Answer:
50 rad/s
Explanation:
Angular velocity equals the relative linear velocity divided by the radius.
vb = va + ωr
ω = (vb − va) / r
The disc has angular velocity 50 rad/s and radius 2 m. So the linear velocity of point A is v = (50 rad/s) (2 m) = 100 m/s. The linear velocity of point C is v = (50 rad/s) (1 m) = 50 m/s. And the linear velocity of point B is -100 m/s.
The angular velocity of point A with respect to point C is:
ω = (100 m/s − 50 m/s) / (1 m)
ω = 50 rad/s
The angular velocity of point A with respect to point O is:
ω = (100 m/s − 0 m/s) / (2 m)
ω = 50 rad/s
The angular velocity of point A with respect to point B is:
ω = (100 m/s − -100 m/s) / (4 m)
ω = 50 rad/s
