Question

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

Answer 1

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To convert km/h into m/s ,

we could multiply the given speed with 5/18 .

$\frac{40}{46}\:km/h$

$\frac{40 \times 5}{46 \times 18}$

→ 0.96618357488 m/s

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Answer 2

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,

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