5. (a) How far must a zonal ring of air initially at rest with respect to the earth's surface at 60⁰ latitude and 100-km height be displaced latitudinally in order to acquire an easterly (east to west) component of 10 m s-¹ with respect to the Earth's surface? (b) To what height must it be displaced vertically in order to acquire the same velocity? [You may assume a frictionless atmosphere, and that the changes in y and z are small. [Holton 4.14] HINTS: Use the equation of motion for du/dt and multiply through by dt; or, using the arguments of HH5 Sec:1.3.3 (or H4 Sec:1.5.3), conserve angular momentum rx mu where m is the (conserved) mass of air in the ring.
5. (a) How far must a zonal ring of air initially at rest with respect to the earth's surface at 60⁰ latitude and 100-km height be displaced latitudinally in order to acquire an easterly (east to west) component of 10 m s-¹ with respect to the Earth's surface? (b) To what height must it be displaced vertically in order to acquire the same velocity? [You may assume a frictionless atmosphere, and that the changes in y and z are small. [Holton 4.14] HINTS: Use the equation of motion for du/dt and multiply through by dt; or, using the arguments of HH5 Sec:1.3.3 (or H4 Sec:1.5.3), conserve angular momentum rx mu where m is the (conserved) mass of air in the ring.
Applications and Investigations in Earth Science (9th Edition)
9th Edition
ISBN:9780134746241
Author:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Publisher:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Chapter1: The Study Of Minerals
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![5. (a) How far must a zonal ring of air initially at rest with respect to the earth's
surface at 60⁰ latitude and 100-km height be displaced latitudinally in order to
acquire an easterly (east to west) component of 10 m s-¹ with respect to the
Earth's surface?
(b) To what height must it be displaced vertically in order to acquire the same
velocity? [You may assume a frictionless atmosphere, and that the changes in
y and z are small. [Holton 4.14]
HINTS: Use the equation of motion for du/dt and multiply through by dt; or, using
the arguments of HH5 Sec:1.3.3 (or H4 Sec:1.5.3), conserve angular momentum
rx mu where m is the (conserved) mass of air in the ring.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffe21c2da-1e2e-4e5d-afbd-94e639579689%2F61d303f0-7bda-4861-a903-ee7fc4cc9597%2Fhwud9ml_processed.png&w=3840&q=75)
Transcribed Image Text:5. (a) How far must a zonal ring of air initially at rest with respect to the earth's
surface at 60⁰ latitude and 100-km height be displaced latitudinally in order to
acquire an easterly (east to west) component of 10 m s-¹ with respect to the
Earth's surface?
(b) To what height must it be displaced vertically in order to acquire the same
velocity? [You may assume a frictionless atmosphere, and that the changes in
y and z are small. [Holton 4.14]
HINTS: Use the equation of motion for du/dt and multiply through by dt; or, using
the arguments of HH5 Sec:1.3.3 (or H4 Sec:1.5.3), conserve angular momentum
rx mu where m is the (conserved) mass of air in the ring.
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