A solid sphere of (I=2/5mr^2) has a mass of 500g and a radius of 40cm. What is the angular momentum of the solid sphere if it rotated with a speed of 8rad/s?
First, we need to calculate the moment of inertia of the solid sphere:
I = 2/5mr^2
I = 2/5 * 0.5kg * (0.4m)^2
I = 0.016kgm^2
Next, we can use the formula for angular momentum:
L = Iω
L = (0.016kgm^2) * (8rad/s)
L = 0.128kgm^2/s
Therefore, the angular momentum of the solid sphere rotating with a speed of 8rad/s is 0.128kgm^2/s.