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A truck with 28-in.-diameter wheels is traveling at 60 mi/h. Find the angular speed of the wheels in rad/min, *hint convert miles to inches

Answer :

Answer:

Angular speed = [tex]4525.7[/tex] rad/min

Explanation:

Diameter of the wheel (D) = 28 inches

Radius of the wheel (R) = [tex]\frac{28}{2} =14[/tex] inches

Speed of wheels of a truck = 60 mi/h.

First convert 60 mi/h to inches per minute

1 mile = 63360 inches

1 hour = 60 minutes

So,

[tex]\frac{60(63360)}{60} =63360[/tex]  inches per minute

Angular speed is given by [tex]\frac{v}{R}[/tex]

Here, R denotes the radius and [tex]v[/tex] denotes the speed.

Put [tex]R=14\,,\,v=63360[/tex]

So,

Angular speed = [tex]\frac{63360}{14}=4525.7[/tex] rad/min

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