A circular race track of radious …

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A circular race track of radious 300m is banked at an angle of 15°. If the cofficient of friction between the wheel of car and the road is 0.2 , what is the
A. Optiumum speed of the race car to avoide wear and tear of its tyres and
B. Maximum permissible speed to avoide slipping.?
Posted by Pooja Sharma 6 years, 10 months ago
- 1 answers
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Gaurav Seth 6 years, 10 months ago
Optimum speed = v₀ = [RgtanΘ]¹⁻₂
R= 300
theta = 15⁰
g= 10
so, v₀= √300 x 10 x tan 15
= 28.06 ms⁻²
2. max speed= Vm= √Rg u+tan theta/ 1- utan theta
as u=0.2
= √300 x 10 0.2+tan15/1- 0.2tan 15
= 38.13 ms⁻¹
1Thank You