Question

The moment of inertia and rotational kinetic energy of a flywheel are 20 kg metre square and thousand jewellery respectively its angular frequency per minute would be

Answer 1

Answer:

angular frequency of the wheel is 600 rad per minute

Explanation:

As we know that rotational kinetic energy is given as

$K = \frac{1}{2}I\omega^2$

now we know that

K = 1000 J

also we know that

$I = 20 kg m^2$

now we will have

$1000 = \frac{1}{2}(20)\omega^2$

$\omega^2 = 100$

$\omega = 10 rad/s$

$\omega = 600 rad/min$

#Learn

Topic : Rotational kinetic energy

https://brainly.in/question/5740585

Answer 2

The angular frequency per minute is $\dfrac{300}{\pi}$.

Explanation:

Given that,

Moment of inertia of the flywheel, $I=20\ kg-m^2$

Kinetic energy of the flywheel, K = 1000 J

To find,

The angular frequency per minute.

Solution,

The kinetic energy of an object in rotational kinematics is given by :

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

$\omega=\sqrt{\dfrac{2K}{I}}$

$\omega=\sqrt{\dfrac{2\times 1000}{20}}$

$\omega=10\ rad/s$

On covering rad/second to revolution per minute we get :

$\omega=\dfrac{300}{\pi}\ rev/min$

So, the angular frequency per minute is $\dfrac{300}{\pi}$.

Learn more,

Rotational kinematics

https://brainly.in/question/6607341