Calculadora de Movimento Circular
- Created by
- Renato Passos, Eng. de Software
- Reviewed by
- Renato Passos, Eng. de Software
Last updated: Apr 18, 2026
Formula
v = ω·r; a_c = ω²·r
About this calculator
The circular motion calculator solves rotational kinematics problems for uniform circular motion (UCM). It calculates tangential velocity (v) from angular velocity (ω) and radius (r), and centripetal acceleration (a_c) from angular velocity and radius. The formulas used are v = ω·r and a_c = ω²·r, which describe the relationship between linear and angular quantities in circular paths.
To use the calculator, enter two known values among angular velocity, radius, and tangential velocity to obtain the third, or enter angular velocity and radius to calculate centripetal acceleration. The tool is useful in contexts such as mechanical engineering, experimental physics, and projects involving rotation, like rollers, pulleys, and centrifuges. It provides instant results with adjustable precision.
Important precautions: ensure units are consistent (rad/s for ω, m for r, m/s for v). Uniform circular motion assumes constant angular velocity; if angular acceleration is present, other formulas are needed. Centripetal acceleration is always directed toward the center of the path, but the calculator provides only the magnitude. In real situations, consider friction and air resistance, which may alter the values.
Frequently asked questions
Can I use the calculator for non-uniform circular motion?
No, this calculator is only for uniform circular motion (constant angular velocity). For motion with angular acceleration, use rotational kinematics equations with acceleration.
What unit should I use for angular velocity?
Use radians per second (rad/s). If you have rotations per minute (RPM), convert to rad/s by multiplying by π/30.
What does centripetal acceleration mean?
It is the acceleration pointing toward the center of the circular path, responsible for keeping the object in circular motion. Its magnitude is given by a_c = v²/r or a_c = ω²·r.
How do I convert RPM to rad/s?
Multiply the RPM value by π/30. For example, 60 RPM equals 2π rad/s (approximately 6.283 rad/s).
Does the calculator consider the sign of angular velocity?
No, the calculator uses only the magnitude (absolute value). For direction, separate vector analysis is needed.