A rock is whirled on the end of a string in a horizontal circle of radius R with

Question

A rock is whirled on the end of a string in a horizontal circle of radius R with a constant speed, v.  If the radius of the circle is increaseded to 3R, while thespeed remains v, what happens to the centripetal acceleration of the rock?

The centripetal acceleration increases by a factor of 9.

The centripetal acceleration decreases by a factor of 3.

                            a.            The centripetal acceleration decreases by a factor of 9.                             b.           

The centripetal acceleration increases by a factor of 9.

                            c.           

The centripetal acceleration decreases by a factor of 3.

                            d.            The centripetal acceleration increases by a factor of 3.                             e.            The centripetal acceleration remains the same.

Explanation / Answer

a = v^2/r

so now

a = v^2/3R

so

c.

The centripetal acceleration decreases by a factor of 3.

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