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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 o. [Draw a labelled diagram showing the Earth with go, Jeff and the centrifugal acceleration at latitude ø. 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 , and use it to prove that Jeff≈ go for any o. centrifugal acceleration to go. [~ Holton 1.1] Find the ratio of the maximum

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 o. [Draw a labelled diagram showing the Earth with go, Jeff and the centrifugal acceleration at latitude ø. 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 , and use it to prove that Jeff≈ go for any o. centrifugal acceleration to go. [~ Holton 1.1] Find the ratio of the maximum

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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 o. [Draw a labelled diagram showing the Earth with go, Jeff and the centrifugal acceleration at latitude ø. 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 , and use it to prove that ef≈ go for any o. Find the ratio of the maximum centrifugal acceleration to go. [~ Holton 1.1]
Transcribed Image Text: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 o. [Draw a labelled diagram showing the Earth with go, Jeff and the centrifugal acceleration at latitude ø. 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 , and use it to prove that ef≈ go for any o. Find the ratio of the maximum centrifugal acceleration to go. [~ Holton 1.1]
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