Archimedes Principle Essays - Physical Quantities, Force

Archimedes Principle Essays - Physical Quantities, Force Archimedes Principle Lab Report #10 Archimedes Principle Purpose, Equipment Procedure, Data Analysis Group Discussion Conclusion Physics 2A Professor Lilit Haroyan 1 Table of Contents PURPOSE....................................................................................................................................... 3 EQUIPMENT................................................................................................................................. 3 PROCEDURE................................................................................................................................. 3 DATA ............................................................................................................................................ 4 ANALYSIS ................................................................................................................................ 5-6 DISCUSSION ................................................................................................................................ 7 CONCLUSION........................................................................................................................... 7-8 2 The objective of this experiment is to investigate and test Archimedes principle by directly measuring the buoyant force acting on a submerged object. Also, it was able to determine the specific gravity for total 4 trials. A balance was used to measure the weights and a metal block placing on this balance. A container with an open spout was used to measure the weight. A beaker was used to contain water and weight. An aluminum can was acted as a ship. Sand was used to measure the weight of the ship and string was used to hold the metal block. [Part 1] Verification of Archimedes principle The rod was held up the balance beam and a string was tied with the metal block on the left side. The balance may not be calibrated yet, so calibrate the balance by making sure both sides were equal. Once the balance was equalized, a 600 mL beaker thats filled with water was placed on the opposite side of the string. The block with the string was placed into the 600mL beaker. Now that the balance was uneven again, some weights were placed to make the adjustment with the balance. Most importantly, the block was completely submerged in the water with the balanced weight in this procedure. [Part 2] Predicting the Load of a Ship A large beaker was filled up with water. The weight and height of a medium sized beaker were measured and recorded in the lab notebook. A line should be drawn at the 6 cm mark of the 3 medium sized beaker. An aluminum as the function of a ship was placed into the large beaker and some weights were added into this ship until it was reached up to the 6 cm marker of the beaker. This ship was removed from the water and measured how much weight was used to cause the ship to sink. Sand was put into the cup until the ship was submerged into the 6cm mark. Lastly, the weight of sand was measured. [Part 1] Verification of Archimedes principle exp Fb (kg) Wd (kg) th Fb (kg) E (%) Trial 1 0.0904 0.0853 .0054 0.00547 0.00547 2.41% Trial 2 0.0904 0.0820 .0084 0.00843 0.00843 0.36% [Part 2] Predicting the Load of a Ship H (m) Pw (kg/m3 ) Wth (kg) Wexp (kg) Trial 1 0.04357 0.033 0.06 1000 0.1616 0.153 5.0% Trial 2 0.04357 0.033 0.06 1000 0.1616 0.16019 0.87% This table shows the data collected during the experiment. Weights were measured in gram and converted to kilogram (kg). Height(h) and radius(r) was measured centimeter(cm) and converted to meter (m). Pw was described in gram per cm3 and it was converted to kg/m3 4 V. Analysis (Christian Dignos) [Part 1] Verification of Archimedes principle For the verification of Archimedes principle, the difference between the weight of the metal block in air and its apparent weight in water is due to the buoyant force exerted on it by water. The experimental buoyant force was calculated using the following formula: The Theoretical buoyant force, on the other hand, was calculated by measuring the weight of the water that is displaced when the metal block is placed on a can with an open spout. The volume that the block occupies on the can will match the water that is displaced. According to the Archimedes principle, the water displaced , should be the buoyant force: The weight of the open can was 15.45g, for which the displacement values are subtracted by to find the weight of the displaced water. These two values are then used to find the percent error of each individual trial by using: 5 [Part 2] Predicting the Load of a Ship For Predicting the load of the ship, The formula: was used to find the theoretical load of the ship. For the purpose of this experiment, all the values were converted to kg and meters for ease in calculation. Loading the values above into this formula, the value for was found to be: Trial 1 & 2: = (1000 kg/m)*(3.14)*(0.033^2)*(0.06m) - (.04357 kg) = 0.1616 The Experimental load, , was then found by weight of the sand loaded into the ship to the point where the ship is buoyant to the 6.0 cm height. The weight of the sand and the ship is