convert 0.6m/s2 to km/h2
Answers
We have convert m / s^2 into km / h^2.
We know that 1 km is composed of 1000 m and 1 hour is composed of 60 min( and 1 minute is equal to 60 sec ).
Thus,
1 km = 1000 m
And, 1 m = 1 / 1000 km
1 h = 60 m = 60 x 60 sec = 3600 sec
And, 1 sec = 1 / 3600 h.
Given value in m / s^2 to be converted into km / h^2 is 0.6 m / s^2 .
Therefore,
= > 0.6 m / s^2
= > 0.6 x m x 1 / s^2
= > 0.6 x [ 1 / 1000 km ] x [ 1 / s x 1 / s ]
= > 0.6 x [ 10^( - 4 ) km ] x [ 1 / 3600 h x 1 / 3600 h ]
= > 0.6 x 10^( - 4 ) km x [ { 1 / ( 3600 x 3600 ) } h^2 ]
= > 0.6 x 10^( - 4 ) km x [ 1 / ( 10^2 x 6^2 x 10^2 x 6^2 ) h^2 ]
= > 0.6 x 10^( - 4 ) km x [ 1 / ( 10^4 x 6^4 ) h^2 ]
= > 0.6 x 10^( - 4 ) km x 10^( - 4 ) x 6^( - 4 ) x 1 / h^2
= > 0.6 x 10^( - 4 - 4 ) x 6^( - 4 ) x 1 / h^2
= > 0.6 x 10^( - 8 ) x 6^( - 4 ) km / h^2
= > 6 / 10 x 10^( - 8 ) x 6^( - 4 ) km / h^2
= > 6^( 1 - 4 ) x 10^( - 8 - 1 ) x km / h^2
= > 6^( - 3 ) x 10^( - 9 ) km / h^2
Hence, the required value of 0.6 m / s^2 with unit of km / h^2 is 6^( - 3 ) x 10^( - 9 ) km / h^2.