Variation Of Acceleration Due To Gravity With Latitude
Variation Of Acceleration Due To Gravity With Latitude — the NEET Physics formula with its derivation, variables, validity constraints and worked solver.
Variation of Acceleration due to Gravity with Latitude Applies to rotating celestial bodies (like Earth) to determine the reduction in gravity at different latitudes due to centrifugal force. Assumes spherical body. Define the centrifugal force on a mass m at latitude lambda: F c = m R omega 2 cos(lambda). Identify the component of centrifugal force opposite to gravity: F radial = m R omega 2 cos 2(lambda). Subtract the radial centrifugal acceleration from standard gravity g. Earth is assumed to be a perfect sphere. Only accounts for centrifugal force, not the oblate spheroid shape effect. Assuming gravity is uniform 9.8 m/s 2 everywhere on Earth. Confusing latitude (lambda) with the angle from the pole (colatitude). Forgetting to square the cosine term.