Question

A rotating wheel has angular speed f₀ rpm. What is the angular speed in radian per second?
1. 2πf0
2. πf0
3. ​2πf0/60
4. πf0/60

Answer 1

Correct Answer - Option 3 : ​2πf0/60

CONCEPT:

• Angular velocity (ω): How fast the angular position or orientation of an object changes with time or How fast an object rotates or revolves relative to another point is known as angular velocity.
  • Angular velocity in terms of RPM (revolutions per minute) 

ω = 2πf/60

where ω is in terms of radian per second and f is in revolution per minute.​

EXPLANATION:

Given that f0 is the angular speed in rpm.

Angular speed in radian per minute.

ω0 = 2 π f0

Angular speed in radian per second.

ω0 = 2 π f0 / 60

So the correct answer is option 3.