Neglecting the latitudinal variation in the radius of the earth, derive a formula forthe angle a between the gravitational acceleration vector go and the effective gravityJeff at the surface of the earth as a function of latitude . [Draw a labelled diagramshowing the Earth with go, Jeff and the centrifugal acceleration at latitude p. Be carefulto identify all dependence on o.] At what latitude is the angle a a maximum andwhat is its maximum value? Next, derive a formula relating Jeff ² to go and 6,and use it to prove that Jeff go for any o. Find the ratio of the maximumcentrifugal acceleration to go. [~ Holton 1.1]

Effective force on a body in the Earth's frame which is rotating at a constant angular frequency ω→…

Neglecting the latitudinal variation in the radius of the earth, derive a formula for the angle a between the gravitational acceleration vector go and the effective gravity Jeff at the surface of the earth as a function of latitude 6. [Draw a labelled diagram showing the Earth with Jo, Jeff and the centrifugal acceleration at latitude o. Be careful to identify all dependence on o.] At what latitude is the angle a a maximum and what is its maximum value? Next, derive a formula relating Jeff 2 to go and 6, and use it to prove that Jeff go for any . Find the ratio of the maximum centrifugal acceleration to go. [~ Holton 1.1]

Neglecting the latitudinal variation in the radius of the earth, derive a formula for the angle a between the gravitational acceleration vector go and the effective gravity Jeff at the surface of the earth as a function of latitude 6. [Draw a labelled diagram showing the Earth with Jo, Jeff and the centrifugal acceleration at latitude o. Be careful to identify all dependence on o.] At what latitude is the angle a a maximum and what is its maximum value? Next, derive a formula relating Jeff 2 to go and 6, and use it to prove that Jeff go for any . Find the ratio of the maximum centrifugal acceleration to go. [~ Holton 1.1]