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.Com
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)   (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.
------------------------------------------------------------
(b) (speed in inches / minute) * (1 revolution / 54 * pi inches) = revolution / minute
(a) revolutions / minute * 2pi radians / revolution = angular speed in radians / minute.
------------------------------------------------------------
Use your calculator
J

RELATED QUESTIONS

A truck with 48-in.-diameter wheels is traveling at 45 mi/h. (a) Find the angular speed... (answered by Alan3354)
A truck with 28-in.-diameter wheels is traveling at 60 mi/h. Find the angular speed of (answered by josmiceli)
A truck with 22-in.-diameter wheels is traveling at 50 mi/h. 1.Find the angular speed... (answered by Alan3354)
A truck with 48-in.-diameter wheels is traveling at 50 mi/h. Find the angular speed of (answered by ikleyn)
A truck with 18-in.-diameter wheels is traveling at 45 mi/h. (a) Find the angular speed (answered by Alan3354)
A truck with 20-in.-diameter wheels is traveling at 55 mi/h. Find the angular speed of (answered by FrankM)
A truck with 48-in.-diameter wheels is traveling at 50 mi/h. a.) Find the angular... (answered by ikleyn,math_tutor2020)
A truck with 42-in.-diameter wheels is traveling at 55 mi/h. Find the angular speed of (answered by josmiceli)
A truck with 54-in.-diameter wheels is traveling at 45 mi/h. How many revolutions per... (answered by rothauserc)