Since at least 1965, the cavendish laboratory physics course included an experiment to measure g to better than 1 part in 10,000 using kater s pendulum. Umberto eco foucalts pendulum only for you, children of doctrine and learning, have we written this work. It is a compound pendulum constructed on the principle that centre of oscillation and centre of suspension are interchangable. The katers pendulum is used to measure the acceleration due to. Kater pendulum introduction it is wellknown result that the period t of a simple pendulum is given by t l g 2. Homework statement hey guys, so im doing the an exercise on the katers pendulum, to calculate g. Reversible katers pendulum simple harmonic motion oscillations gravitational acceleration what it shows. To understand what he did, we will first look at simple pendula and then we will develop katers result. The pendulum shown lying down, above is hung vertically and pivots on a knife edge that rests on glass. Measurement of the acceleration of gravity using katers pendulum. Katers pendulum definition of katers pendulum by merriam.
In 1817, kater, following a suggestion from bessel, developed a reversible pendulum that made possible an extremely accurate measurement of the acceleration due to earths gravity, g. Katers pendulum stuart field and eric hazlett abstract in this lab we will determine the value of the acceleration of gravity g by using a reversible pendulum. Model available in solidworks 2016, simlab composer 7, dae, step, iges, parasolid, obj, 3d pdf, sketchup, 3ds and zim. Measure g to a few parts in ten thousand in one lab period. With the use of a simple pendulum, we can contact this inner intelligence to determine what is best for us at all times. Study of simple harmonic oscillator resonance\\ using a. The experiment of katers reversible pendulum contains not only the principle basis of the pendulum, but also the concept of the angular moment of inertia of a rigid body, as well as the understanding of how. Kater precision pendulum, only telatomic incorporated. After two centuries, still the most elegant determination of g. To understand what he did, we will first look at simple pendula and then we will develop kater s result. The principle of reversible katers pendulum and why its rod. Langley physics department, university of massachusetts, amherst, massachusetts 01003.
However, practical difficultiesprimarily in measuring the length. The cubic perioddistance relation for the kater reversible pendulum. Bessels improved kater pendulum in the teaching lab. Consider a physical kater pendulum composed of a rigid bar equipped with two weights see. Langley physics department, university of massachusetts, amherst, massachusetts 01003 received 9 november 2000. A reversible pendulum, knife edges, support stands, photodetectorstop watch, measuring tapescale. Introduction katers pendulum consists of a long bar and two masses which are attached to the bar. Set up katers pendulum, making sure it swings freely. Katers pendulum is a pendulum that consists of a steel arm with a length of about one and. The period is the same as an ideal simple pendulum isp. A special reversible compound pendulum called katers pendulum is designed to measure the value of g, the acceleration of gravity. Each of the sliding objects can be clamped in place on the rod. Katers pendulum physics 258259 katers reversible pendulum is used to complete a precision measurement of the local acceleration of gravity in storrs connecticut. Around 1817, henry kater used a reversable pendulum now called a katers.
First there is the fairly standard adjustment for nonlinearity, which means the period increases as the amplitude of the swing increases. G1 katers pendulum scientific aims and objectives to determine an accurate value for g in the lab here in sheffield and compare it with an empirically calculated value. To compare the accuracy of g measured using three different pendulums o simple pendulum o compound pendulum o katers pendulum. A compound pendulum and a kater pendulum have been used to measure the gravitational acceleration, to a precision of 0. Telrp6010 kater precision pendulum pendulum rotating about axis 2 measure g to a few parts per thousand in less than ten minutes. Be sure that the pendulum swings straight through the gate. The simple pendulum is a favorite introductory exercise because galileos experiments on pendulums in the early 1600s are usually regarded as the beginning of experimental physics. In principle, then, a pendulum could be used to measure g, the acceleration of gravity.
Pendulum a fixed pendulum bob b pendulum rod c bearing fulcrum. Measurement of the acceleration of gravity using katers. The reversion pendulum was developed by henry kater. A reversible pendulum is a special design of a normal. The relative gravimeter can then be carried to any location where it is desired to measure the acceleration of gravity. It is named after its inventor, captain henry kater, a captain in the british army and a fellow of the royal society, who invented it around 1820. To overcome this difficulty we can turn a physical pendulum into a socalled reversible katers 1 pendulum. But when we look more closely, it is much more complex. Model available in solidworks 2016, simlab composer 7, dae, step, iges, parasolid, obj, 3d pdf. In 1817, kater, following a suggestion from bessel, developed a reversible pendulum that made possible an extremely accurate measurement of.
Accessible worldwide through the internet, pendulum provides the ability to. Katers pendulum, stopwatch, meter scale and knife edges. The kater pendulum is a compound pendulum consisting of a steel arm with an approximate. To plot a graph between the distance of the knifeedges from the center of gravity and the time period of a bar pendulum. Katers pendulum konstantinos filippakos the use of katers. Help with determining errors on katers pendulum experiment.
