How Do You Convert Plane Speed from km/h to m/s?

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Homework Help Overview

The problem involves converting the speed of a plane from kilometers per hour (km/h) to meters per second (m/s). The original poster provides a specific scenario where a plane travels 2.00 x 10^3 km in 3.00 hours and seeks to determine its velocity in m/s.

Discussion Character

  • Exploratory, Assumption checking, Mixed

Approaches and Questions Raised

  • Participants discuss the conversion of units, emphasizing the use of factors of one to facilitate the transformation from km/h to m/s. The original poster expresses uncertainty about the conversion process after calculating the speed in km/h.

Discussion Status

Some participants have offered guidance on how to approach the unit conversion, suggesting the use of appropriate conversion factors. However, there remains some confusion regarding the specific steps to take, with multiple interpretations of the conversion process being explored.

Contextual Notes

The original poster has provided specific values for distance and time but has not yet clarified the conversion factors needed for the unit change. There is also a mention of converting time into minutes, which may indicate a misunderstanding of the required conversion to m/s.

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Homework Statement



If a plane can travel 2.00 x 10^3 km in 3.00 hours, what is its velocity in m/s?


Homework Equations





The Attempt at a Solution



V =
d = 2.00 x 10^3 km
t = 3.00h

V = 2.00 x 10^3 km / 3.00h

V = 2000km / 3.00h

V = 666.67km/h

666.67 kilometers = 666 670 meters - 666.67 hours = 2 400 012 seconds
I'm not sure what to do at this step changing it to m/s

V = ?m/s
 
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When you are converting between different units remember that you can always multiply by factors of 1. E.g.

[tex]\frac{1 min}{60 s}=1[/tex]

If you pick your factors of 1 correctly you can get the units you don't want to cancel out and just leave the units you do want. E.g.

[tex]120 s = 120 s \; 1 = 120 s \frac{1 min}{60 s} = 2 min[/tex]

Notice how the s on top in the original units cancels out the s on bottom from the factor of 1, leaving only min from the factor of 1.
 
DaleSpam said:
When you are converting between different units remember that you can always multiply by factors of 1. E.g.

[tex]\frac{1 min}{60 s}=1[/tex]

If you pick your factors of 1 correctly you can get the units you don't want to cancel out and just leave the units you do want. E.g.

[tex]120 s = 120 s \; 1 = 120 s \frac{1 min}{60 s} = 2 min[/tex]

Notice how the s on top in the original units cancels out the s on bottom from the factor of 1, leaving only min from the factor of 1.

I still don't understand.Are you converting into minutes? I converted into minutes which is 160minutes, do I take my m/160minutes to get my final answer of m/s?
 
You have km/h and you want m/s so you need a factor which gives you m on top and cancels out the km, and you need another factor which gives you s on top and cancels out the h. Can you figure out what those factors are?
 

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