Home
Class 11
PHYSICS
Calculate the angular velocity of the ea...

Calculate the angular velocity of the earth for which effective acceleration due to gravity at the equator becomes zero. In this condition, what will be the length of the day ? Take `R_e =6400 km and g=10 m*s^(-2)`

Text Solution

Verified by Experts

The correct Answer is:
`1.25xx10^(-3)rad//s ;1.4 h`
Promotional Banner

Topper's Solved these Questions

  • NEWTONIAN GRAVITATION AND PLANETARY MOTION

    CHHAYA PUBLICATION|Exercise PROBLEM SET -II|29 Videos

  • NEWTONIAN GRAVITATION AND PLANETARY MOTION

    CHHAYA PUBLICATION|Exercise PROBLEM SET -II (Hots Numerical Problems)|14 Videos

  • NEWTONIAN GRAVITATION AND PLANETARY MOTION

    CHHAYA PUBLICATION|Exercise EXERCISE (Short Answer Type Questions-II)|4 Videos

  • NEWTON'S LAWS OF MOTION

    CHHAYA PUBLICATION|Exercise CBSE SCANNER|24 Videos

  • ONE - DIMENSIONAL MOTION

    CHHAYA PUBLICATION|Exercise CBSE SCANNER|19 Videos

Similar Questions

Explore conceptually related problems

For what value of the angular velocity of the earth, the acceleration due to gravity in the equatorial region would have been zero ? The average density of the earth's material =5.5 g*cm^(-3) and G=6.67xx10^(-8) CGS unit. Find the ratio of this calculated value and the present value of the angular velocity of the earth.

If both the radius and the mean density of a planet are half the radius and the mean density of the earth, what will be the acceleration due to gravity on the surface of that planet ? Given that the acceleration due to gravity on the earth's surface =980 cm*s^(-2)

The height vertically above the earth's surface at which the acceleration due to gravity becomes 1% of its value at the surface is (R is the radius of the earth)

What is the difference in the values of acceleration due to gravity at the polar region and at the equator due to the diurnal motion of the earth ? Radius of the earth=6400 km.

At what height above the surface of the earth will the acceleration due to gravity be half of its value on the earth's surface ? Radius of the earth =6400 km.

A body of mass m is raised from the surface of the earth up to a height equal to the radius R of the earth. If the acceleration due to gravity on the earth's surface is g , prove that the potential energy of the body has increased by 1/2 mgR.

Show that if the earth stops rotating about its axis, then the acceleration due to gravity at the equator will increase by 3.38 cm *s^(-2) . The radius of the earth =6.4 xx10^8 cm .

What will be the value of the acceleration due to gravity at a point 3 km above the earth's surface ? Diameter of the earth =12800 km and g=980cm*s^(-2) on the surface of the earth.

CHHAYA PUBLICATION-NEWTONIAN GRAVITATION AND PLANETARY MOTION-PROBLEM SET -I
  1. Show that if the earth stops rotating about its axis, then the acceler...

    Text Solution

    |

  2. Choose the correct alternative : (i) Acceleration due to gravity (in...

    Text Solution

    |

  3. Choose the correct alternative : (ii) Acceleration due to gravity (i...

    Text Solution

    |

  4. Choose the correct alternative : (iii) Acceleration due to gravity i...

    Text Solution

    |

  5. Choose the correct alternative : (iv) The formula -GMm(1//r2-1//r1) ...

    Text Solution

    |

  6. If both the radius and the mean density of a planet are half the radi...

    Text Solution

    |

  7. Calculate the angular velocity of the earth for which effective accele...

    Text Solution

    |

  8. Find the percentage decrease in the weight of a body when taken 32 km...

    Text Solution

    |

  9. The density of a planet is 1/3 rd that of the earth and its radius is ...

    Text Solution

    |

  10. Determine the value of the escape velocity from the surface of the moo...

    Text Solution

    |

  11. The radius of a planet is double than that of the earth but their aver...

    Text Solution

    |

  12. How much energy would be needed for a body of mass 10 kg to escape fro...

    Text Solution

    |

  13. The planet Mercury revolves around the sun once in 88 days. If the mea...

    Text Solution

    |

  14. Two planets are revolving around a star and the ratio of their average...

    Text Solution

    |

  15. An artificial satellite revolves around the earth in a circular path ...

    Text Solution

    |

  16. Let us assume that our galaxy consists of 2.5xx10^(11) stars each of o...

    Text Solution

    |

  17. Choose the correct alternative: (i) If the zero of potential energy ...

    Text Solution

    |

  18. Choose the correct alternative: (ii) The energy required to launch a...

    Text Solution

    |

  19. A satellite of mass 1000 kg moves in a circular orbit of radius 7000 k...

    Text Solution

    |

  20. An artificial satellites is revolving at a height of 500 km above the ...

    Text Solution

    |