Home
Class 12
PHYSICS
A circular road of radius 1000 m has ban...

A circular road of radius 1000 m has banking angle `45^@`. IF the coefficient of friction is between tyre and road is 0.5, then the maximum safe speed of a car having mass 2000 kg will be

A

`172 m//s`

B

`124 m//s`

C

`99 m//s`

D

`86 m//s`

Text Solution

Verified by Experts

The correct Answer is:
A
The maximum velocity for a banked road friction,
`v^(2)=gr((muxx tan theta )/(1-mu tan theta))` ,
`therefore v^(2)=9.8xx1000xx((0.5xx1)/(1-0.5xx1)) therefore v=172m//s`.
Promotional Banner

Topper's Solved these Questions

  • ATOMS, MOLECULES AND NUCLEI

    NIKITA PUBLICATION|Exercise MCQs|443 Videos

  • COMMUNICATION SYSTEMS

    NIKITA PUBLICATION|Exercise Multiple Choice Questions (Examples for Practice)|8 Videos

Similar Questions

Explore conceptually related problems

A car is moving on a horizontal circular track of radius 0.2 km with a constant speed. If coefficient of friction between tyres of car and road is 0.45, then maximum speed of car may be [Take g=10 m//s^(2) ]

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 car has to take a safe circular turn on horizontal flat rough road of radius 200 m. If the coefficient of friction between the tyres and road is 0.1 ,then maximum speed of car would be(All are in SI units)

A car is moving on a horizontal circular tracck of radius 0*2 km with a constant speed. If coefficient of friction between tyres of car and road is 0*45 , then speed of a car may be [ Take g = 10 m/s^(2)]

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 2000 kg car has to go over a turn whose radius is 750 m and the abgle of slopw is 5^(@) . The coefficient of friction between the wheels and the road is 0.5. What should be the maximum speed of the car so that it may go over the turn without slipping ?

NIKITA PUBLICATION-CIRCULAR MOTION-Multiple Choice Question
  1. A car is moving in a circular horizontal track of radius 10 m with a c...

    Text Solution

    |

  2. A road is 10 m wide. Its radius of curvature is 50 m . The outer edge ...

    Text Solution

    |

  3. A circular road of radius 1000 m has banking angle 45^@. IF the coeffi...

    Text Solution

    |

  4. An unbanked curve has a radius of 60m. The maximum speed at which a ca...

    Text Solution

    |

  5. A 100 kg car is moving with a maximum velocity of 9 m//s across a circ...

    Text Solution

    |

  6. the coefficient of friction between the rubber tyres and the roadway ...

    Text Solution

    |

  7. The radius of curvature of railway line at a place is 200 m. If the d...

    Text Solution

    |

  8. A small ball descibes a horozontal circle on the smooth inner surface ...

    Text Solution

    |

  9. A road is 10 m wide . Its radius of curvature is 50 m .The outer edge ...

    Text Solution

    |

  10. A car is travelling at 36 kmph on a road . The maximum turning radius ...

    Text Solution

    |

  11. At what angle should a road be banked so that the vehicle may take a b...

    Text Solution

    |

  12. A simple pendulum of length 1 m the bob performs circular motion in ho...

    Text Solution

    |

  13. In the above problem, the centripetal acceleration experienced by the ...

    Text Solution

    |

  14. A car is moving in a circular horizontal track of radius 10 m with a c...

    Text Solution

    |

  15. Each rod of a centrifugal governor is 10 cm long then the number of re...

    Text Solution

    |

  16. A simple pendulum has a length l . What minimum velocity should be imp...

    Text Solution

    |

  17. A bob is suspended from an ideal string makes an angle 60^(@) to the v...

    Text Solution

    |

  18. A pendulum bob on a 2 m string is displaced 60^(@) from the verticle ...

    Text Solution

    |

  19. Length of a simple pendulum is 2 m and mass of its bob is 0.2 kg .If t...

    Text Solution

    |

  20. A particle describes a horizontal circle on the smooth inner surface o...

    Text Solution

    |