A slender rod through the origin of the polar coordinate plane rotates (in the plane) about the origin at the rate of 3 rad /min. Abeetle starting from the point (2, 0) crawls along the rod towardthe origin at the rate of 1 in.>min.a. Find the beetle’s acceleration and velocity in polar form whenit is halfway to (1 in. from) the origin.b. To the nearest tenth of an inch, what will be the length of thepath the beetle has traveled by the time it reaches the origin?

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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A slender rod through the origin of the polar coordinate plane rotates (in the plane) about the origin at the rate of 3 rad /min. A
beetle starting from the point (2, 0) crawls along the rod toward
the origin at the rate of 1 in.>min.
a. Find the beetle’s acceleration and velocity in polar form when
it is halfway to (1 in. from) the origin.
b. To the nearest tenth of an inch, what will be the length of the
path the beetle has traveled by the time it reaches the origin?

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