Let a body be placed at a point on the earth’s surface at a latitude

1.	Let a body be placed at a point on the earth’s surface at a latitude λ where the radius of the earth is R. Then, the body experiences an effective acceleration(a) g - Rω2 cos λ(b) g + Rω2 sin λ(c) g - Rω2 cos2 λ(d) g - Rω2/ cos2λ
Answer» Correct option (c) g - Rω² cos² λ Explanation: Effective acceleration g' is the vector sum of g and acceleration due to rotation of the earth rω² where r is the distance from the axis of rotation. Also one can neglect rω² compared to g while determining the magnitude g'. Therefore, g' = (g² - 2grω²cos² λ)^1/2. Also r can be written as Rcosλ where λ is the latitude.

Let a body be placed at a point on the earth’s surface at a latitude λ where the radius of the earth is R. Then, the body experiences an effective acceleration(a) g - Rω2 cos λ(b) g + Rω2 sin λ(c) g - Rω2 cos2 λ(d) g - Rω2/ cos2λ

Answer»

Correct option (c) g - Rω² cos² λ

Explanation:

Effective acceleration g' is the vector sum of g and acceleration due to rotation of the earth rω² where r is the distance from the axis of rotation. Also one can neglect rω² compared to g while determining the magnitude g'. Therefore, g' = (g² - 2grω²cos² λ)^1/2. Also r can be written as Rcosλ where λ is the latitude.

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Let a body be placed at a point on the earth’s surface at a latitude λ where the radius of the earth is R. Then, the body experiences an effective acceleration(a) g - Rω2 cos λ(b) g + Rω2 sin λ(c) g - Rω2 cos2 λ(d) g - Rω2/ cos2λ

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