This question was previously asked in

ESE Mechanical 2013 Official Paper - 2

Option 2 : 0.5 times the original value

__Concept:__

Centrifugal force:

- Centrifugal force is the force that acts on an object moving along a curved path and this force acts in a direction away from the center of rotation.
- The centrifugal force acting on an object tracing a circular path is given as \(F_c = \frac{mV^2}{r}\)

where m is the mass of the object, V is the velocity of the object and r is the radius of the circular path.

__Calculation__:

__Given:__

Form the condition V = rω, we get

F_{C} = mrω^{2};

Here, the radius is doubled, speed is halved;

\(⇒ \frac {F_1}{F_2} = \frac {mr\omega^2}{m\times 2r\times (\omega /2)^2}\)

**⇒ F _{1} = 2F_{2}**;