Measurement of Mass, Volume, and Density through
Archimedes Principle
Overview:
The purpose of this experiment was to measure the density of a solid and a liquid using Archimedes principle. Archimedes is one of the greatest inventors and mathematicians of all time. The principle we used in this experiment was discovered when Archimedes stepped into a full bath tub. Using Archimedes principle, we were able to determine the density of a lead rod, water, and an unknown liquid.

Equations:
Spring ConstantF=-kxThe equation was used to calculate the spring constant of spring i.| Densityρ=massvolumeThis equation was used to calculate the density of an object.| Buoyant ForceB=Δmg=ρf VobjgThis equation was used to calculate the buoyant force of an object.| Experimental Procedure:

ProcedureA: * Setup similar to the spring constant lab * Use the same or a similar spring from the spring constant lab * Find the spring constant of the smallest spring used from previous lab if not already foundB: * Use the same metal rod from the Error of Propagation experiment and attach it to the bottom of the spring * Fully submerged the metal rod in a beaker of water * Record the displacement of the submerged object * Repeat several times making sure the object is fully submerged and steadyC: * Dry the object and then repeat part B with an unknown liquid| Observations * Used spring i. We worked with a different group so we used their spring with their known spring constant. * Used an iron rod, which is what the group we worked with used before. * Starting volume decreased after the first trial * Displacement in the unknown liquid was very similar to that of water|

Data/Results:
A:

Spring constant: k=0.023 N/m
This was received from the group we worked with.
B...

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Experiment 7: Relative Density
Laboratory Report
Marella Dela Cruz, Janrho Dellosa, Arran Enriquez,
Alyssa Estrella, Zacharie Fuentes
Department of Math and Physics
College of Science, University of Santo Tomas
España, Manila Philippines
Abstract
The experiment was conducted to show the different methods on how to determine an object’s composition through its density and to determine an object’s density by displacement method and theArchimedesPrinciple. Results show that. The materials used were the spring scale, beaker, 25 pieces of new 25 centavo coins, a bone from a pig’s leg, diet and regular soft drinks, and a pycnometer.
1. Introduction
Density is a physical property of matter. It is the mass per unit volume of a substance. In this experiment, relative density is also used to be able to determine the composition of the substances or objects used. Relative density is the ratio of a density of a substance to that of the density of a given reference material. It is also known as specific gravity. Density is used when making or building objects that are required to float such as ships on water and airplanes in the sky.
Objectives:
1. To determine the density of an object by displacement method
2. To determine the composition of a substance based on its density
3. To determine the density of a substance by ArchimedesPrinciple
2. Theory
Relative Density (R.D.) or...

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Archimedes’ & Pascal’s Principle
Purpose
In this lab, we will prove Archimedes’ Principle by finding the density of a Metal Cylinder, a cork, and an unknown fluid by using Archimedes’ Principle. We will also use the PASCO Pascal’s PrincipleLab Setup to investigate the use of fluid pressure as a hydraulic system to do work and we will find its mechanical advantage.
Procedure
For the first part of the lab we will be verifying case 3 as explained by professor. We will measure the mass of the metal cylinder using the digital balance. After measuring the mass we also gather the diameter and height using the vernier caliper to calculate its volume. Using the mass and volume, we calculated its density.
Now a beaker was filled with water and the mass was measured. The cylinder we originally used will now be suspended in the beaker full of water and the change of mass will be recorded. The difference between these gives the Buoyant Mass of the cylinder. Using formulas provided the actual density of object was calculated as well as the apparent mass in water. Next we verified the situation in case 1. The big and small diameters of the cork were measured and then the density was calculated. Same process again, the cork will be suspended in the beaker that was full of water and we measured of how of it went...

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LABORATORY REPORT SUBMISSION
Experiment Title
:
ArchimedesPrinciple
Due Date
:
13 Nov 2014
Lab session
:
Group C
Group
:
03
STUDENTS DECLARATION OF WORK
We declare that the work submitted is our own. We confirm that we have read and understood the University regulations with regard to Plagiarism, Collusion and Cheating in this work will be penalized.
No.
Student ID
Group Members
Signature
1
1001336124
Rafat Saifullah Joy
2
1001025540
Liew Jian Huei
3
1001233272
Mustafa Maan
4
1001232603
Al faqeeh Ali
5
1001438732
Wah Jia Kai
6
1001437466
Cheng Wy - Liang
LECTURER’S ASSESSMENT CRITERIA
Criteria
Wtg.
Mark
Title, Objectives & Introduction
4
Materials and Methods
2
Results
3
Discussion & Conclusion
5
References
1
TOTAL:
15
Title: ArchimedesPrinciple
Objective:
To determine the density of an object more dense than the water by using ArchimedesPrinciple.
Introduction:
Archimedes’ principle states that for anybody partially or completely submerged in a fluid is buoyed up by a force equal to the weight of the fluid displaced by the body. The weight of an object acts downward, and the buoyant force provided by the displaced fluid acts upward. The fluid displaced has a weight W = mg. The mass can then be expressed in terms of the density and its volume, m = pV...

