- #1
nns91
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Homework Statement
A slender rod through the origin of the polar plane rotates about the origin at the rate of 3 rad/min. A beetle starting from the point (2,) crawls along the rod toward the origin at the rate of 1 in/min. The axes are marked in inches
a. Find the beetle's acceleration and velocity in polar form when it is halfway to (1 inch from) the origin.
b.To the nearest thousandth of an inch, what will be the length of the path the beetle has traveled by the time it reaches the origin.
Homework Equations
acceleration, velocity, arc length
The Attempt at a Solution
Can anyone hint me how to do this problem ?
For part b, I guess I just take the integral of speed from 0 to t in which t is the time the beetle needs to reach the origin ??