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Effect of the earth's rotation on weight at the equator

This type of question, asked 4 times: 16 May 2023 S1, 11 May 2024 S1, 15 Apr 2026 S1, 17 Apr 2026 S1. All 4 questions below, oldest first.

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  1. Question 1

    16 May 2023 S1

    41
    The speed with which the earth would have to rotate about its axis so that a person on the equator would weigh 35\frac{3}{5}th as much as at present weight is (g=g = gravitational acceleration, R=R = equatorial radius of the earth)

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  2. Question 2

    11 May 2024 S1

    25
    The radius of earth is 6400 km and acceleration due to gravity =10= 10 ms−2^{-2}. For the weight of body of mass 5 kg to be zero on equator, rotational velocity of the earth must be (in rad/s)

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  3. Question 3

    15 Apr 2026 S1

    108
    What should be the angular velocity of earth due to rotation about its own axis so that the weight at equator becomes (35)th\left(\dfrac{3}{5}\right)^{th} of initial value? (g=g = acceleration due to gravity, R = radius of earth)

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  4. Question 4

    17 Apr 2026 S1

    108
    The speed with which the earth would have to rotate about its axis so that a person on the equator would weigh 35\dfrac{3}{5}th as much as at present is (gg = gravitational acceleration, RR = equatorial radius of the earth.)

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