Question

# For given values of angular speed and acceleration due to gravity, find the position (latitude) where acceleration due to gravity is(a) Maximum and (b) Minimum.

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Solution

## (a) Variation of g with latitude is given byg′=g−Rω2cos2θg′ will be maximum when cos2θ is minimum, i.e. =0, or, when θ=90∘⇒gmax=g, at the poles.(b) g′ will be minimum when cos2θ is maximum⇒ i.e. θ=0gmin=g−Rω2, at the equator.

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