Question regarding finding mass given a weight and gravity

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SUMMARY

The discussion centers on calculating mass from weight using different gravitational constants. The weight of the object is given as 8 pounds, and the user is confused about whether to use 386.4 (gravity in inches) or 32.2 (gravity in feet) for the calculation. The correct approach is to convert the weight to mass using the formula m = W/g, where W is the weight in pounds and g is the gravitational constant. The consensus is that the user should convert all measurements to feet to maintain consistency, thus using 32.2 for the calculation.

PREREQUISITES
  • Understanding of weight and mass concepts in physics
  • Familiarity with gravitational constants (32.2 ft/s² and 386.4 in/s²)
  • Knowledge of unit conversion between pounds and slugs
  • Basic grasp of spring dynamics and constants
NEXT STEPS
  • Learn about unit conversion techniques in physics
  • Study the relationship between weight and mass in different unit systems
  • Explore the concept of spring constants and their applications
  • Investigate the implications of using inconsistent units in calculations
USEFUL FOR

Students in physics or engineering courses, particularly those studying dynamics, mechanics, or anyone needing clarification on weight and mass calculations in different unit systems.

edgarpokemon
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Homework Statement



we did a quiz in my dynamics class, it was very easy i think but there was a problem where we had to find the speed of an object attached to a spring, but that is not my question. The mass had 8 pounds, and the spring constant was in inches, the measurements in inches. To find the weight, was i suppose to use 8/(386.4) or 8/(32.2)? the 386.4 is the value of gravity but in inches

Homework Equations

The Attempt at a Solution

 
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edgarpokemon said:
The mass had 8 pounds, and the spring constant was in inches, the measurements in inches. To find the weight, was i suppose to use 8/(386.4) or 8/(32.2)? the 386.4 is the value of gravity but in inches
From what I gather on the basis of what you say, the weight of the mass is 8 pounds.
 
kuruman said:
From what I gather on the basis of what you say, the weight of the mass is 8 pounds.
sorry, i meant that the weight was 8 pounds. We were suppose to find the mass by dividing the weight by gravity or W/g.
 
edgarpokemon said:
sorry, i meant that the weight was 8 pounds. We were suppose to find the mass by dividing the weight by gravity or W/g.
As far as I am aware, from dim recollection and a little web browsing, one pound force = one pound mass * g. So if the weight was 8 lb force then the mass was 8 lb mass.
 
Or you could convert pounds to wretched slugs: m = w/g = 8/32.2 = 0.249 slugs
 
TomHart said:
Or you could convert pounds to wretched slugs: m = w/g = 8/32.2 = 0.249 slugs
right, sorry i meant slugs. well the problem had measurements in inches and the spring constant was inches, so is it correct find the slugs by using gravity but in inches? so 8/386.4?
 
edgarpokemon said:
right, sorry i meant slugs. well the problem had measurements in inches and the spring constant was inches, so is it correct find the slugs by using gravity but in inches? so 8/386.4?
I think you need to state the whole problem, word for word.
 
edgarpokemon said:
right, sorry i meant slugs. well the problem had measurements in inches and the spring constant was inches, so is it correct find the slugs by using gravity but in inches? so 8/386.4?
I found this using Google: "A slug is defined as the mass that is accelerated by 1 ft/s2 when a force of one pound (lbf) is exerted on it."
So no, you can't use inches with slugs. You can't mix units; they have to match. I think if it was me, I would convert all of the inch measurements to feet.
 

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