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

Hint: 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.