Problem 9: A particle released from rest from the top A of a tower of heighth will appear not to fall straight down because of the Earth's rotation. It may be shown that the object has an eastward horizontal acceleration relative to the horizontal surface of the Earth equal to 2v, w cosy, where vy, is the free-fall downward velocity, w is the angular velocity of the Earth, and y is the latitude. Determine the deflection b if h = 1000 ft and y = 30°. The angular velocity of the Earth is w= 0.7292 x 10-4 rad/s and g = 32.2 ft/s². Ans: b = 0.332 ft East
Problem 9: A particle released from rest from the top A of a tower of heighth will appear not to fall straight down because of the Earth's rotation. It may be shown that the object has an eastward horizontal acceleration relative to the horizontal surface of the Earth equal to 2v, w cosy, where vy, is the free-fall downward velocity, w is the angular velocity of the Earth, and y is the latitude. Determine the deflection b if h = 1000 ft and y = 30°. The angular velocity of the Earth is w= 0.7292 x 10-4 rad/s and g = 32.2 ft/s². Ans: b = 0.332 ft East
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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
Transcribed Image Text:Problem 9: A particle released from rest from the top A of a tower of
heighth will appear not to fall straight down because of the Earth's
rotation. It may be shown that the object has an eastward horizontal
acceleration relative to the horizontal surface of the Earth equal to
2v,w cosy, where vy is the free-fall downward velocity, w is the angular
velocity of the Earth, and y is the latitude. Determine the deflection b if
h = 1000 ft and y = 30°. The angular velocity of the Earth is w =
0.7292 x 10-4 rad/s and g = 32.2 ft/s². Ans: b = 0.332 ft
East
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