Watt-seconds to Kilowatt-hours conversion

How to convert watt-seconds to kilowatt-hours?

To convert watt-seconds (Joules) to kilowatt-hours, you need to understand the relationship between these units. Here's the conversion process:

1 watt = 1 joule/second

1 watt-second = 1 joule

1 kilowatt (kW) = 1,000 watts

1 hour = 3,600 seconds

1 kilowatt-hour (kWh) = 1,000 watts * 3,600 seconds = 3,600,000 joules

So to convert from watt-seconds (joules) to kilowatt-hours:

$\text{kWh} = \frac{\text{Watt-seconds}}{3,600,000}$

Therefore:

$1 \text{ watt-second} = \frac{1}{3,600,000} \text{ kilowatt-hours}$

$1 \text{ watt-second} = 2.78 \times 10^{-7} \text{ kilowatt-hours}$

Real World Examples

Let's look at other quantities of watt-seconds and convert them to kilowatt-hours:

1. 10 watt-seconds:

$10 \text{ watt-seconds} = 10 \times 2.78 \times 10^{-7} = 2.78 \times 10^{-6} \text{ kilowatt-hours}$

2. 1,000 watt-seconds (1 kilojoule):

$1,000 \text{ watt-seconds} = 1,000 \times 2.78 \times 10^{-7} = 2.78 \times 10^{-4} \text{ kilowatt-hours}$

3. 10,000 watt-seconds (10 kilojoules):

$10,000 \text{ watt-seconds} = 10,000 \times 2.78 \times 10^{-7} = 2.78 \times 10^{-3} \text{ kilowatt-hours}$

4. 100,000 watt-seconds (100 kilojoules):

$100,000 \text{ watt-seconds} = 100,000 \times 2.78 \times 10^{-7} = 2.78 \times 10^{-2} \text{ kilowatt-hours}$

5. 1,000,000 watt-seconds (1 megajoule):

$1,000,000 \text{ watt-seconds} = 1,000,000 \times 2.78 \times 10^{-7} = 0.278 \text{ kilowatt-hours}$

Practical Applications

• 1 watt-second (0.278 microwatt-hours): This is a very small amount of energy, comparable to the energy consumed by a small LED light bulb in a fraction of a second.

• 1,000 watt-seconds (2.78 milliwatt-hours): This amount of energy could power a typical smartphone for a few seconds or operate a small electronic device momentarily.

• 10,000 watt-seconds (27.8 milliwatt-hours): Could power a small fan for a short period or a smartphone for around 10-15 minutes.

• 100,000 watt-seconds (0.0278 kilowatt-hours): Sufficient to run a 100-watt incandescent light bulb for approximately 16 minutes.

• 1,000,000 watt-seconds (0.278 kilowatt-hours): Equivalent to the energy consumption of a medium-size household refrigerator running for about 10-12 hours.

Understanding these conversions can help you better grasp the scale and impact of energy consumption and efficiencies in various everyday applications.