What is the safe towing speed formula based on the length at the waterline?

The formula that determines safe towing speed is based on the square root of the length at the waterline multiplied by a specific constant, which is 1.34. This relationship arises because the dynamics of towing involve several factors related to the hydrodynamics of a vessel and how it interacts with the water.

When the length at the waterline increases, the stability and responsiveness of the vessel also change. Towing speed cannot simply be calculated linearly with respect to the length since various physics principles, such as resistance and momentum transfer, must be taken into account. The square root function effectively accounts for these interactions, leading to a more accurate estimation of the safe towing speed.

Using the square root provides a reliable way to ensure that changes in the boat's length are proportionately considered when calculating a safe operational speed during towing. The constant 1.34 is derived from empirical data gathered from towing experiments and is widely accepted in maritime safety practices.

This method contrasts with other options that suggest either linear relationships or incorrect calculations, which fail to account for the nuanced behavior of vessels under towing conditions. Thus, this formula provides a scientifically grounded approach to ensuring safety while towing on the water.