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:

Solution

Physics sir · 4 steps

You are given ω, not v, so use F = mω² r directly and remember to square ω.

1. Pick the formula. Centripetal force is F = mv²/r. With v = ω r, this becomes F = mω² r, which uses the angular velocity you are given.

   F = mω² r = 200 × (0.2)² × 70

2. Put in numbers. (0.2)² = 0.04, so F = 200 × 0.04 × 70 = 8 × 70 = 560 N.
3. Check with speed. The speed is v = ω r = 0.2 × 70 = 14 m s⁻¹. Then mv²/r = (200 × 196)/70 = 560 N as well.
4. So. The centripetal force on the vehicle is 560 N, option (a).

The idea to keep. Centripetal force is mω² r or mv²/r. Pick the form that matches the data, and always square the speed or the angular velocity.

Answer from the NTA final answer key. Solution by PrepWiser.