Calculadora de Deslocamento Angular

θ = ω·t — ângulo percorrido em rotação uniforme.
Created by
Renato Passos, Eng. de Software
Reviewed by
Renato Passos, Eng. de Software

Last updated: Apr 18, 2026

θ
31,416 rad
θ em °
1.800,00 °

Formula

θ = ω·t

About this calculator

The Angular Displacement Calculator determines the angle swept by an object in uniform rotation. It uses the formula θ = ω·t, where θ is the angular displacement in radians, ω is the constant angular velocity in radians per second, and t is time in seconds. The tool is useful for rotational kinematics problems, such as calculating how many turns a shaft makes in a given time interval.

To use the calculator, enter the angular velocity and time. The result is displayed in radians, degrees, or revolutions, depending on the selected unit. The formula assumes uniform circular motion, i.e., constant angular velocity. If there is angular acceleration, the angular displacement is given by other equations, such as θ = ω₀·t + (1/2)·α·t².

Common scenarios include calculating the angle swept by a fan, a bicycle wheel, or an electric motor. In engineering, it is used to size transmission systems and determine the number of rotations of gears. Caution: ensure units are consistent (rad/s and s for radians; if using rpm, convert to rad/s).

The calculator does not consider friction or air resistance. For non-uniform motion, other formulas are required. Always verify that the motion is truly uniform before applying this simple equation.

Frequently asked questions

What is angular displacement?

It is the angle an object rotates around an axis, measured in radians, degrees, or revolutions.

What is the difference between angular velocity and angular displacement?

Angular velocity is the rate of change of angular displacement over time. Displacement is the total angle covered.

Can I use this calculator for motion with angular acceleration?

No, it is valid only for uniform rotation (constant angular velocity). For acceleration, use θ = ω₀·t + 0.5·α·t².

How do I convert radians to degrees?

Multiply the radians value by 180/π. The calculator does this conversion automatically.

What does one complete revolution mean?

One complete revolution equals 2π radians or 360 degrees. The result can be displayed in revolutions if selected.

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