2. A rock is whirled on the end of a string in a horizontal circle of radius R w

Question

2. A rock is whirled on the end of a string in a horizontal circle of radius R with a constant period T. If the radius of the circle is increased to 3R, while the period remains T, what happens to the centripetal acceleration of the rock? A) The centripetal acceleration remains the same. B) The centripetal acceleration increases by a factor of 3. C) The centripetal acceleration increases by a factor of 9. D) The centripetal acceleration decreases by a factor of 3. E) The centripetal acceleration decreases by a factor of 9.

Explanation / Answer

Let the angular speed = w

w = 2 pi/T

Since T remains same, therefore w remains same.

a = w^2 * R

w remains same and R is increased to 3R.

Therefore

the centripetal acceleration increased by a factor of 3 .

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