Coin Rotation Paradox Calculator: How Many Times Does a Coin Really Rotate?

Calculate Coin Rotations

Please enter the radius of the fixed coin.
Please enter the radius of the rolling coin.

Results:

The rolling coin makes rotations.

Unlock the secrets of the Coin Rotation Paradox with our intuitive calculator. Understand why a coin rolling around an identical coin rotates twice, challenging common intuition and revealing fascinating kinematic principles. Use our tool to calculate the exact number of rotations based on the radii of the fixed and rolling coins.

Formula:

The number of rotations (N) for a coin rolling around another coin is given by:

N = (R / r) + 1

  • N: Total number of rotations of the rolling coin.
  • R: Radius of the fixed coin (the coin being rolled around).
  • r: Radius of the rolling coin.

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