Question 1045458
A truck with 30inch diameter wheels is traveling at 55mi/h. Find the angular speed of the wheels in radians per minute?  And how many revolutions per minute do the wheels make? 



convert {{{55}}} miles per hour into in/min
the wheel is rotating {{{55*5280*12/(60)}}}={{{58080}}} in/min


{{{C}}}={{{d*pi}}}
{{{C}}}={{{30*pi}}} inches
   So, there are {{{30*pi}}} inches per revolution of the wheel.


{{{58080}}}={{{30*pi}}}
(in/min)/(inc/rev)=rev/min
{{{58080/(30*pi)}}}={{{1936/(pi)}}} rev/min 

angular speed
(x*rev/min)*(rad/rev)=(rad/min)


{{{2pi/(1)}}}*{{{1936/(pi)}}}={{{3872}}} rad/min first part answer