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

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Homework Help Overview

The discussion revolves around converting acceleration from meters per second squared (m/s²) to kilometers per hour squared (km/h²) and vice versa. Participants are exploring the necessary conversions and calculations involved in this transformation.

Discussion Character

  • Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to understand how to convert 0.27 m/s² into km/h², expressing uncertainty about the process. Some participants question the need to square the conversion factor for time when performing the transformation. Others suggest breaking down the calculations into manageable parts to simplify the process.

Discussion Status

Participants are actively engaging with the problem, with some providing insights into the squaring of the conversion factor and offering alternative methods for the conversion. There is a mix of attempts and suggestions, but no consensus has been reached on the most efficient approach.

Contextual Notes

One participant mentions a time constraint for receiving an answer, indicating urgency in the discussion. There is also a reference to a specific conversion factor (1/12960) for reversing the transformation, which suggests that participants are considering multiple methods for the conversions.

An00b
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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.
 
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Not even a guess?
 
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?
 
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
 
WJSwanson said:
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.

:wink:

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

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