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Centripetal Force & Rotational Kinematics Lab What will happen if we increase the mass by a...

Centripetal Force & Rotational Kinematics Lab

What will happen if we increase the mass by a factor of 2 or decrease our mass by a factor of 2? JUSTIFY YOUR ANSWER MATHEMATICALLY ASSUMING CONSTANT RADIUS AND SPEED!

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Answer #1

If mass of the rotating object changes ( increases/decreases ), then the centripetal force changes

( increases/decreases ) by the same factor.

From the definition of force, ( force ) = mass × acceleration

Force = m ( v2 /r )

To maintain a particular circular motion, there will be a particular acceleration. An object with more mass must have more centripetal force acting upon it.

In the following cases, the centripetal force increases.

(1) the mass of the object increases

(2) the speed of the object increases

(3) the radius of the circle in which it is travelling decreases

If speed and radius are constant, F is proportional to mass , m

If m -is doubled , then F-----> 2F

If m -is halved , then F-----> F /2

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