# Dimensional homogenity

## Homework Statement

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.

F = at + bt2

## 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?

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.

NeerajKarthi
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.
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

SteamKing
Staff Emeritus
Homework Helper
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
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.

NeerajKarthi
F = MLT-3

[Force] = MLT-2

NeerajKarthi