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The Hydroelectric Generator Transfers Electrical Power of 3000 W to the Village. Calculate the Energy Transferred to the Village in 60

Question

The hydroelectric generator transfers electrical power of 3000 W to the village. Calculate the energy transferred to the village in 60 minutes. [3 mar

Answer

4 (305 Votes)
Verificación de expertos
Terrence Professional · Tutor for 6 years

Answer

After performing the calculations, we find that the energy transferred to the village in 60 minutes is 10800000 J (or 10.8 MJ). This means that these many joules of electrical energy is served by the generator in the given time.

Explanation

## Step 1: Understand the problemIn the problem, we are given that a hydroelectric generator provides a village with electrical power of 3000 watts. We are asked to find the total energy delivered to the village by the generator in the time period of 60 minutes. This is a straightforward energy calculation problem which uses the formula linking power (P), energy (E) and time (t), which is, E=Pt.## Step 2: Convert time unitsSince the standard unit of power (watt) is calculated in joules per second (J/s), we need to convert the time from minutes to seconds. Recall that 1 minute equals 60 seconds.### \(Time (t) = 60 \text{ minutes} = 60 \times 60 \text{ seconds}\)## Step 3: Compute the energyNext, we substitute the given values of Power (P = 3000 W) and Time (t = 60 * 60 seconds) into our energy formula E=Pt, to get the energy E.###