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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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Answer» 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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