An astronomer at the equator measures the doppler shift of sunlight at sunset. from this, she calculates that earth's tangential velocity at the equator is 465 m/s. the centripetal acceleration at the equator is 3.41 * 10^-2 m/s2. use this data to calculate earth's radius.

Answer : Radius of Earth is 6,340 Km.

Explanation

It is given that,

Tangential velocity of Earth at the equator, v = 465 m/s

Centripetal acceleration at the equation is,

We know that the relation between centripetal acceleration and tangential velocity is :

..........(1)

Where,

v is tangential velocity

r is the radius

Putting all values in equation (1)

or

The Earth's radius is 6,340 Km. Hence, this is the required solution.

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