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Tangential Velocity Calculator

Easily calculate tangential velocity with our online Tangential Velocity Calculator. Learn the formula, steps, and examples with simple explanations.

Vt = ω × r
Where Vt is tangential velocity, ω is angular velocity, and r is radius
Select appropriate unit for angular velocity
Select appropriate unit for radius

Ever wondered how fast something spins at the edge of a circle? That’s what tangential velocity tells us. It measures the speed of an object moving along a circular path. Our Tangential Velocity Calculator makes this simple math task even easier.

Instead of doing long steps by hand, you just enter values. In seconds, you’ll get the answer with clear steps.

What is Tangential Velocity?

Tangential velocity is the speed of a point moving around a circle. Think of a ball tied to a string. When you swing it, the ball moves in a circle. The faster you swing, or the longer the string, the greater the tangential velocity.

In simple words: it’s the straight-line speed at the edge of a spinning object.

Formula for Tangential Velocity

The standard formula is:

Vt = w × r

Where:

  • Vt is tangential velocity (m/s)
  • w is angular velocity (rad/s)
  • r is the radius of rotation (m)

Another way to express it is with the circular path:

Vt = 2πr / t

Here, t is the time for one full rotation. Both formulas give the same result depending on what you know.

For normal velocity in linear motion, the formula is:

V = d / t

But for circular motion, we use tangential velocity.

How to Calculate Tangential Velocity

Let’s see a simple example.

Say the angular velocity is 5 rad/s. The radius is 7 m.

Now apply the formula:

Vt = w × r

Vt = 5 × 7

Vt = 35 m/s

So, the object moves at 35 meters per second at the edge of the circle.

How to Use Our Tangential Velocity Calculator

Our calculator saves you time. You’ll only need two inputs: angular velocity and radius. You can also pick units like meters, feet, or inches.

Step 1: Enter the angular velocity in your chosen unit.

Step 2: Enter the radius in any unit you prefer.

Step 3: Hit calculate.

You’ll see the tangential velocity result in the same unit system. The calculator also shows step-by-step working so you understand the process.

Why This Calculator Helps

Many students and engineers need to check tangential velocity in their work. Doing the math by hand can be slow. Mistakes happen easily when converting units.

Our Tangential Velocity Calculator makes sure you get correct answers every time. It’s quick, simple, and reliable.

Final Verdict

Tangential velocity is a simple but powerful concept in physics. With our Tangential Velocity Calculator, you won’t waste time on manual math. Just enter the values, and you’ll see clear, step-by-step results.

Whether you’re a student, teacher, or professional, this tool will make your life easier. Try it today and speed up your learning.

FAQs

What is tangential velocity in rotation?

It’s the speed of a point moving along the outer edge of a rotating object.

What’s the formula for tangential velocity?

The formula is Vt = w × r. Here, w is angular velocity and r is the radius.

Can I use 2πr / t for tangential velocity?

Yes, if you know the time for one rotation, you can use Vt = 2πr / t.

What’s the difference between tangential and normal velocity?

Normal velocity is for straight-line motion. Tangential velocity is for circular motion.