Question

If the radius of earth is 6400 km, is angular velocity is

Answer 1

Answer:

There is a relationship for a body to be weightless at the equator.

That relationship is given by:

begin mathsize 12px style straight omega equals square root of straight g over straight R end root end style

where 'w' is the angular speed, 'g' is the acceleration due to gravity and R is the radius of the Earth.

Substituiting the given values in the above equation,

6400 km = 6400 x 103 m

begin mathsize 12px style straight omega equals square root of fraction numerator 10 over denominator 6400 cross times 10 cubed end fraction end root

straight omega equals square root of 1 over 640000 end root

straight omega equals 1 over 800 space rad divided by straight s end style

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