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]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe4daed2b-731c-44c3-83ea-6285a408492c%2Fa781ad3d-ec0d-4218-97c1-e4c89cba7080%2Fdlsgywf8_processed.png&w=3840&q=75)
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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