e4-archimedes.docx

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Physics 22 Laboratory Report

Lab E4:

Archimedes Principle

Prepared By:

____________________

Partner:________________________

Date: Wednesday, October 29,2014

Lab Instructor:

________________________________Lab Section: ____________________

Recitation Instructor:

______________________Recitation Section: _________

Remarks by Grader:

Grade:___________________________Laboratory Instructors Initials:____


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Physics 22 Laboratory Report

Lab E4:


Prepared By:

____________________

Partner:________________________

Date: Wednesday, October 29,

2014

Lab Instructor:

________________________________

Lab Section: ____________________

Recitation Instructor:

______________________

Recitation Section: _________Remarks by Grader:

Grade:___________________________

Laboratory Instructors Initials:____


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Lab E4:


Objectives:

To determine the density of various solids and liquids using Archimedes Principle.

Background:

Recall that the mass of a body mis related to its density and volume VbyEq. (1)m V

In the diagram above, the object is suspended from a string and submerged in a liquid.

The submerged object now displaces a volume Vof liquid. The submerged object is

subjected to three forces now; the gravitational force, the tension Tin the string, and anupward force known as the buoyant force. Archimedes determined that the buoyant

forceBis equal to the weight of the liquid displaced by the object:

Eq.(2)L Liquid DisplacedB Vg m g

If there is no net force on the submerged object then:

Eq.(3)LB mg T W T gV

Solving for the volume of the body:

/Eq.(4)

L

m T gW Tg

LV

mg

T

B

Liquid


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Introduction:

Diagram:

Procedure:You will determine the density of two objects: a regular shaped object and an irregularly

shaped object.

For the regular shaped object:Use the Vernier calipers and balance to make the measurements needed to calculate the

density of the regular shaped solid you are using.

Use Archimedes Principle to make the measurements needed to calculate the density of


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the regular shaped solid.

Remember that if you try to measure the force Tusing a scale, the scale reads T/g,

because it measures mass not force.

For the irregularly shaped object:

Use Archimedes Principle to make the measurements needed to calculate the density ofyour irregular object.

Measurements:

Record the dimensions of the regular shaped object here:

Record the mass of the object here:

Record the mass of the submerged object here:

Repeat for the irregularly shaped object.

Analysis:

Calculate the density using your measurements of the dimensions and mass of your

regular object.

Calculate the density of your regular object using Archimedes Principle.

Calculate the percent difference between your calculated densities above.

Calculate the density of your irregular object using Archimedes Principle.

Using the table of densities below, determine the material your objects are made of.Calculate the percent difference between your measured values and the tabulated values.


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Material Density (g/cm )

Aluminum 2.699

Brass, yellow (7% Cu, 30% Zn) 8.56

Copper 8.89

Gold 19.33

Iron 7.85Steel 7.79

Lead 11.00

Magnesium 1.741

Nickel 8.75

Osmium 22.5

Potassium 0.87

From CRC Handbook of Chemistry and Physics

Conclusions:

Brief summary of the procedure and analysis:

Summary of the sources of error:

If there are multiple sources of error, which is most important?

Which are less important?

How might you be able to improve your procedures to reduce measurement errors?

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