A physical pendulum is a rigid body swing in a vertical plane about any horizontal axis passing. The simple pendulum is a favorite introductory exercise because galileos experiments on pendulums in the early 1600s are usually regarded as the beginning. Kater came about and establish his pendulum which is what was used to find an accurate representation of the local acceleration due to gravity. Feb 15, 2015 homework statement hey guys, so im doing the an exercise on the kater s pendulum, to calculate g. Work out the local acceleration due to gravity with the help of a reversible pendulum. Reversible katers pendulum harvard natural sciences. Pendulum delivers the means to more effectively run your business, control costs, and save. It is the same apparatus we are using in our experiments to. Given a simple pendulum with a bob of mass m on a string of length l, how would you. The kater pendulum is a gravimeter, an instrument used to measure the acceleration of gravity anywhere on the planet.
In principle, then, a pendulum could be used to measure g, the. An important application of the pendulum is the determination of the value of the acceleration. Turner apr 8, 2009 in 1817, british physicist henry kater developed a reversible pendulum which allows one to precisely measure the local acceleration due to gravity. Physics231lab2 1 lab 2 measurement of g using katers. The katers reversible pendulum is made of a rigid metal bar on which are inserted two massive discs m 1 and m 2 that can scroll along the bar and be fixed in different. The kater s pendulum is used to measure the acceleration due to gravity more accurately. When calibrated, it has the same oscillation period when suspended from either set of pivots. For many years, it was the standard method of measuring g to high accuracy. Peters physics department, mercer university 1400 coleman ave macon, georgia 31207. Examine this book, ponder the meaning we have dispersed in various places and gathered again.
Purpose the purpose of this experiment is to analyze the relationship between the period of a kater pendulum, t. We describe a bessel pendulum for use in the teaching laboratory, and measurements of the local. Study of simple harmonic oscillator resonance using a compact kater pendulum randall d. Two knifeedge pivot points and two adjustable masses are positioned on the rod so that the period of swing is the same from either edge. Katers reversible pendulum mechanics oscillations objective work out the local acceleration due to gravity with the help of a reversible pendulum ue1050221 ue1050221 basic principles a reversible pendulum is a special design of a normal physical pendulum. An important application of the pendulum is the determination of the value of the acceleration due to gravity. Katers pendulum definition is a compound pendulum with adjustable knife edges placed respectively at the center of suspension and near the center of oscillation and used to determine acceleration of. Katers innovation was to realize that, if one built an.
It is the same apparatus we are using in our experiments to find and prove his findings. Moreover, the pendulum is provided with wedgeshaped knives o 1 and o 2, so that we can hang it on a vertical rigid. The computeraided design cad files and all associated content posted to this website are created, uploaded, managed and owned by third party users. The inverted pendulum is one of the fundamental problems in the theory of systems and control, due to its theoretical value, along with its practical applications. The errors taken into account are just on the kater period t and the distance between the two pivot points l. The zim file can be seen on ios and android devices using the free simlab viewer app. Pendulum offered by acroprint is a sophisticated, flexible, and feature rich enterprise labor management solution. A kater s pendulum is a reversible free swinging pendulum invented by british physicist and army captain henry kater in 1817 for use as a gravimeter instrument to measure the local acceleration of gravity. If you would like to participate, please visit the project page, where you can join the discussion and see a list of open tasks. To compare the accuracy of g measured using three different pendulums o simple pendulum o compound pendulum o katers. The experiment of kater s reversible pendulum contains not only the principle basis of the pendulum, but also the concept of the angular moment of inertia of a rigid body, as well as the understanding of how to derive from a compound pendulum the relationship among the swing period, the amplitude, the angular moment of inertia, and the acceleration of gravity.
Around 1817, henry kater used a reversable pendulum now called a katers pendulum to make extremely accurate measurements of the acceleration due to gravity to simplify a little. The physical principles underlying the kater pendulum as well as bessels refinement are. Mercer university macon, georgia 31207 with the information provided in this article, students should be able to easily measure the acceleration of gravity to a few parts in tenthousand in one twohour laboratory period. The simple pendulum university of colorado boulder. Nov 30, 2008 i would have thought the blades were sharpened so that it could rock back and forth smoothly, so it doesnt waste any energy. It is able to swing from either of two mounting points and can be.
Bessels improved kater pendulum in the teaching lab d. Since at least 1965, the cavendish laboratory physics course included an experiment to measure g to better than 1 part in 10,000 using katers pendulum. Pendulum delivers the means to more effectively run your business, control costs, and save you precious time. In practice, the movable mass is divided into two or more elements to enable coarse and fine adjustment. In 1818, henry kater devised the reversible katers pendulum to measure gravity, and it became the standard measurement for gravitational acceleration over the next century. Kater s pendulum definition is a compound pendulum with adjustable knife edges placed respectively at the center of suspension and near the center of oscillation and used to determine acceleration of gravity by means of the period of oscillation. To overcome this difficulty we can turn a physical pendulum into a socalled reversible kater s 1 pendulum. Two knifeedge pivot points and two adjustable masses are positioned on the rod so that. If you would like to participate, please visit the project page, where you can join. Our experiment may be similar to one you have done in high school, however, the mathematical analysis will be more. Kater s innovation was to realize that, if one built an asymmetrical, doubleended pendulum as is shown schematically in fig. The reversible pendulum is a pendulum that can be swung from either of two pivot points. When the schuler pendulum is vertically suspended, it remains aligned to the local vertical even if the point from which it is suspended is accelerated parallel to earths. To determine the value of g at niser using a reversible pendulum.