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A solid sphere is rotating in free space. If the radius of sphere is increased keeping mass same which one of the following will not be affected?

a)

Angular velocity

b)

Angular momentum

c)

Moment of inertia

d)

Rotational Kinetic energy



Question ID - 53899 | SaraNextGen Top Answer

A solid sphere is rotating in free space. If the radius of sphere is increased keeping mass same which one of the following will not be affected?

a)

Angular velocity

b)

Angular momentum

c)

Moment of inertia

d)

Rotational Kinetic energy

1 Answer
127 votes
Answer Key / Explanation : (b) -

(b)

A solid sphere is rotating in free space, so there is no external torque.

,                         

But the rate of change of angular momentum is equal to the torque.

then                  

or                       

or                         constant

But  , if we increase the radius of the sphere then its moment of inertia  increases. From , its angular velocity decreases.

Also we know that the rotational energy

Hence,  decreases as  is increases.

127 votes


127