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How to convert 40/46km/h to m/s

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QUESTION:

How to convert \dfrac{40}{46} km/h to m/s ?

Answer:

To convert \dfrac{40}{46} km/h into m/s, we should MULTIPLY \dfrac{5}{18}  with it. Such as_

(\dfrac{40}{46} \times \dfrac{5}{18} )

=( \dfrac{20}{23} \times \dfrac{5}{18} )

= ( \dfrac{10}{23} \times \dfrac{5}{9} )

= \dfrac{50}{207} m/s

Explanation:

To convert km/h to m/s we ALWAYS multiply the value by \dfrac{5}{18}  and from m/s to km/h we multiply the value by \dfrac{18}{5} .

This is because,

1 km = 1000 m

1 hour = 3600 seconds

Let, the value be, N km/h.

Hence, in m/s we get,

\dfrac{n\times 1000 }{1\times3600 } \\\\= \dfrac{n\times10}{36} \\\\= \dfrac{n\times5}{18} \\\\= \dfrac{5n}{18}



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