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Easily calculate pendulum force with our online Pendulum Force Calculator. Get accurate results for mass, angle, and more.
A pendulum swings, and in doing so, it feels forces acting on it. The Pendulum Force is the pull of gravity on the pendulum. It's the force that causes it to move back and forth. You might have seen this in action at a clock or a science demonstration. But did you know you can easily calculate this force?
we’ll explain how our Pendulum Force Calculator works, step by step. You’ll also learn some useful formulas and how you can apply them to better understand pendulums and their movement.
At its core, the force on a pendulum is created by gravity. Gravity pulls down on the pendulum bob, causing it to swing. The force is strongest when the pendulum is at its highest point.
We can calculate this force with a simple formula:
F = m × g × sin(θ)
Here’s what the formula means:
This formula helps you figure out the force acting on the pendulum. Our Pendulum Force Calculator does all the math for you!
Using our Pendulum Force Calculator is simple. Just follow these steps:
It’s that easy!
When a pendulum swings, it’s not just about force. The pendulum also has kinetic energy. Kinetic energy is the energy it has while it’s moving.
We can calculate this energy with the formula:
KE = 1/2 × m × v²
Where:
At the lowest point in its swing, the pendulum’s speed is highest, and that’s when it has the most kinetic energy.
The period is the time it takes for the pendulum to complete one full swing (back and forth). The formula to calculate the period is:
T = 2π × √(L / g)
Where:
A longer pendulum has a longer period. This means it takes more time to swing back and forth.
Frequency is the opposite of period. It tells you how many times the pendulum swings per second. The formula to find the frequency is:
f = 1 / T
Where:
If the period is long, the frequency will be low. If the period is short, the frequency will be high.
Sometimes you know the frequency, but you need to find the length of the pendulum. In that case, use this formula:
L = g / (2π × f)²
Where:
Now, you can calculate the length if you know how often the pendulum swings!
A conical pendulum is different. Instead of swinging back and forth in a straight line, it moves in a circle. The forces here are a bit more complicated, but you can still calculate the force using similar principles.
At the lowest point of the pendulum's swing, it’s moving at its fastest speed. To calculate this speed, we use the formula:
v = √(2 × g × h)
Where:
This is the moment when the pendulum has the most energy, and it's moving the fastest!
The Pendulum Force Calculator is a great tool to help you understand the forces acting on a pendulum. Whether you're learning about pendulums for school or conducting experiments, this calculator makes it easy to get quick, accurate results.
With the related formulas for kinetic energy, period, frequency, and more, you can dive deeper into pendulum physics. Best of all, you don’t need to worry about complicated math just use the calculator and get the answers you need!
Just enter the mass, angle, and gravity values into the calculator and hit "Calculate." It will give you the force right away.
The period is the time it takes for the pendulum to complete one full swing. Use the formula T = 2π × √(L / g) to calculate it.
Yes, but the forces are different, so you’ll need to adjust your calculations for a conical pendulum.
It uses standard physics formulas, so the results are accurate for typical pendulum experiments.