Question:medium

The unit of angular velocity is: ____.

Show Hint

To convert from RPM ($N$) to rad/s ($\omega$), use the formula: $\omega = \frac{2\pi N}{60}$. This is a very common calculation in mechanical and electrical engineering.
Updated On: Jul 14, 2026
  • m min
  • rad s
  • revolutions min
  • all of these
Show Solution

The Correct Option is D

Solution and Explanation

Angular velocity always comes down to one idea, how much angle is swept out for every unit of time, so any valid unit for it must combine an angle measure with a time measure.

The SI choice for angle is the radian, and pairing it with seconds gives rad/s, the standard scientific unit used in physics formulas involving angular velocity.

In everyday engineering, angle is often counted in whole revolutions instead of radians, and time in minutes instead of seconds, producing revolutions per minute (RPM), a unit seen constantly on motor and engine nameplates. Since 1 revolution equals \( 2\pi \) radians, RPM converts to rad/s through a simple constant factor, \( \dfrac{2\pi}{60} \), showing both measure the exact same physical quantity, just scaled differently.

A pure distance unit like meters per minute, by contrast, only makes sense for describing linear motion along a path, since it carries no information about angle at all.

Given that this question groups together the valid angular-rate units in both their scientific and practical forms, the encompassing choice is the intended answer.

So the correct answer is all of these.
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