# trigonometry

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A truck with 48-in.-diameter wheels is traveling at 55 mi/h.

Find the angular speed of the wheels in rad/min, *hint convert miles to inches & hours to minutes: __rad/min

How many revolutions per minute do the wheels make?__ rpm

• trigonometry -

radius of wheel = 24 inches
one rotation = 2π(24) = 48π inches

in 1 hour it goes 55 miles
= 55x5280x12 inches
= 3484800 inches

number of rotations per hour
= 3484800/(48π) = 23109.29774 rotations per hour
= 385.155 rpm

check my arithmetic

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