Question

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

Answer 1

Given : \(m = 200\,kg,\; r = 70\,m,\; \omega = 0.2\,rad/s\)

Centripetal force is given by

\(\begin{array}{l} F = m\omega^2 r \end{array}\)

\(\begin{array}{l} F = 200 \times (0.2)^2 \times 70 \end{array}\)

\(\begin{array}{l} = 200 \times 0.04 \times 70 \end{array}\)

\(\begin{array}{l} = 200 \times 2.8 = 560\,N \end{array}\)

Hence, centripetal force = 560 N.