A scooter weighing 150 kg together with its rider moving at 36 km/hr is to take a turn of radius 30 m. What horizontal force on the scooter is needed to make the turn possible?
Velocity of the scooter, v = 36 km/hr
= 36 × 5/18 m/s
= 10 m/s
Mass of the scooter, M = 150 kg
The turn will be possible when the both the forces acting on the scooter, radially inward and outwards the turn balance out.
⇒ Horizontal force required = centripetal force
=Mv2/Radius
=150×10×10/30
=500 N