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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 minutes. [3 mar

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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 minutes.
[3 mar

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

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TerrenceProfessional · Tutor for 6 years

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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.

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## Step 1: Understand the problem<br />In 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.<br /><br />## Step 2: Convert time units<br />Since 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.<br /><br />### \(Time (t) = 60 \text{ minutes} = 60 \times 60 \text{ seconds}\)<br /><br />## Step 3: Compute the energy<br />Next, 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.<br /><br />### \(E= P \times t = 3000 \times 60 \times 60 \)
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