Confirmation for the equation of apparent rotation angle θ of the plane in a single day at the poles and at the equator.

Question

Two toy racecars race along a circular race track. Both cars start at the 3-o'clock position and travel in the CCW direction. Let t represent the number of seconds since the start of the race. Imagine angles with terminal rays that pass through each car as it moves. Car A is constantly 4.5 feet from the center of the race track and travels a constant speed. The angle with a terminal ray passing through Car A sweeps out 2.5 radians per second. Write an expression (in terms of t) that represents Car A's vertical distance above the center of the race track in feet.

Answer 1

Question

Chapter 7, Problem 50PQ

(a)

To determine

Confirmation for the equation of apparent rotation angle θ of the plane in a single day at the poles and at the equator.

(b)

To determine

The value of θ for pendulum in Paris.

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Two toy racecars race along a circular race track. Both cars start at the 3-o'clock position and travel in the CCW direction. Let t represent the number of seconds since the start of the race. Imagine angles with terminal rays that pass through each car as it moves. Car A is constantly 4.5 feet from the center of the race track and travels a constant speed. The angle with a terminal ray passing through Car A sweeps out 2.5 radians per second. Write an expression (in terms of t) that represents Car A's vertical distance above the center of the race track in feet.

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