a. Write a formula that expresses the r-coordinate of the point in terms of t. (Hint: Start by exp Preview b. How long does it take the point to complete one full lap around the circular path? (Hint: The to complete one full lap, and the angle sweeps out 8 radians per second.) seconds Preview

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter3: Radian Measure
Section3.5: Velocities
Problem 61PS: A gear train consists of three gears meshed together (Figure 9). The middle gear is known as an...
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(0, 0). The point moves at a
A point starts at the location (r, y) = (5, 0) and moves CCW along a circular path that is centered at (x, y)
constant speed. Imagine an angle with a vertex at (0,0) subtending the object's path. The angle sweeps out 8 radians per second, and let t
represent the varying number of seconds that have elapsed since the point started moving. (Draw a diagram to represent this!)
a. Write a formula that expresses the x-coordinate of the point in terms of t. (Hint: Start by expressing the angle measure, 0, in terms of t.)
Preview
b. How long does it take the point to complete one full lap around the circular path? (Hint: The angle must sweep out 27 radians for the point
to complete one full lap, and the angle sweeps out 8 radians per second.)
seconds
Preview
Transcribed Image Text:(0, 0). The point moves at a A point starts at the location (r, y) = (5, 0) and moves CCW along a circular path that is centered at (x, y) constant speed. Imagine an angle with a vertex at (0,0) subtending the object's path. The angle sweeps out 8 radians per second, and let t represent the varying number of seconds that have elapsed since the point started moving. (Draw a diagram to represent this!) a. Write a formula that expresses the x-coordinate of the point in terms of t. (Hint: Start by expressing the angle measure, 0, in terms of t.) Preview b. How long does it take the point to complete one full lap around the circular path? (Hint: The angle must sweep out 27 radians for the point to complete one full lap, and the angle sweeps out 8 radians per second.) seconds Preview
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