How to transform acceleration from m/s2 to km/h2 and reversed?

[An00b]

Homework Statement

0,27m/s²=? km/h²

Homework Equations

1m = 1/1000 km
1s = 1/3600 hours

The Attempt at a Solution

I have no idea.

 

[SteamKing]

Not even a guess?

 

[An00b]

I would really need an answer within 20 minutes :D

I guess if you have for ex. 5 m/s2 in km/h2 you would do

5*(1/1000)/(1/3600)²

if that is correct, how to finish? Do you really have to square 3600 or is there an easier way?

 

[WJSwanson]

Yep. You have to square 3600. It's pretty easy if you break it up into parts. (a+b)^2 = a^2 + 2ab + b^2

(3000 + 600)^2 = 3000^2 + 2(3000)(600) + 600^2 = 9000000 + 3600000 + 360000 = 12960000

Alternatively, (ab)^2 = a^2 * b^2 = 36^2 * 100^2 = 1296 * 10000 = 12960000

 

[sankalpmittal]

Yep. You have to square 3600. It's pretty easy if you break it up into parts. (a+b)^2 = a^2 + 2ab + b^2

(3000 + 600)^2 = 3000^2 + 2(3000)(600) + 600^2 = 9000000 + 3600000 + 360000 = 12960000

Alternatively, (ab)^2 = a^2 * b^2 = 36^2 * 100^2 = 1296 * 10000 = 12960000

More easier method to convert km/hr² ----> m/s² is to multiply the value in km/hr² by 1/12960 .

To do reverse multiply the value in m/s² by 12960.



So in your case ,
5 m/s² = 5*12960
= 64800 km/hr²