Pendulum Velocity Calculator

Ever watched a pendulum swing back and forth? It looks simple, but the motion hides some neat physics. To understand how fast a pendulum moves at any point, you need its velocity. That’s where our Pendulum Velocity Calculator comes in.

We built this tool so you don’t have to deal with long equations or confusing math steps. Just enter the length, angle, gravity, and time. You’ll get the velocity in seconds, along with clear steps that explain how the math works.

What is Pendulum Velocity?

Pendulum velocity is the speed of the pendulum’s swing at a given point in time. Imagine you’re pushing a child on a swing. At the highest point, the swing slows down. At the lowest point, it moves fastest. The same happens with a pendulum.

This velocity is called the instantaneous tangential velocity. It tells you how quickly the pendulum moves at any given angle or moment.

Pendulum Velocity Formula

The formula used is simple:

V = a × √(L × g) × sin(√(g/L) × t)

Where:

• V = velocity of pendulum (m/s)
• a = angle of swing (radians)
• L = length of pendulum (m)
• g = acceleration due to gravity (9.81 m/s²)
• t = time (s)

This equation may look tricky, but our calculator handles it for you.

How to Use the Pendulum Velocity Calculator

Using the calculator is as easy as pie. Here’s how:

1. Enter the length of the pendulum in meters, feet, or other units.
2. Enter the swing angle (degrees or radians).
3. Add the time in seconds, minutes, or milliseconds.
4. Choose the gravity value (default is Earth’s 9.81 m/s²).
5. Hit the calculate button.

You’ll instantly see the result, plus each step explained in plain English.

Example Calculation

Let’s say:

• Length (L) = 4 m
• Angle (a) = 0.35 radians
• Time (t) = 3 s

Now, plug into the formula:

V = 0.35 × √(4 × 9.81) × sin(√(9.81/4) × 3)

V = 2.19 m/s

So, the pendulum moves at 2.19 meters per second after 3 seconds.

Why Use Our Pendulum Velocity Calculator?

You could crunch the numbers yourself, but why bother? Our tool saves time and gives a clear path from input to output. It’s perfect for students, teachers, and anyone curious about physics.

Think of it like having a smart math tutor at your fingertips.

Final Verdict

The Pendulum Velocity Calculator takes a complex formula and turns it into a simple, step-by-step solution. Whether you’re learning physics or just exploring the swing of a pendulum, this tool makes life easier.

FAQs

What units can I use in the calculator?

You can use meters, centimeters, feet, or inches for length. You can also choose radians or degrees for the angle, and seconds, minutes, or milliseconds for time.

Does this work only for Earth?

No, you can set gravity for any planet. For example, try 1.62 m/s² for the Moon.

Can I use it for small and large angles?

Yes, but it’s most accurate for small angles. At larger swings, the motion becomes more complex.

Is the calculator free?

Yes, it’s 100% free and available online anytime.