How Do You Convert Meters per Second to Miles per Hour in Dimensional Analysis?

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SUMMARY

The discussion focuses on converting a speed of 1255 meters per second (m/s) to miles per hour (mph) using dimensional analysis. A participant initially attempted the conversion using the factor of 1 mph per 0.477 m/s but was advised to utilize a more comprehensive approach involving established conversion factors. The recommended method includes converting seconds to hours and meters to miles for accuracy, ensuring the conversion is mathematically sound.

PREREQUISITES
  • Understanding of dimensional analysis
  • Familiarity with unit conversion factors
  • Basic knowledge of speed measurement units
  • Ability to perform algebraic manipulations
NEXT STEPS
  • Research the conversion factors for meters to miles and seconds to hours
  • Learn about dimensional analysis techniques in physics
  • Practice converting other speed measurements using dimensional analysis
  • Explore common mistakes in unit conversions and how to avoid them
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Students in physics or engineering courses, educators teaching dimensional analysis, and anyone needing to perform unit conversions in scientific contexts.

castlegurl808
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1. Homework Statement [
Average speed of helium at 25C is 1255m/s. Convert this speed to mph


Homework Equations





The Attempt at a Solution


umm i tried to use this: 1255m/s (1mph/.477 m/s)
thats all i have and i don;t know if I did this correct
 
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Doesn't look bad, but I doubt your teacher will be pleased. Try longer route, based on well known conversion factors - seconds to hour, meters to mile.

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methods
 

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