If the angular speed of the Earth is 7.26 × 10^-5 rad/s and radius of the Earth is 6,400 km

Monjur Alahi

If the angular speed of the Earth is 7.26 × 10-5 rad/s and radius of the Earth is 6,400 km, calculate the change in weight of 1 kg of mass taken from equator to pole.


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Salim Ahmed Kawsar

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Given: R = 6.4 × 106 m, ω = 7.26 × 10-5 rad/s

To find: Change in weight (∆W)

Formulae:

(i) ∆g = gp – geq = Rω2

(ii) ∆W = m∆g

Calculation: From formula (i) and (ii),

∆W = m(Rω2)

= 1 × 6.4 × 106 (7.26 × 10-5)2

= 3373 × 10-5 N

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