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Concepts Of Physics MCQ Edition [Volume 1]PhysicsCircular Motion

If the earth were to stop rotating, the apparent value of g on its surface would

Options

  1. Aincrease at some locations and remain unchanged at others
  2. Bremain unchanged everywhere
  3. Cdecrease everywhere
  4. Dincrease everywhere

Correct answer

A. increase at some locations and remain unchanged at others

Step-by-step solution

The apparent acceleration due to gravity at a latitude on the surface of the earth is given by: g' = g - R ^2 ^2 where R is the radius of the earth and is its angular velocity. If the earth stops rotating, = 0 , and the apparent acceleration due to gravity becomes g' = g . At the poles ( = 90^ ), = 0 , so g' = g both before and after the earth stops rotating. The value of g remains unchanged at the poles. At the equator ( = 0^ ), = 1 , so g' changes from g - R ^2 to g . The value of g increases. At all other latitu

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