Question

the kinetic energy and angular momentum of a body rotating with constant angular velocity are E and L what does 2E/L represent


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Answer 1

Answer:

the answer of this question will be like this ...

Answer 2

Answer:

The kinetic energy and angular momentum of a body rotating with constant angular velocity having the relation 2E/L represent ω i.e. angular velocity.

Explanation:

To solve this question we first need to know the relationship between kinetic energy, the moment of inertia, angular velocity, and angular momentum.

Let's look at it one by one.

First, we will see the relation between kinetic energy, the moment of inertia, and angular velocity i.e.

$E=\frac{1}{2}I\omega ^{2}$     (1)

Where,

E=kinetic energy of the body

I=moment of inertia

ω=angular velocity

  $L=I\omega$    (2)

L=Angular momentum

I=Moment of inertia

ω=Angular velocity

Now as per the question and using equations (1) and (2);

2E/L= $2$×$\frac{\frac{1}{2}I\omega^{2} }{I\omega}$= $\omega$=angular velocity

Hence, the kinetic energy and angular momentum of a body rotating with constant angular velocity having the relation 2E/L represent ω i.e. angular velocity.