Definition of pound force

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SUMMARY

The discussion centers on the definition and application of pound force (lbf) in relation to mass (lbm) and acceleration. A key point made is that 1 lbf is equivalent to 32 lbm accelerated at 1 foot per second squared, highlighting the non-coherent nature of the U.S. customary system. The conversation emphasizes the importance of understanding the relationship between force, mass, and acceleration, particularly in the context of the formula F=ma and its limitations in non-coherent systems. Participants express frustration over the lack of practical demonstrations of these concepts.

PREREQUISITES
  • Understanding of Newton's Second Law (F=ma)
  • Familiarity with U.S. customary units (pound force, pound mass)
  • Basic knowledge of acceleration and its measurement
  • Concept of coherent vs. non-coherent systems of units
NEXT STEPS
  • Research the differences between coherent and non-coherent systems of units
  • Explore practical experiments demonstrating the relationship between force, mass, and acceleration
  • Learn about unit conversion factors in physics
  • Study the implications of using pound force in calculations and engineering applications
USEFUL FOR

Physics students, engineers, and anyone interested in the practical applications of force and mass in the U.S. customary system.

Roady
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Homework Statement
prove by physical demonstaration1lbf accelerates 32lbm @ 1ft/s^2. Is there a pic of a classroom experiment proving this?
Relevant Equations
def 1lbf=32lbm*1ft/s^2
I can divide the #'s out, but so what. I want to see 1lbf move 32lbm.
 
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Roady said:
I want to see 1lbf move 32lbm.
Are you trying to convince yourself? Or a third party doubter? How direct does the proof need to be?
 
Roady said:
Does it matter? Can you answer the question?
The direct answer is that I know of no picture or video demonstrating a 32 pound weight being accelerated at 1 foot per second per second by a 1 pound force.

Given the available coefficients of friction, the best demonstration that I can think of would involve something like a pendulum bob on a long wire.
Roady said:
Do you know of a friggn experiment? I'm getting the most inane answers from respondants here; another:can you see your mistake?
Did I speak of your mistake or even imply that you'd made one? In this thread you have not made any mistakes. Up until now, you'd only asked a question.

Roady said:
Duh, if I could I wouldn't ask for help.
Here at physicsforums.com we help people help themselves. That means guiding people to an understanding. Not simply answering questions.
Roady said:
1lbf=m*g, what is that mass is another angle? 1lbf=32lbm*1f/s^2=1lbm*32/s^2, but this product is 32lbm*ft/s^2, so that has to account for something if it's not a pound force.
It sounds like you are trying to argue rather than to understand. And since you have another thread open on this same subject, I will stop responding here.

I will say that ##F=ma## only works in coherent systems of units. More generally the formula is ##F=kma## where ##k## is a unit conversion factor. The U.S. customary system is not coherent. In the U.S. system with pounds force, pounds mass and feet per second squared, ##F = \frac{1}{32}ma##
 
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The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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