Calculate the centrifugal force experienced by a man of 60 kg standing at Chennai. (Given: Latitude of Chennai is 13^@)

Calculate the centrifugal force experienced by a man of 60 kg standing

1.	Calculate the centrifugal force experienced by a man of 60 kg standing at Chennai. (Given: Latitude of Chennai is 13^@)
Answer» Solution :The centrifugal FORCE is given by`F_c= m omega^2 R cos theta` The angular velocity `(omega)`of Earth = `(2pi)/(T)`where T is time period of the Earth (24 hours) `omega= (2pi)/(24 xx 60 xx 60) = (2pi)/(86400) = 7.268 xx 10^(-5) rad sec^(-1)` The radius of the Earth `R = 6400 KM = 6400 xx 10^3 m ` Latitude of Chennai = `13^@` `F_(cf) = 60 xx (7.268 xx 10^(-5) )^2 xx 6400 xx 10^3 xx cos (13^@) = 1.9678 N` A 60 kg man experiences centrifugal force of approximately 2 Newton. But due to Earth.s gravity a man of 60 kg experiences a force `= mg= 60xx 9.8 = 588 N` . This force is very MUCH larger than the centrifugal force.