A wind turbine generates electricity at a constant rate of 1.5\text{ megawatt-hours (MWh)}… — SAT

A wind turbine generates electricity at a constant rate of $1.5\text{ megawatt-hours (MWh)}$ per day. If $1\text{ megawatt-hour}$ is equivalent to $3.6\text{ gigajoules (GJ)}$ , how many gigajoules of energy does the wind turbine generate in $8\text{ hours}$ ?

A
16.2
1.8Answer
C
43.2
D
0.14

Answer

1.8

The correct answer is 1.8. To find the total energy generated in gigajoules over 8 hours, the daily rate of

1.5\text{ MWh}

is first converted to an hourly rate by dividing by 24 hours, yielding

0.0625\text{ MWh}

per hour. Multiplying this rate by 8 hours results in

0.5\text{ MWh}

of energy generated. Finally, multiplying the energy in MWh by the conversion factor of

3.6\text{ GJ}

per MWh yields

1.8\text{ GJ}

Step-by-Step Solution

Convert the daily generation rate of

1.5\text{ MWh}

to an hourly generation rate by dividing by 24 hours.

0.0625\text{ MWh per hour}

Since there are 24 hours in a day, dividing the daily rate by 24 yields the rate of energy generated per hour.

Multiply the hourly generation rate by 8 hours to find the total energy generated in megawatt-hours.

0.5\text{ MWh}

Multiplying the rate per hour by the duration of 8 hours gives the cumulative energy generated over that period.

Convert the energy generated from megawatt-hours to gigajoules by multiplying by the conversion factor of

3.6\text{ GJ}

per MWh.

1.8\text{ GJ}

Multiplying the energy in MWh by

3.6\text{ GJ/MWh}

converts the unit to gigajoules.

Key Concept

Unit Conversions

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