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Objects that are at rest relative to the Earth\'s surface arein circular motion

ID: 1762272 • Letter: O

Question

Objects that are at rest relative to the Earth's surface arein circular motion due to Earth's rotation.
a) What is the radial acceleration of an object at theequator? b) Is the object's apparent weight greater or less than itsweight? Explain. c) By what percentage does the apparent weight differ from theweight at the equator? d) Is there any place on Earth where a bathroom scale readingis equal to your true weight? Explain. Objects that are at rest relative to the Earth's surface arein circular motion due to Earth's rotation.
a) What is the radial acceleration of an object at theequator? b) Is the object's apparent weight greater or less than itsweight? Explain. c) By what percentage does the apparent weight differ from theweight at the equator? d) Is there any place on Earth where a bathroom scale readingis equal to your true weight? Explain.

Explanation / Answer

a) The radial or centripetal acceleration at the equatorar = 2R ( R = radius of earth) b) Apparent weight is less than its acutal weight.Because apparent value of acceleration at the equator is g' = g -2R c) g' / g = ( 1 -   2R/g) d) at poles. Substitute values given below and solve.             g = 9.8 m/s2              = 2 / T             T = 24h             R = Radius of earth = 6800 km I hope this helps you.