An object is moving in a circle with uniform angular speed. If the radius of the circle is doubled, then its centripetal acceleration will

Question

Question

This question was previously asked in

ALP CBT 2 Physics and Maths Previous Paper 2 (Held On: 21 Jan 2019 Shift 2)

Answer 1

CONCEPT:

Circular Motion: Circular motion is a movement of an object along the circumference of a circle or rotation along a circular path.
The force acts continuously at right angles to the velocity of the particle.
Uniform circular motion: The circular motion in which the speed of the particle remains constant is called uniform circular motion.
- In a uniform circular motion, force supplies the centripetal acceleration.

\(a_c = \frac{v^2}{r} = ω^2 r \)

Where ac is centripetal acceleration, v is velocity, r is the radius and ω is angular velocity.

F1 J.K Madhu 19.05.20 D1

Non-uniform circular motion: The circular motion in which the speed of the particles changes by time is called non-uniform circular motion.

EXPLANATION:

Given that:

The radius of the circular path is doubled: r' = 2r

Initial centripetal acceleration (a_c) = ω²r

Final centripetal acceleration (a'_c) = ω2r' = ω2(2r) = 2ω2r = 2a_c

So option 3 is correct.