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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.?
  • 1 answers

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

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