Question

A motor cyclist is moving on a circular track of radius 80 m with a velocity of 72 km/hr. He has to lean from the vertical approximately through an angle (take g = 10 ms-2)

Answer 1

We first convert the speed to m/s

We convert as follows :

Velocity = 5/18 × 72 =  20 m/s

The formula is :

Tan x = gr / v^2

Where :

x = inclination angle

r = radius of the circular path

V = the velocity of the cyclist.

g = 10

We do the substitution as follows :

(10 × 80) / (20 × 20)

= 800/400) = 2

Tan x = 2

X = Tan inverse of 2

= 63.43°

Answer 2

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