The formula to calculate the Speed in Knots (S) is:
\[ S = 1.34 \times \left( \frac{HP}{D} \right)^{1/3} \]
Where:
HP to Knots is a calculation used to determine the speed of a vessel in knots based on its horsepower and displacement. This is particularly useful in marine applications where understanding the relationship between engine power and vessel speed is crucial for navigation and performance optimization. The formula takes into account the power of the engine and the weight of the vessel to estimate the speed at which the vessel can travel.
Let's say the horsepower (HP) is 500, and the displacement (D) is 20,000 lbs. Using the formula:
\[ S = 1.34 \times \left( \frac{500}{20,000} \right)^{1/3} = 1.34 \times (0.025)^{1/3} \approx 1.34 \times 0.29 = 0.39 \]
So, the Speed in Knots (S) is approximately 0.39 knots.