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Angular Velocity Calculator

Convert RPM, rad/s, Hz and period, or derive ω from a linear speed and radius — with tangential speed and centripetal acceleration.

Related tools

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Velocity CalculatorFind velocity, distance, time, relative or angular-to-linear speed — five modes, any units.Escape velocity calculatorCompute the escape velocity of a body from its mass and radius.Orbital velocity calculatorCompute the circular orbital velocity around a body from its mass and orbit radius.Coulomb's Law CalculatorSolve F = kq₁q₂/εᵣr² for the force, either charge or the distance, in any of 18 dielectric media, with charges in C, µC, nC or elementary charges, plus the potential energy and the field at q₂.de Broglie Wavelength CalculatorCompute λ = h/p for an electron, proton, neutron, alpha particle, C₆₀ or any mass, from a velocity or a kinetic energy, using the relativistic momentum p = γmv.Decibel (dB) CalculatorConvert power and voltage ratios to decibels and back, and switch between dBm, dBW, watts and milliwatts.Doppler Effect CalculatorWork out the perceived frequency for a moving source or observer, classically f' = f(v ± v_o)/(v ∓ v_s) with real sound speeds, or relativistically for light — supersonic sources flagged.Kinematics CalculatorEnter any 3 of initial/final velocity, acceleration, time and displacement — the SUVAT equations solve the rest.

Angular Velocity Calculator is free to use as often as you like, directly from this page. Its place is under Physics; Velocity Calculator and Escape velocity calculator answer the questions closest to this one.

How to use it

  1. Open the tool — no signup or install needed.
  2. Enter your input or adjust the available options.
  3. Get your result instantly, then copy or download it.

Frequently asked questions

What does Angular Velocity Calculator do?

Convert RPM, rad/s, Hz and period, or derive ω from a linear speed and radius — with tangential speed and centripetal acceleration.

When would I actually use this?

Checking a homework answer, sizing something before building it, and getting an order of magnitude before committing to a design — a torque on a bolt, the force a spring returns, the frequency a circuit resonates at, how long light takes to arrive.

What is the most common mistake?

Feeding in a value in the wrong unit. Physics formulas assume SI throughout, so grams instead of kilograms or centimetres instead of metres shifts the answer by powers of ten without any warning.

How is Angular Velocity Calculator different from Velocity Calculator?

They sit next to each other but answer different questions. Velocity Calculator: find velocity, distance, time, relative or angular-to-linear speed — five modes, any units. Pick whichever matches what you're starting from — both are free.

Is there a tool for the next step?

Escape velocity calculator is the closest one after this: Compute the escape velocity of a body from its mass and radius.

What else is worth having open alongside it?

Orbital velocity calculator and Coulomb's Law Calculator — they come up in the same task often enough to be worth a second tab.

Where do the figures come from?

Constants are the CODATA values and the formulas are the textbook ones. Most assume an idealised case — no air resistance, no friction, a point mass — and the tool says so where the simplification matters.

Further reading

All guides →
GuideThe Four Kinematics Equations: Which One to Use, and What Each One Leaves OutFive variables, four equations, and each equation is missing exactly one of them. Choose by looking at the variable the question never mentions.ExplainerSound Travels Faster in Steel Because of Stiffness, Not Density343 m/s in air at 20 °C, 1,481 in water, 5,960 in steel and 12,000 in diamond. Steel is 6,500 times denser than air and carries sound only 17 times faster — density slows sound down.ExplainerHow the Doppler Effect Works: The Formula, the Sign Convention, and Why Moving the Source Is Not the Same as Moving the ListenerFor sound, f' = f(v + v_o)/(v − v_s) — and getting the signs backwards is the classic error. Here is the convention spelled out, a 440 Hz source computed at four speeds, and why light needs a different equation entirely.ExplainerProjectile Motion Explained: Range, Height, Flight Time — and Why 45° Is Not Always BestThree formulas cover the whole of projectile motion on level ground. The catch is level ground: the moment launch and landing heights differ, the 45° result stops being true.ExplainerA Party Balloon Lifts Fourteen Grams, Not Its Own VolumeA 28 cm latex balloon nets 14 g of lift, so a kilogram takes 72 of them. At 2,000 metres the same balloon lifts 21 % less and you need 91.ExplainerA Kitchen Scale and a Jug Tell You If That Tap Is Really BrassWeigh it, sink it in water, divide. 340 g displacing 40 cm³ is 8.5 g/cm³ and brass; 272 g in the same 40 cm³ is 6.8 and a zinc casting wearing brass plate.