# Dimensional homogenity

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1. Jun 4, 2016

### NeerajKarthi

1. The problem statement, all variables and given/known data
Equation 1: Find the dimensions of a,b

F = at + bt2
F - force
a - Some unkown value
b - Some unkown value
t - time

In this equation we must find the dimensions of a and b which i did but, in the next similar equation

Equation 2: Find the dimensions of a,b,c

F = at + bt2 + cx3
F - force
a - Some unkown value
b - Some unkown value
t - time
c - Some unkown value
x - Unknown

I don't know how to find out dimensions for c as i dont know what is the dimensions for x here.

2. Relevant equations
F = at + bt2

3. The attempt at a solution
F = MLT-3

For the 1st equation, i got

a = MLT-3
b = MLT-4

For c= ? I dont know how to find.
What is the dimensions for x also?

2. Jun 4, 2016

### Replusz

Is that the only information you have?
Maybe x is in meters (x is sometimes used for length). Otherwise Im pretty sure you cant solve it.

3. Jun 4, 2016

### NeerajKarthi

Well, thanks a lot. After checking through i guess x might be length. And can you please post the answer so that i can cross check. Thanks

4. Jun 4, 2016

### SteamKing

Staff Emeritus
That's not how PF works. You're supposed to work out you own answers. Posting worked out solutions for others on the HW forums is a violation of the rules.

5. Jun 5, 2016

### David Lewis

[Force] = MLT-2