# physics

posted by Katie

A ball of radius 0.211 m rolls along a horizontal table top with a constant linear speed of 3.41 m/s. The ball rolls off the edge and falls a vertical distance of 2.27 m before hitting the floor. What is the angular displacement of the ball while the ball is in the air?

1. Elena

An angular velocity of the ball is
The ball is falling down, therefore,
h=gt^2/2.
Then
t=sqr(2h/g)=sqr(2•2.27/9.8)=0.68 s.
The angular displacement of the ball is
φ = ω •t =16.16•0.68 = 11 rad.

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