Joules to Megawatt-hours conversion

Joules to Megawatt-hours conversion table

Joules (J)Megawatt-hours (MWh)
00
12.7777777777778e-10
25.5555555555556e-10
38.3333333333333e-10
41.1111111111111e-9
51.3888888888889e-9
61.6666666666667e-9
71.9444444444444e-9
82.2222222222222e-9
92.5e-9
102.7777777777778e-9
205.5555555555556e-9
308.3333333333333e-9
401.1111111111111e-8
501.3888888888889e-8
601.6666666666667e-8
701.9444444444444e-8
802.2222222222222e-8
902.5e-8
1002.7777777777778e-8
10002.7777777777778e-7

How to convert joules to megawatt-hours?

To convert joules to megawatt-hours, you need to understand the relationship between the units:

1 joule (J) is a unit of energy. 1 watt (W) is a unit of power, and 1 watt is equal to 1 joule per second. 1 megawatt (MW) is equal to 1,000,000 watts. 1 hour has 3,600 seconds. 1 megawatt-hour (MWh) is the energy consumed by a power of 1 megawatt over the duration of 1 hour.

To convert joules to megawatt-hours:

  1. Convert joules to watt-seconds (since 1 watt = 1 joule per second, this step is direct).
  2. Convert watt-seconds to megawatt-seconds by dividing by 1,000,000.
  3. Convert megawatt-seconds to megawatt-hours by dividing by 3,600 (since there are 3,600 seconds in an hour).

Let's break it down:

  1. Start with joules: 1 J
  2. Convert joules to megajoules (MJ) by dividing by 1,000,000 (since 1 MJ = 1,000,000 J). 1 J=1 J×1 MJ1,000,000 J=1×106 MJ1 \text{ J} = 1 \text{ J} \times \frac{1 \text{ MJ}}{1,000,000 \text{ J}} = 1 \times 10^{-6} \text{ MJ}
  3. Convert megajoules to megawatt-seconds (since 1 MJ = 1 megawatt-second). 1 MJ=1 MWs1 \text{ MJ} = 1 \text{ MWs}
  4. Convert megawatt-seconds to megawatt-hours by dividing by 3,600: 1 MWs=1 MWs3,600 s/h=13,600 MWh1 \text{ MWs} = \frac{1 \text{ MWs}}{3,600 \text{ s/h}} = \frac{1}{3,600} \text{ MWh}
  5. Combine all the steps: 1 J=1×106 MJ=1×106 MWs=1×1063,600 MWh=2.78×1010 MWh1 \text{ J} = 1 \times 10^{-6} \text{ MJ} = 1 \times 10^{-6} \text{ MWs} = \frac{1 \times 10^{-6}}{3,600} \text{ MWh} = 2.78 \times 10^{-10} \text{ MWh}

So, 1 joule equals 2.78 × 10^-10 megawatt-hours.

Real-World Examples of Joules:

  1. Lifting a Small Apple: When you lift a small apple (about 100 grams) 1 meter high, you do approximately 1 joule of work.
  2. Energy in a Candy Bar: The energy content of a typical candy bar is around 1,000,000 joules (approximately 239 calories).
  3. Light Bulb: A 60-watt light bulb consumes 60 joules of energy per second. Therefore, if it is on for 1 minute, it will use: 60 W×60 s=3,600 J60 \text{ W} \times 60 \text{ s} = 3,600 \text{ J}
  4. Kinetic Energy of a Moving Car: A moving car has kinetic energy. For instance, a 1,000 kg car moving at 1 meter per second has kinetic energy of: KE=12mv2=12×1,000 kg×(1 m/s)2=500 J\text{KE} = \frac{1}{2} m v^2 = \frac{1}{2} \times 1,000 \text{ kg} \times (1 \text{ m/s})^2 = 500 \text{ J}

These examples illustrate various physical contexts in which joules are used to measure energy.

See below section for step by step unit conversion with formulas and explanations. Please refer to the table below for a list of all the Megawatt-hours to other unit conversions.

What is Joules?

Joules measures energy. It is part of SI units system. Symbol for inches is JJ.

A Joule is commonly defined as amount of work done when a force of 1 newton displaces a mass through a distance of 1 metre in the direction of the force applied.

1 J=1 kgm2/s2=1 Nm1\ J = 1\ kg*m^2/s^{2} = 1\ N*m

1 J=1 Pam3=1 Ws=1 CV1\ J = 1\ Pa*m^3 = 1\ W*s = 1\ C*V

Where JJ - joule
kgkg - kilogram
mm - metre
ss - second
NN - newton
PaPa - pascal
WW - watt
CC - coulomb
VV - volt

Wiki page for Joules

What is megawatt-hours?

A Megawatt-hour is a unit of energy and its units, MWh, are formed with W for watt and h for hour from SI unit system combined with letter M, metric prefix, for 1,000,000 or 10610^6. Its definition, in the context of electricity, is the energy of one watt power flowing for one hour.

Followings equivalent equations are identical but in different units. Please note that factor 10610^6 is representing Mega prefix in MWh unit.

1MWh=106Pt=106IVt=3600106J=2.2471022106eV=8.598105106cal1 MWh = 10^6*Pt = 10^6*IVt = 3600 * 10^6*J = 2.247 * 10^{22} * 10^6 eV = 8.598*10^5 * 10^6 cal

PPowerP - Power
tTime (in hours. Multiply by 3600 to convert to seconds)t - Time \text{ (in hours. Multiply by 3600 to convert to seconds)}
ICurrentI - Current VVoltsV - Volts
JJoulesJ - Joules
eVElectronvolteV - Electronvolt
calCaloriescal - Calories

Wikipedia page for Kilowatt-hour (watt-hour redirected to kWh) UCI article on Energy Units and Conversions Ian Woofenden's explanation on difference between Watts and Watt-Hours

Complete Joules conversion table

Enter # of Joules
Convert 1 J to other unitsResult
Joules to Watt-seconds (J to Ws)1
Joules to Watt-minutes (J to Wm)0.01666666666667
Joules to Watt-hours (J to Wh)0.0002777777777778
Joules to Milliwatt-hours (J to mWh)0.2777777777778
Joules to Kilowatt-hours (J to kWh)2.7777777777778e-7
Joules to Megawatt-hours (J to MWh)2.7777777777778e-10
Joules to Gigawatt-hours (J to GWh)2.7777777777778e-13
Joules to Kilojoules (J to kJ)0.001
Joules to Megajoules (J to MJ)0.000001
Joules to Gigajoules (J to GJ)1e-9
Joules to calories (J to cal)0.2390057361377
Joules to Kilocalories (J to kcal)0.0002390057361377