Humankind uses energy at a rate of 18 TW. How much energy does this equate to in terms of yearly usage?

Prepare for the UCF PHY1038 Physics of Energy, Climate Change, and Environment Exam. Utilize flashcards, multiple-choice questions with hints and explanations to ace your exam. Begin your study journey now!

To find the yearly energy usage for humankind at a rate of 18 terawatts (TW), it’s necessary to convert the power measurement into an energy measurement over time. Power (measured in watts) is a measure of energy per unit time. To calculate total energy, you can multiply power by the time period over which the power is used.

1 terawatt is equal to 1 trillion watts, or (1 \times 10^{12}) watts. Therefore, 18 TW translates to:

[ 18 , \text{TW} = 18 \times 10^{12} , \text{W} ]

To find the annual energy usage, this power must be multiplied by the number of seconds in a year. There are 60 seconds in a minute, 60 minutes in an hour, 24 hours in a day, and approximately 365.25 days in a year (accounting for leap years):

[ 1 , \text{year} = 60 , \text{s/min} \times 60 , \text{min/hr} \times 24 , \text{hr/day} \times 365.25 , \text{

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