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Water Wheel Design Calculations

Water Wheel Power Formula:

\[ HP = \frac{Q \times H \times 8.34}{3960 \times \eta} \]

GPM
ft

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1. What is Water Wheel Power Calculation?

Definition: This calculator estimates the horsepower generated by a water wheel based on water flow rate, head height, and system efficiency.

Purpose: It helps engineers and designers determine the potential power output of water wheel systems for hydroelectric or mechanical applications.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ HP = \frac{Q \times H \times 8.34}{3960 \times \eta} \]

Where:

Explanation: The formula calculates the theoretical power available in the water flow and adjusts for system efficiency.

3. Importance of Water Wheel Power Calculation

Details: Accurate power estimation is crucial for system design, energy production forecasting, and equipment sizing.

4. Using the Calculator

Tips: Enter the flow rate in GPM, head height in feet, and efficiency factor (default 0.7 for typical water wheels). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What's a typical efficiency factor for water wheels?
A: Traditional water wheels typically have efficiencies between 0.6-0.8 (60-80%), with modern designs reaching up to 0.85.

Q2: How do I measure head height?
A: Measure the vertical distance from the water surface at the intake to the water surface at the discharge point.

Q3: What flow rates are practical for water wheels?
A: Small systems might use 50-500 GPM, while larger installations can handle several thousand GPM.

Q4: How does this relate to electrical power generation?
A: Multiply HP by 746 to get watts, then account for generator efficiency (typically 80-90%).

Q5: What's the difference between overshot and undershot wheels?
A: Overshot wheels (water enters at top) typically have higher efficiency (0.7-0.85) than undershot wheels (0.5-0.6).

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