertia of the solid sphere

For a solid sphere,

So, its angular acceleration is . Hence, this is the required solution.