If a pump is pumping at 15KW, what is the water horsepower for a 15HP pump?

To calculate the **water horsepower (WHP)**, we need to determine how much of the pump's power is converted into useful work to move the water. The formula for water horsepower is:

\[
\text{WHP} = \frac{Q \times H}{3960}
\]

where:
- \(Q\) = flow rate in gallons per minute (GPM)
- \(H\) = head or height in feet
- 3960 is a constant that relates these units to horsepower.

However, you haven't provided the flow rate \(Q\) or the head \(H\), which are critical for calculating WHP. Since you've mentioned the pump's electrical power rating (15 kW) and a 15 HP pump, we can also relate **electrical horsepower (EHP)** to water horsepower using the efficiency of the pump.

The conversion factor between kilowatts and horsepower is:

\[
1 \text{ HP} = 0.746 \text{ kW}
\]

Thus, a **15 HP** pump would have a power equivalent to:

\[
15 \times 0.746 = 11.19 \text{ kW}
\]

If the pump is operating at 15 kW, this is higher than the power output of a 15 HP motor, so the efficiency must be considered. Efficiency (\( \eta \)) is defined as:

\[
\eta = \frac{\text{WHP}}{\text{EHP}}
\]

To proceed further, I'll need more details about the pump efficiency and the system it is working in. 

Would you like to provide the pump efficiency or flow rate/head details?

---

Here are 5 related questions for deeper exploration:
1. What is the flow rate of the pump in GPM?
2. What is the total head (height) the pump needs to overcome?
3. What is the efficiency rating of the pump?
4. How does the pump's performance vary with changes in system pressure?
5. What other energy losses affect the water horsepower?

**Tip**: Always know the efficiency of a pump to calculate how much power is actually being used to move the fluid versus how much is lost to inefficiencies.

Discover how to calculate the water horsepower (WHP) for a pump with a 15KW power rating and a 15HP motor. This guide covers key concepts like power conversion, efficiency, and the use of hydraulics formulas to find the water horsepower. Suitable for high school students in Grades 11-12.

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