OpenStudy (anonymous):

Linear Speed and Angular Speed!!! Please help, I don't understand the problem. *A wheel of radius 30 cm revolves at a rate of 10 revolutions per second. A dot is painted at a point P on the rim of the wheel. a.) Find dx/dt as a function of theta b.) When is the absolute value of the rate of change of x the greatest? Least?

3 years ago
OpenStudy (phi):

how about using \[ x = r \ \cos \theta\] with r= 30 take the derivative with respect to time "t" of both sides.

3 years ago
OpenStudy (anonymous):

how does it become x=r cosθ ?

3 years ago
OpenStudy (phi):

If the wheel is fixed, and spinning, and we measure the angle from the positive x-axis, then by geometry, x (horizontal distance from the center) is r cos theta or is this wheel moving along a road ?

3 years ago
OpenStudy (phi):

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3 years ago