Question

A circular racetrack of radius 300 m is banked at an angle of 20°. If the coefficient of friction
between the wheels of a race-car and the road is 0.2, what is the (a) optimum speed of the race
car to avoid wear and tear on its tyres and (b) maximum permissible speed to avoid slipping ?​

Answer 1

Answer:

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Answer 2

Answer:

(a) Optimum speed of car is

 tanθ=  

rg

v  

2

 

​  

 

v  

2

=rgtanθ

=10×300×tan15

v  

2

=780m/s

v=28m/s

(b) Maximum permissible speed to avoid slipping is

 v  

m

​  

=  

Rg(  

1−μtanθ

μ+tanθ

​  

)

​  

 

=  

300×10(  

1−0.2tan15

0.2+tan15

​  

)

​  

 

=  

1458.7

​  

 

=38.19m/s

Explanation:

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