Angular Acceleration Calculator
The rotational version of acceleration.
Angular acceleration
— rad/s²
Share sends a link that reopens these numbers. Copy details pastes the full breakdown as a list.
Turns made — rev
Angle turned — rad
Torque needed —
The formula
α = (ω₂ − ω₁) ÷ t θ = ½(ω₁ + ω₂) t τ = I α
The turns and angle assume the acceleration is constant. Friction would add to the torque needed.
What to watch out for
A negative figure means the rotation is slowing down.
Frequently Asked Questions
What is the angular acceleration of 0–3,000 rpm in 5 s?
62.83 rad/s².
How does it relate to linear acceleration?
A point at radius r has a tangential acceleration of α × r.