...Title:
Archimedesprinciple
Objective:
To use ArchimedesPrinciple to determine the density of an object more dense than water.
Introduction:
Archimedes' principle is a law of physics stating that the upward force (buoyancy) exerted on a body immersed in a fluid is equal to the weight of the amount of fluid the body displaces. In other words, an immersed object is buoyed up by a force equal to the weight of the fluid it actually displaces. Hence, the buoyant force on a submerged object is the same with the weight of the fluid displaced. The weight of the displaced fluid is directly proportional to the volume of the displaced fluid (if the surrounding fluid is of uniform density). In simple terms, the principle states that the buoyant force on an object is going to be equal to the weight of the fluid displaced by the object, or the density of the fluid multiplied by the submerged volume times the gravitational constant, g. Thus, among completely submerged objects with equal masses, objects with greater volume have greater buoyancy. In this experiment, to calculate the density, we can use two methods:direct and indirect measurement. Direct measurement is used to calculate the mass and volume of object eg. magnet bar, pendulum bob and marble by using vernier calipers. By finding the density, we could determine the specific gravity of the object(the ratio of its...

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PhysicsLabReport
How does the length of a string holding a pendulum affect its oscillation?
Method
1. You will need the following apparatus: a pendulum, a piece of string, a clamp, a clamp stand and a timer.
2. Measure out 20cm and attach the metal ball.
3. Establish an angle and let the ball swing for 10 oscillations, timing it and stopping at the 10th one.
4. Write down your results.
5. Repeat steps 2-4 another 2 times so that your results are reliable.
6. Then change the length of the string 4 times, so that you get 5 different sets of results and for each time, repeat it 3 times.
DCP
Raw Data
Data Processing
Calculations:
To find the average of the time, I added all 3 values and then divided by three. For example:
(0.89+0.83+0.89)/3 = 0.87
I calculated the absolute uncertainty by considering the furthest point from the mean. For example:
1.31 (mean) – 1.25 (furthest point from the mean) = 0.06
Therefore my absolute uncertainty is +/- 0.06
I calculated the percentage uncertainty by dividing the absolute uncertainty by the mean and multiplying it by 100, like this:
(0.03/1.70) x100 = 0.18%
Source of uncertainties:
The uncertainties in the measurement came primarily from the equipment. Since we used a ruler that was divided into parts of 0.1cm, the readings were normally rounded up or down. The length of string was constant in all 3...

...Archimedes' principle indicates that the upward buoyant force that is exerted on a body immersed in a fluid, whether fully or partially submerged, is equal to the weight of the fluid that the body displaces. Archimedes' principle is a law of physics fundamental to fluid mechanics. Archimedes of Syracuse[1] formulated this principle, which bears his name.
Practically seen, theArchimedesprinciple allows us to measure the volume of our container, by measuring the volume of the liquid it displaces after the submerging and b) to calculate the buoyancy of an object immersed into a liquid.
We may observe for any immersed object that the volume of the submerged portion equals the volume of fluid it displaces. E.g., by submerging in water half of a sealed 1-liter container, we displace a half-liter volume of fluid, regardless of the container's contents. If we fully submerge the same container, we then displace one liter of liquid, that equals exactly to the volume of the 1-liter container.
If we just take an empty 1-litre plastic bottle in the air and release the bottle, it will fall down due to the gravitational force of Earth acting on our bottle. If we put this bottle under water, there will be still the same gravitational force acting on this bottle. At the same time if we release the bottle it will be pushed upwards towards the surface of the...

...collisions. In regards to conservation of energy, the calculations state that the percent discrepancies for inelastic collisions were 58.33% and 81.81% for the equal mass and unequal mass respectively. Both of the percent discrepancies were greater than 60% which indicates inelastic collisions are not as inefficient in conserving energy due to a loss in energy. The percent discrepancies for the equal and unequal mass elastic collisions were 36.36% and 56.25 % respectively. Both of the percent discrepancies for the elastic collisions were less than the percent discrepancies in inelastic collisions which validates the concept of energy conservation to be more efficient in elastic collisions.
Introduction
Objective:
The principle of the experiment is to observe elastic and inelastic collisions to study the conservation of momentum and energy.
Materials
• Horizontal dynamics track
• Collision and dynamics carts with picket fences
• 250 g Weight
• Balance
• Photogates connected to the Science Workshop interface
Experimental Procedure
The guided track, carts, photogates , 250 g weight and picket fences were the primary components used in the procedural part of the experiment. Each experiment involved the use of the photogates and picket fences to measure the initial and final velocities of both carts when they collide. The data was collected and translated to a graphical model for further analysis. The experiment was repeated for...

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“The Domino Effect”
Teacher’s Prompt
Investigate the domino effect with a set of dominoes.
Aim
To investigate the relationship between the mass of the dominoes, and how it impacts the time taken of the domino effect.
Independent Variable: The mass of each domino (12.38 g, 32.38 g, 42.38 g, 62.38 g, 82.38 g).
Dependent Variable: Time taken of the domino effect.
Controlled Variable: The number of dominoes used (8 dominoes), the distance between the dominoes (2 cm), the loads used as the initial force applied on the domino (50g), the inclined plane used as a platform that will direct the load to hit the first domino (20o), the stopwatch used to time the domino effect, the person using the stopwatch, the person releasing the metal weight from the top of the inclined plane, the ruler used to measure the distance between the dominoes.
Equipment
1 Inclined Plane
1 (50 g) Metal Weight
4 x 8 (20 g) Metal Weight
8 Dominoes (Uno Stackos)
1 Digital Mass Balance (± 0.01 g)
1 Masking Tape
1 Protractor
1 Ruler
1 Stopwatch (± 0.01 s)
-34290039687500Diagram
Analysis of Variables
Independent Variable:
The mass of the dominoes will vary ranging from 12.38 g to 82.38 g. The increase between each of the variable will be constantly 20 g, to satisfy the range of the mass; the original mass of the domino is 12.38 g, and an additional mass from a 20 g of load will be attached on top of the domino for every change in variable.
Dependent Variable:
In accordance to...