A vehicle of mass 200 kg is moving along a levelled curved road of radius 70 m with angular velocity of $0.2 \mathrm{rad} / \mathrm{s}$. The centripetal force acting on the vehicle is :

JEE Main · 2023 · 13 Apr 2023 · Shift 2 · Laws of Motion

A vehicle of mass 200 kg is moving along a levelled curved road of radius 70 m with angular velocity of

0.2 rad / s

. The centripetal force acting on the vehicle is :

(A)560 N✓ Correct
(B)2800 N
(C)14 N
(D)2240 N

Answer: (A)

Solution

The centripetal force is given by

F_{c} = m ω^{2} r

, where

m

is mass,

ω

is angular velocity, and

r

is radius. Substituting:

F_{c} = 200 \times (0.2)^{2} \times 70 = 200 \times 0.04 \times 70 = 560

JEE Main · 2023 · 13 Apr 2023 · Shift 2 · Single correct option

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