If the radius is doubled and the speed is reduced to half of its original value, the Centrifugal force would become

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 = mrω²;

Here, the radius is doubled, speed is halved;

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

⇒ F₁ = 2F₂;