Question

Convert velocity of 36 km per han -1 into m s -1

Answer 1

AnswEr :

Here, we are asked to convert 36 km/h into m/s. In order to do that so, firstly we need to convert km in metre and hours into seconds.

Here,

$\longrightarrow \tt{ 36 \; kmh^{-1} = \dfrac{36 \;km}{1 \; hour} }$

As it is know to us that,

• 1 km = 1000 m
• 1 hour = 60 minutes and 1 minute = 60 seconds

$\longrightarrow \tt{ 36 \; kmh^{-1} = \dfrac{(36 \times 1000) \;m}{(60 \times 60) \; second} }\\ \\ \longrightarrow \tt{ 36 \; kmh^{-1} = \dfrac{36000 \;m}{3600 \; second} }\\ \\ \longrightarrow \tt{ 36 \; kmh^{-1} = \cancel{\dfrac{36000 }{3600 }} \; ms^{-1}}\\ \\ \longrightarrow \underline{\boxed{ \tt{ 36 \; kmh^{-1} = 10 \; ms^{-1}}}} \; \red{\bigstar}$

Another Method : There's also another way to convert km/h to m/s. This method is the easy one. Just memorize that,

$\longrightarrow \boxed{\tt {1 \; kmh^{-1} = \dfrac{5}{18} \; ms^{-1} }}$

So, we can say that,

$\longrightarrow \tt {36 \; kmh^{-1} = \Bigg ( 36 \times \dfrac{5}{18} \Bigg ) \; ms^{-1} } \\ \\ \longrightarrow \tt {36 \; kmh^{-1} = \Bigg ( 2 \times 5 \Bigg ) \; ms^{-1} } \\ \\ \longrightarrow \underline{\boxed{ \tt{ 36 \; kmh^{-1} = 10 \; ms^{-1}}}} \; \red{\bigstar}$

∴ The required answer is 10 m/s.

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Remember that!

• To convert km/h to m/s, multiply the value with 5/18.
• To convert m/s to km/h, multiply the value with 18/5.