conversion between lbf and Newtons

[abercrombiems02]

I know there are 4.48 N in 1 pound force. The only way I can derive this is dividing 9.8 m/s^2 by 2.2 lbm/kg. The result shows that there 4.48 N in 1 lbm, but shouldn't it be that there are 4.48 N in 1 lbf. Can anyone clear this up or show a better derivation? Thanks

[HallsofIvy]

On the surface of the earth, which is indicated by your using 9.81, one pound force IS one pound "mass". (I put "mass" in quotes because, strictly speaking, the pound IS a unit of force, not mass. When you talk about "one lbm" you mean the mass that, at the surface of the earth, would weigh one pound.)

[abercrombiems02]

so then it would be valid to say that 1 lbf = 1 lbm*ft/s^2 when g has a magnitude of 32.2 ft/s^2?

[FredGarvin]

You are correct. Using Newton's 2nd Law in the fps system, it is expressed as:

F = m \frac{a}{g_c}

In this formulation, a is the local acceleration due to gravity and g_c = 32.17405 lb·ft/(lbf·s²)

You will run into different opinions on the use. I am of the opinion that one should always designate what you are talking about, i.e. lb_m or lb_f

[zwtipp05]

This is why the metric system rocks.

[abercrombiems02]

You couldn't possibly be anymore correct about that statment. stupid slugs, lbm, and lbf!!!!

[FredGarvin]

Confession: I admit that sometimes, when I am just not thinking correctly, I'll convert a problem to SI units to do the calculations. Shhhh....don't say that too loudly.