What should be the angular velocity of earth due to rotation about its own axis so that the weight at th equator becomes (3/5) of initial value? ( g = acceleration due to gravity, R = radius of earth) (a) (R/3g)1/2 (b) (2g/5R)1/2 (c) (5g/9R)1/2 (d) (3g/2R)1/2

Answer: (b). At the equator: g' = g - ω² R g - ω² R = 3/5g ⇒ ω² = 2g/5R ω = (2g/5R)1/2 So the answer is (b).

What should be the angular velocity of earth due to rotation about… | MHT CET 2026 (15 Apr, Shift 1)

Q13MHT CET 2026 · 15 APR · SHIFT 1Medium

Acceleration Due to Gravity

What should be the angular velocity of earth due to rotation about its own axis so that the weight at $th$

equator becomes $\left(\frac{3}{5}\right)$ of initial value? ( $g =$ acceleration due to gravity, R = radius of earth)

Show answer and solution

Answer: (b)

Two planets A and B have densities ' ρ₁ ', ' ρ₂ ' and have radii ' r₁ ', ' r₂ '…MHT CET 2025 (25 Apr, Shift 1)
Acceleration due to gravity on the surface of earth is ' g '. If the diameter of earth is…JEE Main 2025 (24 Jan, Shift 2)
A body weighs 45 N on the surface of the earth. The gravitational force on a body due to…MHT CET 2025 (26 Apr, Shift 1)
Time period of a simple pendulum on earth's surface is ' T '. It time period becomes ' xT…MHT CET 2025 (22 Apr, Shift 1)
A body weighs 48 N on the surface of the earth. The gravitational force experienced by…NEET 2025
The depth at which the value of acceleration due to gravity becomes (1/n) times the value…MHT CET 2025 (25 Apr, Shift 2)
The gravitational pull of the moon is (1/6)th of the earth and mass of moon is (1/8) th…MHT CET 2025 (23 Apr, Shift 2)
The depth at which acceleration due to gravity becomes g/n is ( R = radius of earth, g =…MHT CET 2025 (26 Apr, Shift 2)