When converting speeds, always write the units as fractions, choose conversion factors that cancel the old units and introduce the new ones, and carry units through every step until they cancel correctly.
Imagine you have a speed like thirty meters per second and you want miles per hour; write thirty meters divided by one second, then multiply by a fraction that equals one to change meters to miles, and another fraction to change seconds to hours. Each conversion fraction should be made so the unit you do not want cancels with the one in your original speed, leaving only the units you do want. Keep the numbers exact as long as possible and only round at the very end so your answer stays accurate. If you carry the units across the whole calculation you can watch them cancel and that shows you are doing the right steps.
A common mistake is rounding too early which makes the final speed wrong, so keep values exact until the end and then round; another is flipping conversion factors so the units do not cancel, so always check which unit is on top and which is on bottom before multiplying. Some students forget to cancel units properly and end up with mixed units, so write every unit on paper and cross them out as they cancel; others mix inconsistent definitions like using an approximate mile length with an exact kilometer value, so pick consistent definitions for every conversion and note when a value is approximate.
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Convert 30 m/s to mph Correctly
- Write units as fractions
- Multiply by conversion fractions
- Cancel unwanted units
- Keep values exact until end
- Round only at the end
Common Speed Conversion Mistakes
- Rounding too early
- Flipping conversion factors
- Forgetting to cancel units
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