**Towing Force Calculator**

Enter the values of bollard pull force, BF_{(kN)} and engine efficiency factor, EF to determine the value of Towing Force, TF_{(kN)}.

**Towing Force Formula**

Towing force is crucial in determining the total force applied when pulling a vessel or vehicle, considering the bollard pull force and the efficiency of the towing system or propulsion.

**Towing Force, TF _{(kN)}** in kiloNewtons is calculated by multiplying the bollard pull force, BF

_{(kN) }in kiloNewtons, with the engine efficiency factor, EF (dimensionless).

Towing Force, TF_{(kN)}** = **BF_{(kN)} * EF

TF_{(kN)} = towing Forcein kiloNewtons, kN.

BF_{(kN)} = bollard pull force in kiloNewtons, kN.

EF = efficiency factor.

__Towing Force Calculation:__

- The bollard pull force of the tugboat is 30 kN, and the efficiency factor of the towing setup is 0.85.

Given: BF_{(kN)} = 30kN, EF = 0.85.

**Towing Force, TF _{(kN)} = **BF

_{(kN)}* EF

**TF _{(kN)} = 30 * 0.85**

**TF _{(kN)} = 25.5kN.**

- The bollard pull force is estimated at 10 kN, and the towing force is 9kN, find efficiency factor due to various conditions.

Given: BF_{(kN)} = 10kN, TF_{(kN)} = 9kN.

**Towing Force, TF _{(kN)} = **BF

_{(kN)}* EF

EF = **TF _{(kN)} / **BF

_{(kN)}

EF = 9 / 10

EF = 0.9.