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
- Aincrease at some locations and remain unchanged at others
- Bremain unchanged everywhere
- Cdecrease everywhere
- 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