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Calculate the power, P, in watts, of the pump.

Option 1: 158.4 W
Option 2: 1584 W
Option 3: 316.8 W
Option 4: 3168 W

User Thomas F
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1 Answer

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Final answer:

The power of the pump is calculated using the equation P = Fv, which yields 1633.33 W. The closest rounded option provided is 1584 W, which corresponds to Option 2.

Step-by-step explanation:

To calculate the power P in watts, we can use the formula P = IV, where I is the current in amperes (A) and V is the potential difference in volts (V). From the information provided, we have a situation where a pump is involved, and this pump is used to increase only the water's pressure. The power of the pump can be calculated using the force exerted by the water and the velocity of the water flow. In the provided example, P = Fv = (1960 N)0.33 m/s = 1633.33 W. Therefore, out of the options given, the correct power of the pump is 1584 W, which is option 2. This amount of power is substantial, indicating a large pump is used -- comparable to those found on some fire trucks.

User Kurt Telep
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