Question

the kinetic energy of a rotating body depends upon
A. Distribution of mass only
B. Angular speed only
C. Distribution of mass and angular speed
D. Angular acceleration only

Answer 1

the kinetic energy of a rotating body depends upon angular acceleration only

Answer 2

Answer:

C. Distribution of angular speed and mass.

Explanation:

The formula for rotational kinetic energy is,

$k=\frac{1}{2} I \omega^{2} \rightarrow(1)$

Here, I is the moment of inertia of the rotating body and ω is the angular speed.

The moment of inertia of the rotating body is,

$I=m r^{2} \rightarrow(2)$

Here, m is the mass of the rotating body and r is the radius of the rotating body.

Substitute eqn (2) in eqn (1), we get,

$k=\frac{1}{2} m r^{2} \omega^{2} \rightarrow(3)$

Thus, from eqn (3) it is proved that rotating kinetic energy depends on the distribution of mass and angular speed of the rotating body.