Question

When a cyclist turns on a circular path,the necessary centripetal force is provided by friction between the tyres and the road. If centripetal force is not provided by friction, then for the vehicle to move on circular path, the track is banked. The correct angle of banking for a curved smooth road of radius 120 m for a speed of 108 km//h(g=10 ms^(-2)) is

Answer 1

Answer:

37 degrees

Explanation:

$v = \sqrt{rgtan \alpha }$

when friction is zero

• v = velocity of object
• r = radius of curve of path
• α = bank angle

180km/hr = 180 x 5/18 = 30 m/s

30 = √[120 x 10 tan α ]

tanα = 900/1200

=3/4

α = 37 degrees