Given below are two statements: Statement I : Rotation of the earth shows effect on the value of acceleration due to gravity ( g ) . Statement II : The effect of rotation of the earth on the value of

Question

Given below are two statements: Statement I : Rotation of the earth shows effect on the value of acceleration due to gravity ( g ) . Statement II : The effect of rotation of the earth on the value of g at the equator is minimum and that at the pole is maximum. In the light of the above statements, choose the correct answer from the options given below

TestHub · Accepted Answer

The variation of acceleration due to gravity with the rotation of Earth can be written as
$g' = g - ω^{2} R \cos^{2} λ . . . (1)$
Substitute $0 °$ for $λ$ for equatorial position to obtain the acceleration due to gravity.
$\begin{array}{rcl} g' & = & g - ω^{2} R \cos^{2} 0 ° \\ = & g - ω^{2} R \end{array}$
Substitute $90 °$ for $λ$ for polar position to obtain the acceleration due to gravity.
$\begin{array}{rcl} g' & = & g - ω^{2} R \cos^{2} 90 ° \\ = & g \end{array}$
The above two equations show that the effect on acceleration due to gravity is maximum at the equator and minimum at pole.

Physics - Gravitation Question with Solution | TestHub

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