Question

The rotational kinetic energy of a rigid body of moment of inertia 5 kg-m is 10 joules. The angular
momentum about the axis of rotation would be
(1) 100 joule-sec (2) 50 joule-sec (3) 10 joule-sec (4) 2 joule-sec
i
nalen on anola of 600​

Answer 1

The angular momentum about the axis of rotation is 10 J-s.

(3) is correct option.

Explanation:

Given that,

Rotational kinetic energy = 10 J

Moment of inertia = 5 kg-m²

We need to calculate the angular momentum about the axis of rotation

Using formula of rotational energy

$K.E_{r}=\dfrac{1}{2}I\omega^2$

The angular momentum

$L = I\omega$

$\omega=\dfrac{L}{I}$

Put the value of angular velocity in the formula

$K.E_{r}=\dfrac{L^2}{2I}$

$L=\sqrt{2IK.E_{r}}$

Put the value into the formula

$L=\sqrt{2\times5\times10}$

$L=10\ j-s$

Hence, The angular momentum about the axis of rotation is 10 J-s.

Learn more :

Topic :

https://brainly.in/question/12386340