Question
The average television is said to be on 6 hours per day. Estimate the yearly cost of electricity to operate 100 million TVs, assuming their power consumption averages 150 W and the cost of electricity averages .
Final Answer
$3.94 billion / year
Solution video
OpenStax College Physics for AP® Courses, Chapter 20, Problem 56 (Problems & Exercises)
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Video Transcript
This is College Physics Answers with Shaun Dychko. The average television is on for about 6 hours per day and suppose we have 100 million television's to consider and the power consumption of each one is 150 watts per TV and the rate for the power is 12.0 cents per kW·h, which we convert into dollars per kW·h by multiplying by $1 for every 100 cents and so that's $0.12 per kW·h. So the cost to operate these 100 million TV's for a year is 6 hours per day of operation multiplied by 365.25 days per year and now this gives us the number of hours per year and then multiply that by 150 watts of power consumed per TV times 100 times 10 to the 6 TV's so the TV units cancel and at this point, we have watt-hours per year but we want to have kilowatt-hours per year because then that will match with our kilowatt-hours in the denominator of our electricity cost term. So we multiply by 1 kilowatt for every 1000 watts and we are left with kilowatt-hours now and we multiply that by $0.12 dollars per kW·h so the kilowatt-hours cancel and we are left with dollars per year and that is an outstanding $3.94 billion per year to operate 100 million TV's for 6 hours per day.