Home
Class 11
PHYSICS
With what angular velocity the earth sho...

With what angular velocity the earth should spin in order that a body lying at `37^@` latitude may become weightless.

A

`5/4 sqrt(g/R)`

B

`25/16sqrt(g/R)`

C

`5/3sqrt(g/R)`

D

`25/9sqrt(g/R)`

Text Solution

Verified by Experts

The correct Answer is:
A
Due to effect of rotation of earth.
`g'=g-omega^(2) R_(e) cos^(2) theta`
for `theta=37^(@)`
`omega=5/4 sqrt(g/(R_(e)))`
Promotional Banner

Topper's Solved these Questions

  • GEOMETRICAL OPTICS

    RESONANCE|Exercise Exercise|63 Videos

  • HEAT TRANSFER

    RESONANCE|Exercise Advancel Level Problems|17 Videos

Similar Questions

Explore conceptually related problems

Find the angular speed of earth so that a body lying at 30^(@) latitude may become weightless.

What is the angular velocity of the earth?

What is angular velocity of earth spinning around its own axis ?

Calculate angular velocity of the earth so that acceleration due to gravity at 60^(@) latitude becomes zero (radius of the earth = 6400 km, gravitational acceleration at poles = 10 m//s^(2) , cos60^(@) = 0.5 )

What is the angular velocity of a particle lying on the axis of rotation ?

With what angular velocity should a 20 m long cord be rotated such that tension in it, while reaching the highest point, is zero

What should be the angular velocity of earth about its own axis so that the weight of the body at the equator would become 3/4 th of its present value ?

The angular velocity of earth at present is omega . What should be its angular velocity so that the body lying at the equator flies off

The angular velocity of the earth with which it has to rotate so that the acceleration due to gravity on 60^@ latitude becomes zero is

RESONANCE-GRAVITATION-Exercise
  1. The height of the point vertically above the earth's surface, at which...

    Text Solution

    |

  2. A satellite with kinetic energy E(k) is revolving round the earth in a...

    Text Solution

    |

  3. Two particles of equal mass (m) each move in a circle of radius (r) un...

    Text Solution

    |

  4. With what angular velocity the earth should spin in order that a body ...

    Text Solution

    |

  5. Which of the following graphs represents the motion of the planet movi...

    Text Solution

    |

  6. The orbital velocity of an satellite in a circular orbit just above th...

    Text Solution

    |

  7. Maximum height reached by a rocket fired with a speed equal to 50% of...

    Text Solution

    |

  8. A geostationary satellite is one

    Text Solution

    |

  9. The period of a satellite in a circular orbit of radius R is T, the pe...

    Text Solution

    |

  10. Energy required to move a body of mass m from an orbit of radius 2R to...

    Text Solution

    |

  11. A satellite of mass m revolves around the earth of radius R at a hight...

    Text Solution

    |

  12. The change in the value of g at a height h above the surface of the ea...

    Text Solution

    |

  13. Three particles each of mass m are kept at the vertices of an euilater...

    Text Solution

    |

  14. A planet is revolving around the sun in an elliptical orbit. Which out...

    Text Solution

    |

  15. According to Kepler's second law, the radius vector to a planet from t...

    Text Solution

    |

  16. Two artificial satellites of the same mass are moving around the earth...

    Text Solution

    |

  17. Two satellities s(1) a & s(2) of equal masses revolves in the same sen...

    Text Solution

    |

  18. Radius of the earth is R and the mean density is rho. Find out the gra...

    Text Solution

    |

  19. A body which is initially at rest at a height R above the surface of t...

    Text Solution

    |

  20. A tunnel is dug along the diameter of the earth. There is particle of ...

    Text Solution

    |