Why can lb's be considered a mass and a force?

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Discussion Overview

The discussion revolves around the dual nature of the pound as both a unit of mass and a unit of force, particularly in the context of physics problems involving weight and gravitational force. Participants explore the implications of using pounds in calculations and the differences between imperial and SI units.

Discussion Character

  • Debate/contested
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • Some participants assert that pounds are primarily a unit of force, noting that a 3000-lb car exerts a force of 3000 pounds downwards.
  • Others argue that pounds can also refer to mass, with distinctions made between pound-force and pound-mass, suggesting that context is crucial for interpretation.
  • A participant references a Wikipedia article to clarify that a pound can denote mass or force, depending on the context, and highlights the historical usage of pounds as a unit of mass.
  • Some contributions emphasize the confusion arising from mixed units in the English system, particularly when converting between pounds and kilograms.
  • One participant mentions that the mass in a given example can be calculated by dividing the weight in pounds by the acceleration due to gravity.
  • There is a discussion about the shorthand notation used in unit conversions, with some participants expressing confusion over the mathematical representation of these conversions.
  • Another participant points out that while pounds can be used as a unit of mass, it is often colloquially treated as a unit of weight, leading to potential misunderstandings.
  • Some participants highlight the importance of clarity in distinguishing between pound-force and pound-mass to avoid confusion in calculations.

Areas of Agreement / Disagreement

Participants express differing views on whether pounds should be considered a unit of mass or force, with no consensus reached. The discussion remains unresolved regarding the implications of using pounds in various contexts and the clarity of unit definitions.

Contextual Notes

Participants note the limitations and potential confusion associated with using imperial units, particularly in relation to gravitational acceleration and the conversion between pounds and kilograms. The discussion also touches on the historical context of unit definitions.

  • #31
I like Serena said:
Hmm, I don't get this. :confused:

The SI prefix "kilo" literally means 1000 and is unit-less.

As far as I know:
1 \textrm{ kg} = 1 \cdot \textrm{ kilogram} = 1 \cdot (1000 \cdot \textrm{ gram}) = 1000 \cdot \textrm{ gram} = 1000 \textrm{ gram}

The units don't balance.
 
Last edited:
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  • #32
Phrak said:
The units don't balance.
They do if you consider kilo to be a dimensionless quantity (equal to 1000) separate from grams which is a quantity with dimensions of mass, and the practice of writing them together simply to be notational shorthand.
 

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