SOLUTION: The engine of a sports car rotates at 5,000 revolutions per minute (rpm). Calculate the angular speed of the engine in radians per second. Use 2(pi) radians = 1 revolution

Algebra ->  Trigonometry-basics -> SOLUTION: The engine of a sports car rotates at 5,000 revolutions per minute (rpm). Calculate the angular speed of the engine in radians per second. Use 2(pi) radians = 1 revolution      Log On


   



Question 330722: The engine of a sports car rotates at 5,000 revolutions per minute (rpm). Calculate the angular speed of the engine in radians per second. Use 2(pi) radians = 1 revolution
Answer by jrfrunner(365) About Me  (Show Source):
You can put this solution on YOUR website!
you want to change rev/min to radians/sec
You are given
5000 rev/min
so you need to multiply by factors that cancel the units in such a way to end up with radians/sec
5000 rev/min * (2*pi radians/rev)*(1 min/60 sec) = 5000*2*Pi/60 rev/rev*min/min*radians/sec =5000*2*Pi/60 radians/sec
as you can see the units cancel out leaving radians/sec which is what you want.