The moment of inertia of a cylinder is 0.016 kg m^2 with radius 6.0 cm. (a) if the cylinder has a linear speed is 7.7 m/s, what is the magnitude of the angular momentum of the cylinder? (b) if the cylinder has a linear speed is 7.7 m/s, what is the magnitude of the rotational kinetic energy of the cylinder?

The magnitude of the angular momentum of the cylinder and the rotational kinetic energy of the cylinder are 0.0205 Kgm²/s and 0.01317 J

Explanation:

Given that,

Moment of inertia = 0.016 kg m²

Radius = 6.0

Linear speed = 7.7 m/s

We need to calculate the angular momentum

Using formula of angular momentum

Where, L = angular momentum

I = moment of inertia

=angular velocity

Put the value into the formula

We need to calculate the rotational kinetic energy of the cylinder

Using formula of Rotational kinetic energy

Hence, The magnitude of the angular momentum of the cylinder and the rotational kinetic energy of the cylinder are 0.0205 Kg m²/s and 0.01317 J