Angular Acceleration Calculator

    Calculate angular acceleration from angular speeds and time, torque and inertia, tangential acceleration, rotational kinematics or stopping time.

    Sign depends on the chosen positive axis direction. A positive value does not always mean speeding up when the initial angular velocity has the opposite sign.
    Angular acceleration
    628.319 rad/s²
    Speed change
    314.159 rad/s
    Time
    0.5 s
    Direction
    with axis
    Explanation
    The result is average angular acceleration over the selected interval.
    Real-world comparison
    Angular speed is close to: Power drill - 3000 rpm.

    Angular acceleration in rotational motion

    English search intent centers on alpha, angular velocity change over time, RPM conversion and the torque-over-inertia relationship.

    alpha is angular acceleration, omega_f final angular speed, omega_i initial angular speed and t time.

    tau is torque and I is moment of inertia.

    a_t is tangential acceleration at radius r.

    Signs and reversal

    Angular acceleration is signed. If angular velocity and acceleration have opposite signs, rotation slows and may reverse during the interval.

    Frequently Asked Questions

    Sources and References

    Calculations are based on the listed reference sources. Links open in a new tab.

    Updated:

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