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Use our Angular Velocity Calculator to find angular speed, rpm, frequency, or linear velocity in seconds. Easy steps, clear formulas, and instant results.
Ever spun a toy top and wondered how fast it turns? That speed is called angular velocity. Our Angular Velocity Calculator helps you measure it quickly. You don’t need to be a physicist. You’ll just enter a few values, and the calculator gives the result with simple steps.
This tool is designed for students, teachers, and curious minds. You can calculate from different inputs like rpm, frequency, radius, time, or linear speed.
Angular velocity tells you how fast something rotates around a center. It’s the rate of change of angle with time. The unit is usually radians per second (rad/s), but you can also see it in degrees per second or revolutions per minute (rpm).
Think of a ceiling fan. Each blade doesn’t move in a straight line. Instead, it spins around the hub. The speed of this spin is its angular velocity.
The main formulas used are:
From angle and time:
ω = θ / t
From frequency:
ω = 2πf
From period:
ω = 2π / T
From linear velocity:
ω = v / r
From centripetal acceleration:
ω = √(ac / r)
Where:
Using the tool is as simple as pie. Here’s how:
Step 1: Choose a method
Pick if you want to calculate from angle, time, frequency, rpm, velocity, or acceleration.
Step 2: Enter your values
Type the numbers in the input box. For example, enter displacement in degrees or revolutions, or speed in m/s.
Step 3: Get results with steps
The calculator converts all units to SI values. It then applies the formula and shows the result in rad/s, degrees/s, and Hz. You’ll also see the calculation steps for learning.
You’ll save time. You won’t have to memorize complex formulas. You’ll also see how the result is built step by step. It’s perfect for homework, class prep, or real-world tasks like engineering, robotics, or even gaming physics.
Angular Velocity to Linear Velocity
Sometimes you want to know the actual speed at the edge of a circle. For that:
v = ω × r
If a wheel spins with ω = 12 rad/s and radius = 0.2 m,
v = 12 × 0.2 = 2.4 m/s.
This means a point on the rim moves 2.4 meters each second.
Our Angular Velocity Calculator is your go-to tool for quick, accurate, and clear results. Whether you’re solving a physics problem, checking motor speed, or just curious about a spinning object, this calculator makes it easy.
It’s measured in rad/s, but you can also use rpm or deg/s.
Yes, it uses ω = 2πf. For rpm, f = rpm/60.
Almost. Angular speed is the magnitude. Angular velocity also has a direction (vector).
Yes, use v = ωr. The tool shows this too.
It’s free, simple, and shows you each step, so you learn as you go.