Difference between rotational and angular velocity

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SUMMARY

The discussion clarifies the distinction between rotational velocity and angular velocity. Angular velocity is defined as the rate of change of angle over time, measured in radians per second, while rotational velocity can refer to either the number of revolutions per unit time or the linear velocity of a point on the circumference of a circle. Specifically, if angular velocity is denoted as ω (w), then rotational velocity can be expressed as ω/(2π) revolutions per second or (ω/π)r for linear velocity, where r is the radius. This differentiation is crucial for understanding motion in circular paths.

PREREQUISITES
  • Understanding of angular measurements in radians
  • Basic knowledge of circular motion concepts
  • Familiarity with the relationship between linear and angular velocity
  • Knowledge of mathematical expressions involving π (pi)
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Students of physics, engineers working with rotational systems, and anyone interested in the principles of motion and mechanics will benefit from this discussion.

gio
Can anyone tell me the difference between "rotational velocity" and "angular velocity"?

I got that angular velocity is the dimension of angle/time, but rotational velocity is the dimension of rotations/time.

Will appreciate it if you can also provide me with some references defining the difference.

Thank you in advance for your help.
 
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Quite frankly, I don't recall seeing "rotational velocity".

I could see it as having either of two meanings:
number of revolutions per unit time- if angular velocity is w radians per second, then (since there are 2pi radians in a circle) the "rotational velocity" would be w/(2pi) revolutions per second.

The other possibility is the linear velocity of a point on the circumference of the circle. Since an angle theta in a circle of radius r subtends an arc of length (theta/pi) r, the "rotational velocity" would be (w/pi) r.
 

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