Home
Class 11
PHYSICS
A circular race track of radius 300 m is...

A circular race track of radius 300 m is banked at an angle of `15^(@)` 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 ?

A

`10sqrt3 "ms"^(-1)`

B

`9sqrt10 "ms"^(-1)`

C

`sqrt10 "ms"^(-1)`

D

`2sqrt10 "ms"^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
B
Here, R=300m, `theta=15^(@), g=10ms^(-2), mu=0.2` The optimum speed of the car to avoid wear and tear is given by
`v=sqrt(Rg tan theta)=sqrt(300xx10xxtan 45^(2))=sqrt(810)=9sqrt10ms^(-1)`
Promotional Banner

Topper's Solved these Questions

  • LAWS OF MOTION

    NCERT FINGERTIPS|Exercise Solving Problem In Mechanics|16 Videos

  • LAWS OF MOTION

    NCERT FINGERTIPS|Exercise Higher Order Thinking Skills|8 Videos

  • LAWS OF MOTION

    NCERT FINGERTIPS|Exercise Common Forces In Mechanics|19 Videos

  • KINETIC THEORY

    NCERT FINGERTIPS|Exercise Assertion And Reason|10 Videos

  • MECHANICAL PROPERTIES OF FLUIDS

    NCERT FINGERTIPS|Exercise Assertion And Reason|15 Videos

Similar Questions

Explore conceptually related problems

A circular racetrack of radius 300 m is banked at an angle of 15^(@) 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 aviod slipping ?

A circular race track of radius 400 m is banked at an angle of 10^(@) . If the coefficient of friction between the wheels of a race car and the road is 0.2 , what is the (i) optimum speed of the race car to aviod wear and tear on its tyres . maximum permissible speed to aviod slipping ?

A circular racetrack of radius 100 m is blanked at an angle of 45 ^(@) . What is the (i) Optimum speed of race car to acoid wear and tear of its tyres ? (ii) Maximum permissible speed to acoid slipping if the coefficient of friction is 0*22 ?

A car is negotisting a curved road of radius R . The road is banked at an angle theta. The coefficient of friction between the tyres of the car and the road is mu_(s) . The maximum safe velocity on this road is: