Question

Find the angular speed of rotation of the Earth so that bodies on the equator would feel no weight. (Radius of the Earth = 6400 km, g = 9.8 m/s² ]

Answer 1

Data : Radius of the Earth = r = 6400 km 

= 6.4 × 10⁶ m, g = 9.8 m/s²

As the Earth rotates, the bodies on the equator revolve in circles of radius r. 

These bodies would not feel any weight if their centripetal acceleration (ωr) is equal to the acceleration due to gravity (g).

∴ ω²r = g 

The angular speed of the Earth’s rotation,