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WHAT IS ANGULAR VELOCITY AT ANY POINT ON THE EQUATER SO THAT THA BODY FEEL WEIGTLESSNESS

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by SHWETASAGAR

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by SHWETASAGAR

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Earth rotates about itself with an angular velocity

= ω = 2π /(86400) rad/sec = 72.722 micro radians/sec

Radius of Earth at equator = R = 6,400 km

acceleration due to gravity = g at Equator = GMe/R² = 9.81 m/sec²

Centripetal force on a mass m on the equator = m R ω²

Apparent weight = m g - m R ω₁² = 0 => weightlessness

ω₁ = √(g/R) = 1.238 milli radians/sec

ω₁ / ω = 17.023

SO Earth rotates about itself 17 times faster than now, then the people and objects on the Equator will feel weightlessness.

= ω = 2π /(86400) rad/sec = 72.722 micro radians/sec

Radius of Earth at equator = R = 6,400 km

acceleration due to gravity = g at Equator = GMe/R² = 9.81 m/sec²

Centripetal force on a mass m on the equator = m R ω²

Apparent weight = m g - m R ω₁² = 0 => weightlessness

ω₁ = √(g/R) = 1.238 milli radians/sec

ω₁ / ω = 17.023

SO Earth rotates about itself 17 times faster than now, then the people and objects on the Equator will feel weightlessness.