Gravitation Question 11
Question: The radius of the earth is 6400 km and $ [g=10m/{{\sec }^{2}}] $ . In order that a body of 5 kg weighs zero at the equator, the angular speed of the earth is[MP PMT 1985]
Options:
A) 1/80 radian/sec
B) 1/400 radian/sec
C) 1/800 radian/sec
D) 1/1600 radian/sec
Show Answer
Answer:
Correct Answer: C
Solution:
For the condition of weightlessness at equator $ [\omega =\sqrt{\frac{g}{R}}] $ \ $ [\omega =\sqrt{\frac{1}{640\times 10^{3}}}=\frac{1}{800}rad/s] $