Answer:
a) 9676.1053731 rad/min
b) 1540 rpm
Explanation:
A truck with 30-inch diameter wheels is traveling at 70 mi/h. Find the angular speed of the wheels in radians per minute. ___ radians per minute How many revolutions per minute do the wheels make? (Round your answer to three decimal places.) ____ revolutions per minute
truck with 30-in.-diameter wheels is traveling at 70 mi/h.
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1 mile per hour = 88 feet per minute
70 mi/hr = 6160ft/minute
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Each revolution = pi*d feet = 4pi feet
(b) How many revolutions per minute do the wheels make?
rev/min
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Each revolution = pi*d feet = 4pi feet
rpm = 6160 ft/min / 4pi feet = 990/pi rpm
=~ 1540 rpm
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(a) Find the angular speed of the wheels in rad/min.
rad/min
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rad/min = rpm*2*pi
= 1540 rpm × 2× π
= 9676.1053731 rad/min