Let P be a point on the surface of the earth at 45? north la
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Let P be a point on the surface of the earth at 45? north latitude. Use a coordinate system with origin at P and basis v
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Let P be a point on the surface of the earth at 45? north latitude. Use a coordinate system with origin at P and basis vectorsi and j pointing east and north, respectively, so that k points vertically upward. (a) Express the angular velocity of the earth in terms of the basis vectors at P: What is the magnitude of in radians per second? (b) Find the Coriolis acceleration aC D 2 v of an object falling vertically with speed v above P: (c) If the object in (b) drops from rest from a height of 100 m above P; approximately where will it strike the ground? Ignore air resistance but not the Coriolis acceleration. Since the Coriolis acceleration is much smaller than the gravitational acceleration in magnitude, you can use the vertical velocity as a good approximation to the actual velocity of the object at any time during its fall.
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