Joules in a Kilowatt-Hour: Calculation & Conversion

  • Thread starter Mangastream
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In summary, a kilowatt-hour (kWh) is a measurement of energy usage and is equal to 3,600,000 Joules. This is derived from the equation P * t = E, where P is measured in watts and t is measured in seconds. This means that a kilowatt-hour is equivalent to 3,600,000 Joules per hour.
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Mangastream
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Homework Statement


How much energy (in Joule units) is in a kilowatt-hour?


Homework Equations





The Attempt at a Solution

 
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  • #2
What's the definition of a watt?
 
  • #3
Fairly simple, let's break down what a Watt is. We know that it is the rate of energy, or a Joule/second (J/s)

If we are given a kWh, this is actually a measurement of energy, or energy usage. If power is measured per unit time, and we multiply by time, the units cancel with one another.

P * t = E

P = 1000 W (1 kW = 1000 W)
t = 3600 seconds (60 seconds in a minute * 60 minutes in an hour)

1000 W * 3600 s = 3,600,000 J
 

1. What is a joule and how is it related to a kilowatt-hour?

A joule is a unit of energy, while a kilowatt-hour is a unit of electrical energy. One joule is equal to the amount of energy required to exert a force of one newton over a distance of one meter. A kilowatt-hour is the amount of energy consumed by using one kilowatt of power for one hour.

2. How do you calculate the number of joules in a kilowatt-hour?

To calculate the number of joules in a kilowatt-hour, you multiply the number of kilowatts by the number of hours. For example, if you use 2 kilowatts of power for 5 hours, the calculation would be 2 kW x 5 hours = 10 kWh. Then, you multiply the result by 3,600 seconds (the number of seconds in an hour) to convert from kilowatt-hours to joules. In this example, the calculation would be 10 kWh x 3,600 seconds = 36,000,000 joules.

3. How many joules are in a kilowatt-hour?

There are 3,600,000 joules in a kilowatt-hour. This is because one kilowatt-hour is equal to 3,600,000 joules, as 1 kilowatt is equal to 1,000 watts and 1 watt is equal to 1 joule per second.

4. How can you convert joules to kilowatt-hours?

To convert joules to kilowatt-hours, you divide the number of joules by 3,600,000. For example, if you have 36,000,000 joules, the conversion would be 36,000,000 joules ÷ 3,600,000 = 10 kWh.

5. Can you provide an example of a real-life application of joules and kilowatt-hours?

One common example is the use of kilowatt-hours to measure household electricity usage. Your electricity bill may include the number of kilowatt-hours you have used in a given month. Joules are often used in physics and engineering to measure energy in various systems, such as the potential energy of an object or the energy produced by a nuclear reaction.

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