The Earth is rotating with angular velocity ω about its own axis. R is the radius of the Earth.
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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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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