An airplane is flying in still air with an airspeed of 275 miles per hour. If it is
Chapter 2, Problem 46(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 dx/dt 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 of x greatest? When is it least?
(d) Find dx/dt when \(\theta=30^{\circ}\) and \(\theta=60^{\circ}\).
Text Transcription:
theta
theta=30 degrees
theta=60 degrees
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