Question

A pellet of mass $1g$ is moving with an angular velocity of $1rad/s$ along a circle of radius $1$ m the centrifugal force is
A. $0.1$ dyne
B. $1$ dyne
C. $10$ dyne
D. $100$ dyne

Answer 1

To solve this question we should know the meaning of centrifugal force which we have to calculate. This is a force arising from any body’s inertia. Which is responsible for a body to move in a circular path. The direction of the force is away from the Centre around which the body is moving.

Complete step by step answer:
Now we also should know the meaning of centripetal force. which is exactly the same as the centrifugal force but there is a little difference between these two forces. Centripetal force is also the cause of a moving motion in a circular path but the direction of the force is inward around which the boy is moving. Here according to the question,
Given, m $= 1g = 1 \times {10^{ - 3}}kg$
Here $m$ is the mass of the pellet.
Now $\omega$ is the angular velocity which is equal to $1rad/s$. $r$ is the radius of the circle which is equal to $1$m. Hence the formula of centrifugal force is $m{\omega ^2}r$ Which is equal to ${10^{ - 3}}N$.
$\therefore 1N = {10^5}dyne$
So here we have ${10^{ - 3}}N$ . Therefore, it will be $100$ dyne.

Therefore the right option would be option D.

Note: We can get confused between centripetal force and centrifugal force. Both look the same. But there is a little difference between them which we should remember. Both forces are responsible for a motion which happens in a circular path but direction of one is outwards and another one is inwards.