The formula to calculate the speed of a boat based on its horsepower and weight is:
\[ S = \left( \frac{HP}{\frac{W}{15000}} \right)^{\frac{1}{3}} \]
Where:
Boat horsepower (HP) refers to the power output of the boat’s engine. It is a measure of the engine’s ability to perform work over time. Higher horsepower typically means the boat can achieve higher speeds and handle more weight. The relationship between horsepower, speed, and weight is crucial for determining the performance and efficiency of a boat.
Let's assume the following values:
Using the formula:
\[ S = \left( \frac{300}{\frac{5000}{15000}} \right)^{\frac{1}{3}} = 9.6549 \text{ knots} \]
The Speed is 9.6549 knots.
Let's assume the following values:
Using the formula:
\[ S = \left( \frac{200}{\frac{4000}{15000}} \right)^{\frac{1}{3}} = 9.0856 \text{ knots} \]
The Speed is 9.0856 knots.
