Question

A wheel makes 180 revolutions per minute through how many radians does it turn in one second

Answer 1

180 revolutions in minute.
so in one second number of revolutions = 180/60
                                                                = 3

Answer 2

Given that Number of revolutions per minute = 180
          
                               Then per second it will be = 180/60
 
                                                                            = 3.

We know that In one complete revolution, the wheel turns at an angle of 2pi rad.

Then for 3 complete revolutions it will take 3 * 2pi = 6pi radians.