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

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To convert the plane's speed from kilometers per hour to meters per second, first calculate the velocity in km/h, which is 666.67 km/h. To convert this to m/s, use the conversion factors where 1 km equals 1,000 meters and 1 hour equals 3,600 seconds. By multiplying 666.67 km/h by the conversion factors, the final velocity is approximately 185.19 m/s. The discussion emphasizes the importance of selecting appropriate conversion factors to ensure units cancel correctly. Understanding these conversions is crucial for accurate calculations in physics problems.
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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.

\frac{1 min}{60 s}=1

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.

120 s = 120 s \; 1 = 120 s \frac{1 min}{60 s} = 2 min

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.

\frac{1 min}{60 s}=1

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.

120 s = 120 s \; 1 = 120 s \frac{1 min}{60 s} = 2 min

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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