Asked • 04/30/20

Precalc Question

Suppose Randall’s horse Ginger is walking around a circular track of radius 120 feet with an angular speed of 3 RPM clockwise. If she starts at the westernmost point of the track, give the coordinate of Ginger’s location after 7 seconds. Please round your answer to the nearest thousandth. 

1 Expert Answer

By:

Ashy A.

I am still confused... If it takes 20 seconds for the horse to make a revolution, 10 seconds to make half a revolution, and 5 seconds to make 1/4 of a revolution, wouldn't the horse be in the first quadrant?
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05/08/20

Timothy D.

tutor
You're actually correct. Come to think of it, the horse travels at 3 rpm. Divide by 60 s you get 5 revolutions for every 100 seconds, or 5 rev/100 s. If you multiply that by 7 seconds, you get 0.35 revolutions completed. 0.35 revolutions from the second quadrant is actually the first quadrant, you're correct. Having said that, I did not take into account that you multiple what's in the parenthesis of cos() and sin() by 2*pi to get omega or units of RADIANS. All they gave you was the frequency, not the angular frequency, so you should actually get 70.53 for your x-coordinate and 97.1 for your y-coordinate.
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05/08/20

Timothy D.

tutor
Does that answer your question?
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05/08/20

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