A wheel of moment of inertia 0.500 kg-m 2 and radius 20.0 cm is rotating about its axis at an angular speed of 20.0 rad/s. It picks up a stationary particle of mass 200 g at its edge. Find the new angular speed of the wheel.

Question

Philoid · Accepted Answer

Given:

Radius of the wheel (r)= 20.0 cm

Moment of inertia (I₁) = 0.500 kg-m²

Angular speed (ω₁) = 20.0 rad/s

Mass of the particle it picks (m)= 200g

New angular speed (ω₂) =?

Since external torque is zero

A wheel of moment of inertia 0.500 kg-m2 and radius 20.0 cm is rotating about its axis at an angular speed of 20.0 rad/s. It picks up a stationary particle of mass 200 g at its edge. Find the new angular speed of the wheel.

A wheel of moment of inertia 0.500 kg-m² and radius 20.0 cm is rotating about its axis at an angular speed of 20.0 rad/s. It picks up a stationary particle of mass 200 g at its edge. Find the new angular speed of the wheel.