What is the relationship between pound-force (lbf) and poundals (pdl)?
Pound-force (lbf) is a unit of force based on weight in standard gravity. A poundal (pdl) is a unit of force in the foot-pound-second (FPS) system. They measure the same type of thing, force, but use different definitions.
Under standard gravity, 1 lbf equals about 32.174 poundals.
How do you convert lbf to poundals?
Multiply the value in pound-force by 32.174.
Formula:
pdl = lbf × 32.174
This uses standard gravity (g = 32.174 ft/s²).
What is the exact conversion from pound-force to poundals?
Using the standard definition, the conversion is based on the acceleration of standard gravity in feet per second squared. In most practical work, you will see:
1 lbf = 32.174 pdl
More digits may appear in high-precision tables, but 32.174 is the common engineering value.
Why does 1 lbf equal about 32.174 poundals?
A poundal is defined as the force needed to accelerate a 1 lbm mass by 1 ft/s². Pound-force is tied to standard gravity, meaning it matches the weight of a 1 lbm mass at g.
Since standard gravity is 32.174 ft/s², the weight of 1 lbm is 32.174 lbm·ft/s², which equals 32.174 poundals. That is why 1 lbf comes out to about 32.174 pdl.
What are poundals used for?
Poundals show up in older physics and engineering texts that use the FPS absolute system. They can be useful when working directly with Newton’s second law in FPS units:
Force (pdl) = mass (lbm) × acceleration (ft/s²)
Today, many people use lbf instead, along with a gravity constant when needed.
Is lbm the same as lbf when converting to poundals?
No. lbm (pound-mass) measures mass. lbf (pound-force) measures force. They are related through gravity, but they are not the same unit.
Mixing lbm and lbf without the right gravity factor is a common source of errors in FPS calculations.
Can you convert poundals to lbf?
Yes. Divide poundals by 32.174.
Formula:
lbf = pdl ÷ 32.174
This assumes standard gravity.
What is a quick mental math estimate for lbf to poundals?
For a fast estimate, you can use 32 instead of 32.174.
- 1 lbf ≈ 32 pdl
- 10 lbf ≈ 320 pdl
Use 32.174 when you need better accuracy.
Do temperature, altitude, or location change the lbf to poundal conversion?
The standard conversion uses standard gravity, so the factor stays 32.174 for unit conversion. Real gravity varies a bit by location, but unit conversions are based on agreed definitions, not local conditions.
If you are modeling real weight at a location, use the local value of g in your physics equations, not the unit conversion factor.
How do you write poundal in unit form?
The standard symbol is pdl for poundal. You may also see it written out as poundal or poundals in text.
In terms of base FPS units, a poundal equals lbm·ft/s².
What are common mistakes when converting lbf to poundals?
- Using 32.2 and calling it exact. It’s a rough rounding.
- Confusing lbm with lbf.
- Forgetting that poundals are an absolute force unit tied to lbm and ft/s².
- Rounding too early when chaining several calculations.
Keeping units attached to each step helps prevent these errors.