Weight Density and Mass Density

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Homework Help Overview

The discussion revolves around the calculation of weight density and mass density for various objects, based on measured weight, mass, and volume. Participants are exploring the appropriate units for these densities and the implications of their calculations.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants are questioning the units for weight density and mass density, with some confirming that weight density should be in Newtons per cubic meter and mass density in kilograms per cubic meter. There is also a discussion about whether to consider significant digits and the relevance of switching calculator modes from degrees to radians.

Discussion Status

Some guidance has been provided regarding the units of measurement, and there is an ongoing exploration of the calculations' accuracy. Participants are actively questioning the relationship between weight and mass, particularly in the context of gravitational effects.

Contextual Notes

Participants are considering the potential discrepancies in calculations and the significance of rounding and unit conversions. There is also a mention of the material properties of stainless steel, which may relate to the discussion of density.

GreenEyedGal3
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Homework Statement


I measured the weight(in Newtons), mass(in Kilograms), and volume(in cubic meters) of some objects. Then I tried to calculate the mass density and the weight density of the objects.


Homework Equations


Weight Density = weight/volume

Mass Density = mass/volume

ex. weight density of object one ... 2.00 N / 2.55x10-5 m3 = 78431 ??
mass density of object one ... .204kg / 2.55x10-5 m3 = 8000 ??

The Attempt at a Solution



I have found my numeric answers but i do not know what units the weight density and mass density are measured in. Would the weight density be measured in Newtons/ cubic meters and the mass density in kg/ cubic meters?
 
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GreenEyedGal3 said:

Homework Statement


I measured the weight(in Newtons), mass(in Kilograms), and volume(in cubic meters) of some objects. Then I tried to calculate the mass density and the weight density of the objects.


Homework Equations


Weight Density = weight/volume

Mass Density = mass/volume

ex. weight density of object one ... 2.00 N / 2.55x10-5 m3 = 78431 ??
mass density of object one ... .204kg / 2.55x10-5 m3 = 8000 ??

The Attempt at a Solution



I have found my numeric answers but i do not know what units the weight density and mass density are measured in. Would the weight density be measured in Newtons/ cubic meters and the mass density in kg/ cubic meters?
Yes, those would be the unit's to use. However, you may want to re-check your calculations.
 
I keep getting the same thing on my calculations. Should i round to the right number of significant digits or should i change my calculator from degrees to radians?
 
Hootenanny said:
However, you may want to re-check your calculations.
The calculations look fine. Are you hinting about the numbers? It looks to me like the OP was using stainless steel.

GreenEyedGal3 said:
should i change my calculator from degrees to radians?
What makes you think that this will make any difference?
 
D H said:
The calculations look fine. Are you hinting about the numbers? It looks to me like the OP was using stainless steel.
I was referring to the disparity between the weight of the object and the given mass multiplied by g:

(0.204*9.81)/(2.55*10-5) = 78480
 

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