A mass is tied to a string and swung in a horizontal circle with a constant angular speed. show answer No Attempt If this speed is doubled, what happens to the tension in the string?

The tension in the string is quadrupled i.e. increased by a factor of 4.

Explanation:

The tension in the string is the centripetal force. This force is given by

m is the mass, v is the velocity and r is the radius.

It follows that , provided m and r are constant.

When v is doubled, the new force, , is

Hence, the tension in the string is quadrupled.

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