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Calculator Description
Balance Calculator v1
Balance calculates the magnitude(s) and position(s) of the balancing weight(s) that would be required to prevent resonance in a rotating disc or shaft

Balancing (Discs & Shafts)


Imbalance in a rotating body will generate an in-plane vibration that could cause serious damage if allowed to resonate (see Vibration Damping; Fig 2). Suitably positioned weight(s) will completely eliminate this vibration.

Disc or Wheel

A disc or wheel is considered to be a thin or flat plate, the plane of rotation of which passes through the middle of its insignificant thickness.

A balance weight (one only) is to be located at a suitable radial position in the middle of its thickness.


A shaft is a significantly thick plate or long beam; the plane of rotation of which is at 90° to its axis of rotation. Imbalance occurs not only radially but also longitudinally, generating a moment couple that together with a radial imbalance could cause serious damage if allowed to resonate.

The balance weights (two only) are located at suitable radial positions along its length.


The balance calculator has two calculation options:
'1-Plane' for thin discs
'2-Plane' for long shafts

Balance allows the user to enter the properties of up to 10 sources of imbalance (positive and negative) and will calculate the magnitude of the counterbalance weight(s) and where to locate it radially and angularly, and also longitudinally (for the 2-Plane calculation option).

For help using this calculator see Technical Help

Balance Calculator - Options


Calculates the magnitude and angular position of a single weight that would be required to balance a disc of negligible thickness (or length)

You enter: and the balance calculator will provide:
  • radius (position of balance weight)
  • mass₁₋₁₀ (unbalance)
  • radius₁₋₁₀ (unbalance)
  • angle₁₋₁₀ (unbalance)
  • mass (balance)
  • angle (balance)


Calculates the magnitude and angular positions of two weights that would be required to balance a shaft of significant thickness (or length)

You enter: and the balance calculator will provide:
  • width (between balance weights)
  • radiusᴬ (position of balance weight A)
  • radiusᴮ (position of balance weight B)
  • mass₁₋₁₀ (unbalance)
  • radius₁₋₁₀ (unbalance)
  • angle₁₋₁₀ (unbalance)
  • distance₁₋₁₀ (unbalance)
  • massᴬ (balance)
  • angleᴬ (balance)
  • massᴮ (balance)
  • angleᴮ (balance)

Check minimum system requirements

Price: £8.00

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