Home
Class 11
PHYSICS
How many hours would make a day if the e...

How many hours would make a day if the earth were rotating at such a high speed that the weight of a body on the equator were zero

A

`6.24`

B

`1.4h`

C

`28 h`

D

`5.6h`

Text Solution

Verified by Experts

The correct Answer is:
B
`mg=mRomega^(2)`
`R=` radius of earth
`omega=sqrt(g/R)`
`T=2pisqrt(R/g)=2pisqrt(64000)`
`=2pixx800s=(2pixx800)/3600h=1.360.14h`
Promotional Banner

Topper's Solved these Questions

  • GRAVITATION

    CENGAGE PHYSICS|Exercise Multiple Correct|24 Videos

  • GRAVITATION

    CENGAGE PHYSICS|Exercise Assertion- Reasoning|13 Videos

  • GRAVITATION

    CENGAGE PHYSICS|Exercise Subjective|15 Videos

  • FLUID MECHANICS

    CENGAGE PHYSICS|Exercise INTEGER_TYPE|1 Videos

  • KINEMATICS-1

    CENGAGE PHYSICS|Exercise Integer|9 Videos

Similar Questions

Explore conceptually related problems

If the rotational speed of earth increase, then weight of body at the equator

If earth were to rotate faster than its present speed, the weight of an object

If the Earth were a hollow sphere, what would be the weight of a body below its surface?

If the speed of rotation of earth about its axis increases, then the weight of the body at the equator will

Suppose the earth increases it speed of rotation. At what new time period will the weight of a body on the equator becomes zero ? (Take, g = 10 ms^(-2) and radius of earth R = 6400 km)

Suppose the earth increases its speed of rotation . At what new time period will the weightof a body on the equator becomes zero? Take g=10 m/s^2 and radius of the earth R=6400 km .

At which angular speed the earth should rotates so that the apparent weight of an object at equator will become zero ?

Assertion : If the earth stops rotating about its axis, the value of the weight of the body at equator will decrease. Reason : The centripetal force does not act on the body at the equator.

CENGAGE PHYSICS-GRAVITATION-Single Correct
  1. The gravitational potential due to earth at infinite distance from it ...

    Text Solution

    |

  2. A projectile is fired from the surface of earth of radius R with a vel...

    Text Solution

    |

  3. How many hours would make a day if the earth were rotating at such a h...

    Text Solution

    |

  4. Two bodies of masses M(1) and M(2), are placed at a distance R apart. ...

    Text Solution

    |

  5. In the solar system, the Sun is in the focus of the system for Sun-ear...

    Text Solution

    |

  6. A body is released from a point of distance R' from the centre of eart...

    Text Solution

    |

  7. A solid sphere of uniform density and radius R applies a gravitational...

    Text Solution

    |

  8. The value of g at a particular point is 10 m s^(-2). Suppose the earth...

    Text Solution

    |

  9. Two satellites of masses of m(1) and m(2)(m(1)gtm(2)) are revolving ro...

    Text Solution

    |

  10. The earth moves around the Sun in an elliptical orbit as shown in Fig....

    Text Solution

    |

  11. Figure shows two shells of masses m(1) and m(2). The shells are concen...

    Text Solution

    |

  12. Suppose the acceleration due to gravity at earth's surface is 10ms^-2 ...

    Text Solution

    |

  13. Two satellites A and B of the same mass are revolving around the earth...

    Text Solution

    |

  14. What is the minimum energy required to launch a satellite of mass m fr...

    Text Solution

    |

  15. What is the mass of the planet that has a satellite whose time period ...

    Text Solution

    |

  16. If the mass of a planet is 10% less than that of the earth and the rad...

    Text Solution

    |

  17. If a man at the equator would weigh (3//5)th of his weight, the angula...

    Text Solution

    |

  18. In order to shift a body of mass m from a circular orbit of radius 3R ...

    Text Solution

    |

  19. A uniform ring of mas m and radius a is placed directly above a unifor...

    Text Solution

    |

  20. A tunnel is dug along a diameter of the earth. Find the force on a par...

    Text Solution

    |