Convert 200km/h to m/s - 3.6 Calculation Explained

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Homework Help Overview

The discussion revolves around converting a speed measurement from kilometers per hour (km/h) to meters per second (m/s), specifically focusing on the conversion factor of 3.6.

Discussion Character

  • Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the conversion process, questioning whether to multiply or divide by 3.6. There are attempts to clarify the reasoning behind the conversion factors, including unit cancellation and the relationship between kilometers and meters, as well as hours and seconds.

Discussion Status

There is an active exploration of the conversion method, with participants providing insights into the reasoning behind the calculations. Some guidance on unit cancellation is offered, but no consensus on the conversion approach has been reached.

Contextual Notes

Participants are discussing the conversion in the context of a homework problem, which may impose specific constraints or expectations regarding the explanation of the conversion process.

aksarb
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How do you get 200km/h to m/s? Do you just times that by 3.6?
 
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because to cancel out KM into M u must multiply by 1000, and to turn hours into seconds you must divide by 3600... therefore you must divide km/h by 3.6 to turn something into m/s
 
km/h * 1000m/1km * 1h/3600s = m/s
 
stewartcs said:
km/h * 1000m/1km * 1h/3600s = m/s

The idea is to carry the units along in the equations, and cancel out m/m and h/h as you go. You can multiply anything by 1, right? and 1000m/1km = 1. So multiply your original quantity by whatever form of "1" has the right ratio of units to get you closer to the answer that you want. Make sense?
 

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