A motor cyclist goes around a circular track 252.8 meter long at 74 km/hr. How far from the vertical must he lean inwards to keep his balance ?
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A motor cyclist goes around a circular track 252.8 meter long at 74 km/hr. How far from the vertical must he lean inwards to keep his balance ?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°
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