Use this classical-physics calculation for a transparent first-pass result when the variables, reference frame, signs, and SI units match the stated ideal model.

Mass (kg)

Mass of the orbiting body in kilograms.

Velocity (m/s)

Speed along the circular path in metres per second.

Radius (m)

Radius of the circular path in metres; must be positive.

Compute centripetal force as mass times squared speed divided by the circular path radius (F = m·v²/r). The tool evaluates the supplied inputs together and returns the named outputs below; it does not infer omitted operating conditions or change the units shown.^[1]

Force (N)

The resulting force returned as a number.

• Point masses, constant acceleration, rigid bodies, uniform fields, negligible drag, and lossless transfers are common simplifying assumptions. Relativistic, quantum, rotational, dissipative, and uncertainty effects may require a fuller model.
• Use finite inputs in the displayed units and preserve more precision than the final presentation requires. Independently verify safety-critical, financial, compliance, or production decisions.

Draw a free-body or energy diagram, check dimensions and limiting cases, retain signs and vectors, and compare consequential results with measurement or simulation.

• Kinetic Energy

  Compute translational kinetic energy as one half mass times speed squared.

• Force Calculator

  Compute force as mass times acceleration (F = m·a).

• Density Calculator

  Compute density as mass divided by volume.