For a pump with 525 HP operating at 2000 RPM, what is the torque calculated?

For a pump with 525 HP operating at 2000 RPM, what is the torque calculated?

• A. 1,500.75
• B. 1,378.65
• C. 1,250.50
• D. 1,612.80

Answer: (B)

To calculate the torque of a pump given its horsepower and operating speed, you can use the formula that relates horsepower, torque, and RPM: \[ Torque (T) = \frac{HP \times 5252}{RPM} \] In this scenario, the pump has a horsepower rating of 525 HP and is operating at 2000 RPM. Plugging these values into the formula gives: \[ T = \frac{525 \times 5252}{2000} \] Calculating that: 1. Multiply 525 by 5252, which equals 2,759,300. 2. Divide that result by 2000, resulting in: \[ T = \frac{2,759,300}{2000} = 1379.65 \text{ ft-lbs} \] Thus, the computation leads to approximately 1,378.65 ft-lbs of torque. This matches the second option provided in the choices. The formulation correctly applies the conversion factor (5252) that connects horsepower to torque, allowing for the accurate determination of torque from the provided horsepower and RPM figures. This approach is foundational in understanding the relationship between power and mechanical advantage in rotating machinery such as pumps.

To calculate the torque of a pump given its horsepower and operating speed, you can use the formula that relates horsepower, torque, and RPM:

[ Torque (T) = \frac{HP \times 5252}{RPM} ]

In this scenario, the pump has a horsepower rating of 525 HP and is operating at 2000 RPM. Plugging these values into the formula gives:

[ T = \frac{525 \times 5252}{2000} ]

Calculating that:

1. Multiply 525 by 5252, which equals 2,759,300.

2. Divide that result by 2000, resulting in:

[ T = \frac{2,759,300}{2000} = 1379.65 \text{ ft-lbs} ]

Thus, the computation leads to approximately 1,378.65 ft-lbs of torque. This matches the second option provided in the choices.

The formulation correctly applies the conversion factor (5252) that connects horsepower to torque, allowing for the accurate determination of torque from the provided horsepower and RPM figures. This approach is foundational in understanding the relationship between power and mechanical advantage in rotating machinery such as pumps.