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

Question

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

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.

Monjur Alahi

6 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

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

To find: Change in weight (∆W)

Formulae:

(i) ∆g = g_p – g_eq= 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^-5N

6 views Answered 2023-02-05 15:29