Rotational Velocity Calculator

Ever watched a fan spin and wondered how fast it moves? Or thought about how fast Earth rotates? That’s rotational velocity the speed of something spinning around a point.

Instead of struggling with formulas, you can use our Rotational Velocity Calculator. Just enter the values, hit calculate, and get instant results.

What is Rotational Velocity?

Rotational velocity tells us how fast something spins. It’s different from regular speed because it deals with circular motion. Instead of miles per hour, we measure it in radians per second (rad/s) or revolutions per minute (RPM).

Think of a bike wheel. When you pedal, the wheel spins around its axle. That’s rotational velocity. If you speed up, the wheel rotates faster, increasing its angular velocity.

Here’s the key formula:

ω = θ / t

Where:

• ω = Angular velocity (rad/s)
• θ = Angle rotated (radians)
• t = Time (seconds)

If you need linear speed, use this formula:

v = r × ω

Where:

• v = Linear velocity (m/s)
• r = Radius (m)
• ω = Angular velocity (rad/s)

How to Calculate Rotational Velocity

1. Figure out what you know

• Got angle (θ) and time (t)? Use ω = θ / t.
• Know radius (r) and speed (v)? Use ω = v / r.
• Only have RPM? Convert it: ω = (2π × RPM) / 60.

2. Plug in the numbers

• Like baking a cake follow the recipe, and you’ll get the right result.

3. Calculate

• Let the math do its thing, or let our calculator handle it.

Example: A motor runs at 3000 RPM. What’s the angular velocity?

ω = (2π × 3000) / 60 = 314.16 rad/s

That’s it! Simple, right?

Rotational Velocity Conversion Table

If you don’t want to calculate manually, check this quick reference table:

How to Use the Rotational Velocity Calculator

We made this tool simple. No complicated formulas. Just quick results.

1. Enter known values (radius, RPM, or speed).
2. Click “Calculate” to get instant results.
3. See your answer in rad/s, RPM, or linear speed.

That’s it. No stress. No confusion.

Final Thoughts

Rotational velocity is everywhere. It’s in car engines, amusement park rides, and even planets. Whether you’re a student, engineer, or just curious, knowing how to calculate it can be useful.

And with our Rotational Velocity Calculator, you don’t need to memorize formulas. Just enter your values and get answers instantly. Try it now and see how fast things really spin!

FAQs

How do I convert RPM to angular velocity?

Use ω = (2π × RPM) / 60.

What’s the difference between rotational and angular velocity?

They’re basically the same! Some just use different words.

Can this calculator help with space physics?

Yep! Astronomers use rotational velocity to measure planetary motion.

Why does RPM matter in real life?

It’s key in car engines, wind turbines, and industrial machines.

Any quick trick for estimating rotational velocity?

A rough guide 1000 RPM is about 105 rad/s. Easy to remember!