Question

The Kinetic Energy and angular momentum of a body rotating with constant angular
velocity are E and L what does 2E/L represent?

Answer 1

Explanation:

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Answer 2

Answer:

$\frac{2E}{L}$ represents ω i.e.angular velocity.

Explanation:

The kinetic energy of a body rotating with constant angular velocity is given as,

$E=\frac{1}{2}I\omega ^2$     (1)

Where,

E=kinetic energy of the rotating body

I=moment of inertia of the body

ω=angular velocity of the body

Also,

$L=I\omega$       (2)

L=angular momentum of the rotating body

Now,

$\frac{2E}{L} =\frac{2\times \frac{1}{2}I\omega ^2}{I\omega}$           (by using equations 1 and 2)

$\frac{2E}{L} =\omega$     (3)

Hence, $\frac{2E}{L}$ represents ω i.e.angular velocity.