A stone tied to a string is made to revolve in a horizontal circle of radius 4 m with an angular
speed of 2 radians per second. With what
tangential velocity will the stone move off the
circle if the string cuts?

The tangential velocity is 8 m/s

Explanation:

Uniform Circular Motion

It can be described as the motion of an object in a circle at a constant speed.

As an object moves in a circle, it continually changes its direction.

If the radius of the circle is r and the angular speed is w, then the tangential velocity is:

v = w.r

The stone is revolving in a circle of radius r=4 m with an angular speed of w=2 rad/s. The tangential velocity is:

v = 2 rad/s * 4 m

v = 8 m/s

b.

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