Question

A particle of mass 'm' rotates in a circle of radius 'a' with a uniform angular speed ω. It is viewed from a frame rotating about Z-axis with a uniform angular speed ω0 . The centrifugal force on the particle is
(a) mω²a (b) mω0²a (c) m{(ω+ω0)/2}²a (d) mωω0a

Answer 1

Answer ⇒ Option (b).  Centrifugal force is ω₀²a.

Explanation ⇒ We know that when we used to judge or see any object from the frame which have some motion, the we are said to be in Non-Inertial Frame of the Reference. In such Frame, Newton's law of Motions are not valid and we need to apply the Pseudo Force to make then valid under these conditions.

Now, If we are seeing any object of mass which is rotating from the other frame which is also rotating with the angular speed ω₀ then we need to apply the Pseudo Force on the particle of mass which will given by the Formula,

• F = mω₀²r.

Hence, Option (b). is correct.

Hope it helps.