Solved: Linear vs. Angular Speed A wheel of radius 30 centimeters revolves at a rate of
Chapter 3, Problem 41(choose chapter or problem)
Linear vs. Angular Speed A wheel of radius 30 centimeters revolves at a rate of 10 revolutions per second. A dot is painted at a point P on the rim of the wheel (see figure).
(a) Find \(d x / d t\) as a function of \(/theta\)
(b) Use a graphing utility to graph the function in part (a).
(c) When is the absolute value of the rate of change x of greatest? When is it least?
(d) Find \(d x / d t\) when \(\theta=30^{\circ} \text { and } \theta=60^{\circ}\).
Text Transcription:
dx/dt
theta
theta=30^circ and theta=60^circ
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