標題:
apparent weight(lattitude)
發問:
Express the apparent weight of a man standing at latitude theta. (the line joining the man and the center of the earth is at theta to the equator) consider the rotation of the earth
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最佳解答:
With reference to the following diagram: 圖片參考：http://i388.photobucket.com/albums/oo325/loyitak1990/Dec09/Crazygrav4.jpg Note: ω = Angular rotational velocity of the earth = π/43200 rad/s When the force diagram is studied in details: 圖片參考：http://i388.photobucket.com/albums/oo325/loyitak1990/Dec09/Crazygrav5.jpg Since the magnitude of FC is much smaller than that of FG, α is supposed to be very small and so, in finding the magnitude and direction of the apparent weight of the man, FG - FC, we have: 圖片參考：http://i388.photobucket.com/albums/oo325/loyitak1990/Dec09/Crazygrav6.jpg 圖片參考：http://i388.photobucket.com/albums/oo325/loyitak1990/Dec09/Crazygrav7.jpg
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