Question

A car of mass 1000 kg rounds a curve of radius 250 m at 90 km/hr. Cpmpute its,

• A. Angular speed
• B. Centripal accelearation
• C. Centripetal accele ration
• D. Centripetal force.

Answer 1

The correct option is D Centripetal force.

Velocity =Radius $\times$ Angular velocity

Velocity $=90\times 5/18$m/s

Velocity $=25$ m/s

angular velocity=velocity/radius$=25/250=0.1$rad/s

centripetal acceleration =angular velocity${}^2\times radius=0.01\times 250=2.5m/s^{2}2$

Centripetal force=$m\times$centripetal acceleration $=2000\times 2.5=5000N$