Yearly Income from 2.12E9 W of Energy at 1.8 Cents/kW-hr

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Homework Help Overview

The discussion revolves around calculating the yearly income generated from a specific amount of energy produced by a utility company, measured in watts and sold at a given rate per kilowatt-hour. The subject area includes energy conversion and financial calculations related to utility rates.

Discussion Character

  • Mathematical reasoning, Problem interpretation, Assumption checking

Approaches and Questions Raised

  • Participants discuss the conversion of energy units from watts to kilowatt-hours and the implications of the rate at which energy is produced. There is an exploration of the calculations involved in determining yearly income based on energy production rates.

Discussion Status

Some participants are questioning the correctness of the original calculations and the unit conversions involved. There is a suggestion to reconsider the approach to the division by 3600 seconds, indicating a potential misunderstanding of the energy production rate over time.

Contextual Notes

Participants are navigating the complexities of unit conversions and the interpretation of energy production rates, which may lead to confusion regarding the calculations. The original poster's answer was identified as incorrect, prompting further examination of the assumptions made in the calculations.

Rasine
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If the utility company sold 2.12x10^9 W of energy that they produced every second at an industrial rate of 1.8 cents per kW-hr, what would be their yearly income from this source? Give your answer in dollars.

so what i was doing is this...i was converting from W-s to kW-hr

2.12E9 W-s x kW/1000w x 1hr/3600s=588.89 kW-s

then i found how many hrs in a year 1 yer x 365days/1yer x 24hr/1day=8760

then i took the product of the two to find the amount of energy produced hourly per year which i got 5158676.4

then i multipied that by $.018 (1.8 cents)

but my answer was wrong

please tell me what is not right
 
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Was your answer like $92856. I think the units are tricky here. The energy production is 2.12x10^9 per second. Notice "per" . Which means every hr it produces 2.12x10^6 kw-hr.
 
Last edited:
yes that is what i got
 
so try omitting the division by 3600, and see if it is correct per the logic in my first post.
 

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