Calculating the Cost of Climbing Stairs: $4.75?

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Homework Help Overview

The discussion revolves around calculating the cost of energy consumed while climbing stairs, specifically focusing on power usage and energy conversion. The original poster presents a scenario involving climbing a height of 3 meters over 10 seconds and attempts to calculate the monetary cost based on their power consumption.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster calculates energy consumption using power and time, questioning if their final monetary result is accurate. Other participants raise concerns about the definitions of power and energy, and how they relate to the calculations presented.

Discussion Status

Participants are actively engaging with the calculations, with some providing alternative interpretations and corrections regarding the use of units and energy conversion. There is a mix of agreement and differing views on the calculations, indicating a productive exploration of the topic.

Contextual Notes

There is a lack of clarity regarding the energy consumed during the descent, which some participants note may affect the overall cost calculation. Additionally, the original poster's understanding of power versus energy is questioned, highlighting potential misconceptions in the problem setup.

extreme
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I used 165 watts to climb a set of stairs 3m high for 10s(550n*3m/10s). My electric company supplies 1kw for 1hr for 8 cents. If I climbed those stairs for 1 hour how much money would it be worth? I multiplied 165 by 360 divided by 1000 to get 59.4kw's. If I multiply 59.4 by .08 I get $4.75. Did I forget something?
 
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Since the problem does not specify the energy consumed for getting down a ladder (it can't be equal to the one for climbing)...I'd say that my answer is 13$ and 20ç.

Daniel.
 
I don't understand what you mean when you say "I used 165 watts to climb a set of stairs 3m high for 10s". A "watt" is a measure of power: energy per second. You can't 'use' a watt in the same way you would 'use' a Joule (or, for that matter, a "watt-second" or "kilowatt-hour").

If you mean that you averaged 165 watts of power output for all the 10 seconds, then you produced 1650 "watt-seconds"= 0.00041666.. kilowat-hours. Working at that for a full hour, 360 of the 10 second units, you would have produced 0.15 kilowatt-hour, worth, at the rate you give, 1.2 cents.
 
Thank's HallsofIvy! I should have converted joules to kwh's.
 

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