WEBASSIGN DUE at 12:00 in the afternoon today HELP

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Homework Help Overview

The original poster is facing a time-sensitive problem related to calculating the density of a solid sphere, taking into account uncertainties in measurements of radius and mass. The problem involves converting units from centimeters to meters and determining the density along with its uncertainty.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss how to account for errors in calculations involving division and cubed quantities. There is uncertainty about the correct method for propagating errors, particularly in relation to the volume of the sphere.

Discussion Status

The discussion is ongoing, with participants offering different perspectives on error propagation methods. Some express frustration over the lack of instructional materials provided for the assignment, while others suggest reviewing relevant notes on error propagation. There is no explicit consensus on the correct approach yet.

Contextual Notes

The original poster mentions a lack of class notes on the topic and expresses urgency due to the impending deadline. This context may influence the nature of the discussion and the types of guidance offered.

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Homework Statement


I have a problem that is urgent and due at 12 afternoon today. I will give you the problem and i don't know if you will get it or not in time. It deals with uncertainties in mass and volume to create a specific density with a new uncertainty. Here is the problem:

The radius of a solid sphere is measured to be (6.30 +or- 0.25 ) cm, and its mass is measured to be (1.80 +or- 0.01) kg. Determine the density of the sphere in kilograms per cubic meter and the uncertainty in the density. (Use the correct number of significant figures.)(4 for both answer and uncertainty)

([4sigfigs]_________ +or- [4sigfigs]_______) kg/m^3 note the change from cm to m

i have the first part correct with the exact first answer being 1718 kg/m^3 but entering 1.720 b/c of the multiplication.

Homework Equations



already know how to do the first part.

The Attempt at a Solution



have no idea what to do considering the cubing of the converted m from cm and how to deal with the mass as well

sorry if it was brief but i was in a hurry and I am sure everyone can do the first part i just need to know the steps to the error bounds
 
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How do you normally account for errors when dividing two quantities?
 
well normally i would add them together but what do i do with the cubed and how do i account for it
 
xX1SHOt said:
well normally i would add them together but what do i do with the cubed and how do i account for it
Yes but how do you add them? You can't simply take their sum ...
 
do (4/3)*pi*(.0025)^3 then add the .01

Please just tell me the steps for this time i want to learn it but it is due in 20 minutes.
Please just write out the steps and then i can figure it out hopefully for now
 
xX1SHOt said:
do (4/3)*pi*(.0025)^3 then add the .01
I'm afraid that that's not right, in fact it's not even close. Have you been given any notes on error propagation? Now might be a good time to look through them.
xX1SHOt said:
Please just tell me the steps for this time i want to learn it but it is due in 20 minutes.
Please just write out the steps and then i can figure it out hopefully for now
That's not the way it works here. We don't do people's work for them.
 
ive looked at a lot of stuff on the internet and no there were no notes in class and it is not described in this application in the book, but thanks for trying to help for now anyway, ill post later after my class to actually understand how this works
 
xX1SHOt said:
ive looked at a lot of stuff on the internet and no there were no notes in class and it is not described in this application in the book, but thanks for trying to help for now anyway, ill post later after my class to actually understand how this works
I think it's a little unfair to set an assignment if you haven't been given any notes on the topic. Here's a decent set of notes: http://hug.phys.huji.ac.il/PHYS_HUG/MAABADA/mitkademet_a/errors.pdf . However, only the section on independent variables is relevant for you.
 
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