Express the angular velocity of 36 rpm (revolutions per minute) in units of radians per second (rad/s).
2PI rad=i rev
36rev/min(1min/60sec)(2PI rad/rev)
To express the angular velocity of 36 rpm in units of radians per second, you need to convert from revolutions per minute to radians per second.
First, let's convert 36 rpm to revolutions per second. Since there are 60 seconds in a minute, we can divide 36 rpm by 60 to get the angular velocity in revolutions per second:
36 rpm / 60 = 0.6 revolutions per second.
Next, we know that 1 revolution is equal to 2π radians. Therefore, we can multiply the angular velocity in revolutions per second by 2π to get the angular velocity in radians per second:
0.6 revolutions per second * 2π radians per revolution = 1.2π radians per second.
So, the angular velocity of 36 rpm is 1.2π radians per second (rad/s).