Calculating acceleration with slug and lbs

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Homework Help Overview

The discussion revolves around calculating acceleration using a force of 30.0 lb acting on a mass of 12.2 slugs. Participants explore the relationship between force, mass, and acceleration, particularly in the context of using slugs as a unit of mass.

Discussion Character

  • Conceptual clarification, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss the formula a=F/m and question the need for unit conversion between slugs and pounds. There are attempts to clarify the relationship between force and mass, with some confusion about the calculations involved.

Discussion Status

Some participants have provided insights regarding the use of slugs and the application of the formula without conversion. There is an ongoing exploration of the correct approach to dividing force by mass, with varying interpretations of the calculations presented.

Contextual Notes

Participants reference the definitions and implications of using slugs in calculations, as well as the potential confusion arising from unit conversions. There is mention of external resources for further learning, indicating a broader context of inquiry beyond the immediate problem.

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Homework Statement



What is the acceleration when a 30.0 lb force acts on a 12.2 slug mass?

Homework Equations


a=F/m

The Attempt at a Solution



I can't quite figure out the slug thing. I took 12.2 slugs to be 392.5 lb/ft/s2
Then divided 30 by 392.5 lbs got canceled out and I'm left with ft/s2 in denominator which the is reversed because we are dividing fractions ? Is this right? I get 7.6 x 10 -2 ft/s2
Thanks a million!
 
Last edited:
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According to Wikipedia, 1 slug = 1 lbf/ft/s2.
 
hi tratata! :smile:
tratata said:
What is the acceleration when a 30.0 lb force acts on a 12.2 slug mass?

I can't quite figure out the slug thing. I took 12.2 slugs to be 392.5 lb/ft/s2
Then divided 30 by 392.5 lbs got canceled out and I'm left with ft/s2 in denominator which the is reversed because we are dividing fractions ? Is this right? I get 7.6 x 10 -2 ft/s2
Thanks a million!

no, you don't need to convert …

the whole point of using slugs is to keep things simple …

F = ma works fine if the mass is in slugs and the force is in lb-force :wink:

from the pf library on slug
In Europe, a slug is one of many varieties of gastropod mollusc.

In English-speaking countries, it is a unit of mass, equal to g pounds-mass (i.e., 32.17405 lbm). It is the amount of mass that will accelerate at one foot per second squared when one pound-force is applied.

It can be thought of as a pound-weight divided by 1 ft/s².

It is mostly used when "pound" is used to mean a force, and avoids the need of an extra constant in Newton's second law \mathbf{F}\ =\ m\mathbf{a}.

It is a unit in the gravitational foot-pound-second (fps) system.​
 
Hi tiny-tim! Thanks for your response! If a=F/m and I don't need to convert then I divide 12.2 by 30 I get 0.41 - where lbs gets canceled out and I'm left with ft/s2? Does that seem right? Thanks!
 
hi tratata! :smile:

(just got up :zzz:)
tratata said:
What is the acceleration when a 30.0 lb force acts on a 12.2 slug mass?
tratata said:
If a=F/m and I don't need to convert then I divide 12.2 by 30 I get 0.41 - where lbs gets canceled out and I'm left with ft/s2? Does that seem right? Thanks!

wouldn't it be better to divide the force by the mass? :wink:
 
It sure would )))))))
 
hello

hey guys i want to become a scientist and i need lessons
 
That's what school is for.
 
addaemark said:
hey guys i want to become a scientist and i need lessons

I've been using the internet for quite some time. I haven't become old enough for my first high school physics/chemistry class but that doesn't mean the the information isn't out there. Wikipedia is your friend.

Also this is a good site: https://www.khanacademy.org/science/physics

And this guy on youtube: https://www.youtube.com/user/DrPhysicsA
 

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