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The Earth is rotating with angular velocity ω about its own axis. R is the radius of the Earth.If Rω2 = 0.03386 m/s2, calculate the weight of a body of mass 100 gram at latitude 25°.(g = 9.8 m/s2) |
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Answer» Given: Rω2 = 0.03386 m/s2, θ = 25°, m = 0.1 kg, g = 9.8 m/s2 To find: Weight (W) Formulae: i) g’ = g – Rω2 cos2 θ ii) W = mg Calculation: From formula (i), g’ = 9.8 – [0.03386 – cos2 (25°)] ∴ g’ = 9.8 – [0.03386 × (0.9063)2] ∴ g’ = 9.8 – 0.02781 ∴ g’ = 9.772 m/s2 From formula (ii), W = 0.1 × 9.772 ∴ W = 0.9772 N |
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