Home
Class 11
PHYSICS
At which angular speed the earth should ...

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

Text Solution

AI Generated Solution

To determine the angular speed at which the Earth should rotate so that the apparent weight of an object at the equator becomes zero, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding Apparent Weight**: The apparent weight \( W' \) of an object is given by the formula: \[ W' = mg - mR_e \omega^2 \cos^2(\lambda) ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • GRAVITATION

    MODERN PUBLICATION|Exercise Conceptual Questions|19 Videos
  • GRAVITATION

    MODERN PUBLICATION|Exercise Tough & Tricky Problems|10 Videos
  • GRAVITATION

    MODERN PUBLICATION|Exercise Chapter Practice Test|15 Videos
  • MATHEMATICAL TOOLS

    MODERN PUBLICATION|Exercise PRACTICE PROBLEMS (10)|12 Videos

Similar Questions

Explore conceptually related problems

How many times faster than its present speed the earth should rotate so that the apparent weight of an object at equator becomes zero ? Given radius of the earth = 6.37 xx 10^(6) m . What would be the duration of the day in that case ?

At what rate should the earth rotaste so that the apparent g at the equator becomes zero? What wil be the length of the day in this situation?

Knowledge Check

  • If the earth stops rotating, then the weight of an object at the north pole will

    A
    decrease
    B
    increase
    C
    have twice its value at south pole
    D
    remain thee same
  • If earth were to rotate faster than its present speed, the weight of an object

    A
    increases at the equator but remain unchanged at poles
    B
    decreases at the equator but remain unchanged at the poles
    C
    remain unchanged at the equator but decreases at the poles
    D
    remain unchanged at the equator but increases at the poles
  • 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 ?

    A
    `1/400 rads^(-1)`
    B
    `1/800 rad s^(-1)`
    C
    `1/1600 rad s^(-1)`
    D
    `1/3200 rad s^(-1)`
  • Similar Questions

    Explore conceptually related problems

    Calculate the angular speed of rotation of the Earth so that the apparent g at the equator becomes half of its value at the surface. Also calculate the length of the day in this situation.

    With what time period earth should rotate so that objects at equator will be weightless :

    If the earth stops rotating, the apparent value of g on its surface will

    How much faster than it's normal rate should the earth rotate about it's axis so that the weight of the body at the equator becomes zero (R=6.4xx10^(6)m,g=9.8m//s^(2)) (in times)

    The angular speed of rotation of earth about its axis at which the weight of man standing on the equator becomes half of his weight at the poles is given by