Physics: 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

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A truck with 28-in.-diameter wheels is traveling

aaaranda0308

05.02.2022

Angular speed = 4525.7 rad/min

Explanation:

Diameter of the wheel (D) = 28 inches

Radius of the wheel (R) = $\frac{28}{2} =14$ 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,

$\frac{60(63360)}{60} =63360$ inches per minute

Angular speed is given by $\frac{v}{R}$

Here, R denotes the radius and denotes the speed.

Put $R=14\,,\,v=63360$

So,

Angular speed = $\frac{63360}{14}=4525.7$ rad/min

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