Question 1203363
.
A truck with 48-in.-diameter wheels is traveling at 50 mi/h.
a.) Find the angular speed of the wheels in rad/min, *hint convert miles to inches & hours to minutes:
b.) How many revolutions per minute do the wheels make?
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<pre>
1 mile = 5280 feet = 5280*12 inches = 63360 inches.


The wheel circumference is {{{pi*48}}} inches = 3.14159265*48 inches = 150.7964472 inches.


The number of revolutions of the wheel per minute is  rpm = {{{(((63360*50)/60))/150.7964472}}} = 350.1408752.


The angular velocity = {{{2*pi*rpm}}} = {{{2*3.14159265*350.1408752}}} = 2200 radians per minute.
</pre>

Solved.


The formulas are self-explanatory.


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