SOLUTION: A truck with 54-in.-diameter wheels is traveling at 45 mi/h. (a) Find the angular speed of the wheels in rad/min (b) How many revolutions per minute do the wheels make?

Algebra ->  Trigonometry-basics -> SOLUTION: A truck with 54-in.-diameter wheels is traveling at 45 mi/h. (a) Find the angular speed of the wheels in rad/min (b) How many revolutions per minute do the wheels make?       Log On


   



Question 1014070: A truck with 54-in.-diameter wheels is traveling at 45 mi/h.
(a) Find the angular speed of the wheels in rad/min
(b) How many revolutions per minute do the wheels make?

Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
- 45 mi / h * 5280 ft / mi * 12 in / ft * 1 hr / 60 min = the speed in inches / minute.
- The wheel has a circumference of 54 * pi inches.
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(b) (speed in inches / minute) * (1 revolution / 54 * pi inches) = revolution / minute
(a) revolutions / minute * 2pi radians / revolution = angular speed in radians / minute.
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Use your calculator
J