Exciting Calculation of Electrical Motor Energy!

How much energy will a 10-hp electrical motor deliver in 40 minutes?

Given: 1 horsepower (hp) = 746 W

Answer:

The total energy delivered by the 10-hp electrical motor in 40 minutes is 17904000 Joules or 4.97 kWh.

Let's break down the calculation to understand how we arrived at the answer. We know that electric power is defined as the energy divided by time, which can be represented by the formula: P = E / t.

By rearranging the formula, we get E = Pt. Plugging in the given values of 10 hp for power and 40 minutes for time, we have (10 hp) x (40 min) = E, resulting in 400 hp·min = E.

Next, we convert horsepower to watts using the conversion factor 1 hp = 746 W, and minutes to seconds using the conversion factor 1 min = 60 s. This gives us 400 hp·min x (746 W / 1 hp) x (60 s / 1 min) = 17904000 J.

To convert the energy into kilowatt-hours (kWh), we first convert horsepower to kilowatts using the conversion factor 1 hp = 0.746 kW and minutes to hours using the conversion factor 1 hour = 60 min. This yields 400 hp·min x (0.746 kW / 1 hp) x (1 h / 60 min) = 4.97 kWh.

Therefore, the total energy delivered by the 10-hp electrical motor in 40 minutes is 17904000 Joules or 4.97 kWh. What an electrifying calculation!