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Instantly calculate centripetal acceleration online. Fast, accurate, and easy physics calculator with step-by-step results and clear formulas for students.
Ever watched a car take a sharp turn and wondered why it doesn’t fly off the road? That’s centripetal acceleration at work. It’s the invisible push that keeps objects moving in circles instead of flying straight.
Our Centripetal Acceleration Calculator helps you find that force in seconds. You’ll only need a few simple inputs speed, radius, or rotation rate and the calculator does all the hard math. Whether you’re a student, a physics teacher, or just curious, this tool turns complex circular motion into an easy concept you can see and understand.
Centripetal acceleration is the rate at which an object changes direction while moving along a circular path. Even if the speed stays the same, the direction changes constantly. That change is acceleration.
In simple words, it’s the “center-seeking” force that pulls an object toward the middle of the circle. Without it, the object would move off in a straight line just like a stone flying from a spinning rope when you let go.
Centripetal acceleration is calculated using one of these formulas depending on what you know:
Here,
aₐ = centripetal acceleration (m/s²)
v = linear velocity (m/s)
r = radius (m)
ω = angular velocity (rad/s)
T = period (s)
f = frequency (Hz)
Step 1: Choose a Method
Select how you want to calculate: by velocity, angular velocity, period, or frequency.
Step 2: Enter Your Values
Type in your known values, like speed and radius. You can use different units such as meters, kilometers, or feet the calculator converts them automatically.
Step 3: Get Instant Results
Once you hit “Calculate,” the tool displays:
It’s clear, accurate, and beginner-friendly.
Let’s say a car moves at 20 m/s around a circular track of radius 50 m.
Using the formula:
aₐ = v² / r
aₐ = (20)² / 50
aₐ = 400 / 50 = 8 m/s²
That means the car needs an inward acceleration of 8 meters per second squared to stay on its curved path.
This tool helps students grasp real-world motion. It’s perfect for classroom demos, homework, or quick checks. You can visualize forces acting on moving objects like a spinning fan blade, a planet in orbit, or a roller coaster loop.
We built this calculator to make physics practical. It’s not just about numbers it’s about seeing how motion works around you every day.
Centripetal acceleration sounds complicated, but it’s really about understanding how motion bends. With this calculator, you can learn and calculate at the same time. Enter your data, and you’ll instantly see how physics keeps everything in motion circles, orbits, and turns included.
It uses standard SI units meters, seconds, and radians. But you can also input values in km/h, rpm, or feet.
Centripetal force pulls toward the center. Centrifugal force seems to push outward but is just inertia in action.
Yes! This calculator is great for labs, classroom lessons, or engineering tasks.
Yes. The faster an object moves, the greater the acceleration needed to keep it turning.