Dimensional Analysis: Investigation on bifilar suspension Ho Yuk Him (Date of experimentation :20th and 29th October, 2010) This paper presents a study on the application of dimensional analysis on the formulation of an equation concerning the periodic time of a rod rotating at an angle about the vertical axis suspended by two strings at each end. We find that period is inversely related to distance between the strings parallel to each other and directly proportional to the both the square root of length of string and the length of suspension, (i.e. d ). Although discrepancy is found when the equation proposed by eminent scholars is compared against with ours, our findings can hardly pale into insignificance as errors and the cause of …show more content…
A synopsis is also given at this section. It is nearly impossible not to draw any reference during the compilation of this report and any papers referenced are given under the section, references. An appendices is attached at the end of this paper to outline the detailed derivation of formulas provided without proof in the section theory. II. Background A bifilar suspension is, literally, one in which two (bi) filaments (filar) support a rod. It is used in this study to show that the full relationship between the periodic time T, the length l of the vertical suspension threads and their distance d apart is: , (4) where M and l are the mass and the moment of inertia about the axis of oscillation respectively. The acceleration to gravity However, with limited resources and time, we manage just to establish the relationship among T, l , d and an additional unit f, length of suspension. Others are just ignored at the time being. Before going on discussing the hypothesis, it is worthwhile to get used to what equipments are used and how they are arranged. To make the experiment fair, extra apparatus are used. For the sake of convenience, all apparatuses employed with their respective quantities used are tabulated below: Apparatuses Ruler Specification 20 cm plastic 30 cm plastic 50 cm wood 100 cm wood Threads (Filaments) Stand and clamp Set square Spirit level Stop watch Wooden block Stickers / / / / Accurate to 0.01 seconds / / Quantities used 1 piece 1 piece
Where τ (N.m) is torque, F (N) is the acting force on the system, θ is the angle in which the force acts on the object, and l (m) is the distance of the acting force from the fulcrum. This shows that a larger force will cause a greater rotation than a smaller force does. However, the angle of the force is also important, and if
We discover scientific knowledge in various natural science fields such as biology or chemistry. A common misconception about the natural sciences is that both the knowledge they reveal to us and the scientific method used in discovering this are purely analytical. This means that these sciences are rigid in facts and do not contain any subjectivity or creativity. However, the scientific method is not a rigid system of pursuing measurable facts. It contains fallacies and biases. In testing hypotheses, performing observations, or reasoning inductively, science is undoubtedly flawed and erroneous. Paradigms, commonly seen as infallible and containing rather insignificant errors, contribute to many of the errors involved in scientific
Based on my knowledge, I think the length of the string is effecter than the mass. Because if two string have the same angel begins with. The one with the long length of the string swing scope is longer, which I think it should take one time to complete one period.
To begin the experiment, we measured the masses of the two stoppers and the eye bolt used to secure the stoppers that we were using in our apparatus. The mass of the first stopper was 18.8 grams and the mass of the second stopper was 50.5 grams. The mass of the eye bolt was 11.6 grams. The mass of the screw and bolt that secured our hanging mass was given to us as 25 grams. After, we chose six different hanging masses based on stopper mass. We made sure that the hanging mass was always larger than the stopper mass or else we would not be able to get the stopper to spin at a constant velocity. The first three mass ratios we chose was using the stopper with the mass of 18.8 grams and then we used a hanging mass (the mass of the screw and bolt is included) of 65 grams, 85 grams, and 105 grams. This gave the three mass
Since the 17th century, the scientific method has served as a memorable procedure for its ability to characterize aspects of natural science. Its reliance on sense and reason allowed it to become the backbone of research for scientists, meant to make the unknown into something better understood and explored. Even still, this tried and true method cannot be deemed completely concrete. In his passage from The Great Influenza, John M. Barry utilizes various rhetorical devices in his process of characterizing scientific research, to demonstrate the similarities between scientists and the early pioneers.
Using Gravitational Force as a Measurement Tool Answer the following questions about the results of this activity. Record your answers in the boxes. Send your completed lab report to your instructor. Dont forget to save your lab report to your computer Activity 1 Record your data from Activity 1 in the boxes below. Enter the data for the sample you used in each trial (5000 rpm, 10000 rpm, etc) in the appropriate columns and the corresponding g-force, number of layers, and position of layers position results. You will need to use the following formula to assist with your laboratory report G-force 0 00001118 x radius of centrifuge arm x (rpm)2 The radius of the centrifuge arm for this instrument is 10 cm. Speed 5000 rpm 10000 rpm 15000 rpm
4. Place the mass on the bottom of a ramp and attach the loop of string to the
Mass of the Fulcrum Clamp: _________________(grams) Mass of Clamp with V-wire: ________________(grams) Mass of Weight Hanger: __________________(grams) Balancing point (center of mass) of meter stick, x0 = ____________(cm) Values Case 1 m1 = 100 g m2 = 200 g x1 = 15 cm x2 =_________ Moment (lever) arms r1 = ___________ r2 = ___________ Results *(see note above) τcc = ___________ τcw = ___________ % Diff. __________ Case 2 m1 = 100 g m2 = 200 g m3 = 50 g
A 15 kg uniform disk of radius R = 0.25 m has a string wrapped around it, and a m = 3 kg weight is hanging on the string. The system of the weight and disk is released from rest.
M., & Peterson, C. B., 2001). The article took a couple of ideas from its secondary sources in order to see change or altered them in ways were it would get a better more accurate result.
where no academic studies in opposition of this perspective. Also, the academic study lacked any
Methodologically, the hypothesis is not founded upon methodological impartiality. One of the vital limitations is the absence of
The author takes a distinct standpoint from what many people conventionally hold on; for example, he rules out the tendency of
A pendulum is a bob suspended by a string from a fixed point and behaves in an oscillating manner. When released from an angle away from its equilibrium, it swings side-to-side in a periodic motion. The time it takes to complete one full swing is considered the period and the purpose of this investigation is to discover the effect of the string length on the period of the pendulum. This will be accomplished by recording and analyzing data with the use of data tables and graphs.
Step 9: Because we measured the lengths in centimeters rather than meters, we need to calculate are ‘g’ value into m/s2 so we can compare it to the SI unit for acceleration due to gravity. (Eg. 981.4/100 = 9.81 m/s2)