Consider a tall building located on the Earth's equator. As the Earth rotates, a person on the top floor of the building moves faster than someone on the ground with respect to an inertial reference frame because the person on the ground is closer to the Earth's axis. Consequently, if an object is dropped from the top floor to the ground a distance h below, it lands east of the point vertically below where it was dropped. (a) How far to the east will the object land? Express your answer in terms of h, g, and the angular speed w of the Earth. Ignore air resistance and assume the free-fall acceleration is constant over this range of heights. Ax = (b) Evaluate the eastward displacement (in cm) for h = 52.0 m. cm (c) In your judgment, were we justified in ignoring this aspect of the Coriolis effect in our previous study of free fall? O Yes O No (d) Suppose the angular speed of the Earth were to decrease with constant angular acceleration due to tidal friction. Would the eastward displacement of the dropped object increase or decrease compared with that in part (b)? O increase O decrease
Consider a tall building located on the Earth's equator. As the Earth rotates, a person on the top floor of the building moves faster than someone on the ground with respect to an inertial reference frame because the person on the ground is closer to the Earth's axis. Consequently, if an object is dropped from the top floor to the ground a distance h below, it lands east of the point vertically below where it was dropped. (a) How far to the east will the object land? Express your answer in terms of h, g, and the angular speed w of the Earth. Ignore air resistance and assume the free-fall acceleration is constant over this range of heights. Ax = (b) Evaluate the eastward displacement (in cm) for h = 52.0 m. cm (c) In your judgment, were we justified in ignoring this aspect of the Coriolis effect in our previous study of free fall? O Yes O No (d) Suppose the angular speed of the Earth were to decrease with constant angular acceleration due to tidal friction. Would the eastward displacement of the dropped object increase or decrease compared with that in part (b)? O increase O decrease
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter5: Trigonometric Functions: Right Triangle Approach
Section5.1: Angle Measure
Problem 4E: Object A is travelling along a circle of radius 2, and Object B is travelling along a circle of...
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