Compound or kater s pendulum buy laboratory pendulum at best price of rs 100 piece from labtech international. Your katers pendulum is going to swing between the led and receiver. The kater s 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 positions in order to change the position of center of gravity of the pendulum. The pendulum rod has two fulcras as well as one sliding and one fixed disc to adjust the period of oscillation. Reversible katers pendulum harvard natural sciences. The actual experiment is based on the simple pendulum.
Kater pendulum college of saint benedict and saint john. Fix the knife edge k 1 just below it keep the knife edge k 2 at the other end and fix the wooden weight w 2 symmetrical to other end. 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. The errors taken into account are just on the kater period t and the distance between the two pivot points l. Laboratory physics, a students manual for colleges and scientific schools. The compound pendulum has a point called the center of oscillation. The objective is to compare the value and accuracy of g using each pendulum in turn. Katers pendulum konstantinos filippakos the use of katers. December 9, 2010 we experimentally determined the local gravitational constant using katers pendulum to provide the. May 14, 2015 compound pendulum the compound pendulum, which is also known as the physical pendulum, is an extension of the simple pendulum. Students adjust the relative positions of its parts until they have equal time periods in both its standard and reversed arrangements. Buoyancy correction for a kater pendulum stack exchange. The kater s pendulum used in the instructional laboratories is diagramed below and its adjustments are described in setting it up.
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. Katers pendulum physics 258259 katers reversible pendulum is used to complete a precision measurement of the local acceleration of gravity in storrs connecticut. 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. 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. A reversible pendulum is a special design of a normal physical pendulum. Students test different pendulums to see how different factors, such as mass or pendulum. A physical pendulum with two adjustable knife edges for an accurate determination of g. The goal of the exercise is to measure the acceleration due to gravity, g, with an accuracy approaching 1 part in 104. The guidelines of the project are quite loose with my the only real constraint being that katers pendulum must be employed to some end. 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.
Kater s innovation was to realize that, if one built an asymmetrical, doubleended pendulum as is shown schematically in fig. The reversion pendulum was developed by henry kater. Our experiment may be similar to one you have done in high school, however, the mathematical analysis will be more. Katers pendulum should yield a value precise to three significant figures. 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. To understand what he did, we will first look at simple pendula and then we will develop katers result. Compound pendulum the compound pendulum, which is also known as the physical pendulum, is an extension of the simple pendulum. The physical pendulum is any rigid body that is pivoted so that it can oscillate freely. Pdf the cubic perioddistance relation for the kate reversible. Acceleration due to gravity g by katers pendulum object. The simple pendulum university of colorado boulder. The purpose in this lab is to use a ballistic pendulum to find its initial velocity of a projectile using the conservation of momentum as well as the.
For example, its hard to estimate where exactly the center of the mass is. Katers pendulum definition of katers pendulum by merriam. The period for this arrangement can be proved 2 to be the same as that of a simple pendulum whose length l is the distance between the two knife edges. To plot a graph between the distance of the knifeedges from the center of gravity and the time period of a bar pendulum. To determine the value of acceleration due to gravity at a place with the help of katers pendulum. It has a large mass near the end on one side, and a small her mass near the other end. Buoyancy correction for a kater pendulum closed ask question asked 6 years, 4 months ago. Bessels improved kater pendulum in the teaching lab. Katers pendulum full explanation determination of g. To overcome this difficulty we can turn a physical pendulum into a socalled reversible katers 1 pendulum. The period of a physical pendulum depends on the moment of inertia of the device which, in practice, is almost impossible to determine accurately. Katers innovation was to realize that, if one built an asymmetrical, doubleended pendulum as.
Pendulum rod with two fulcra plus one sliding and one fixed disc. Katers pendullum experiment short notes and procedure free download as pdf file. Special form of physical pendulum for determining local acceleration due to gravity g. The accurate measurement of g using kater s pendulum, u. 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. The kater s pendulum is used to measure the acceleration due to gravity more accurately. This is a weight or bob on the end of a massless cord suspended from a pivot, without friction. The pendulum sits on one of two knifeedged pivots that is attached to the. In this video we will discuss the bsc experiment katers pendulum. Feb 15, 2015 homework statement hey guys, so im doing the an exercise on the kater s pendulum, to calculate g. Katers pendulum is an example of compound pendulum, which is used to determine the value of g and has many other applications. Pdf physical pendulum a simple experiment can give.
Detailed side view of the kater pendulum not to scale. The equipment is a model of a socalled reversion pendulum. Measurement of the acceleration of gravity using katers. The simple pendulum is a favorite introductory exercise because galileo s experiments on pendulums in the early 1600s are usually regarded as the beginning of experimental physics.
To determine the value of g at niser using a reversible pendulum. Katers pendulum amrita vishwa vidyapeetham virtual lab. Work out the local acceleration due to gravity with the help of a reversible pendulum. The experiment a practical difficulty with the basic design shown in fig. Set up katers pendulum, making sure it swings freely. From the graph, find a the acceleration due to gravity. When given an initial push, it will swing back and forth at a constant amplitude. This is placed at a distance l from the pivot where l is given.
Additional equipment may be requested and the purpose is completely up to me. We describe a bessel pendulum for use in the teaching laboratory, and measurements of the local. The katers reversible pendulum is a special form of physical pendulum designed to determine the acceleration in response to gravity. If its just some random bar pendulum, then a katers pendulum is enormously better, because it incorporates a bunch of clever ideas to make the effective length easy to measure. Langley physics department, university of massachusetts, amherst, massachusetts 01003 received 9 november 2000. The beauty of this experiment is that it allows us, using relatively simple apparatus, to measure a physical quantity very accurately indeedwe hope, to within a few parts in 10,000. Tantrigoda abstract the acceleration due to gravity is normally determined.
The simple gravity pendulum is an idealized mathematical model of a pendulum. Katers pendulum was used to determine local acceleration due to gravity by measuring the period. Pdf a simple experiment with a physical pendulum examining some aspects of. 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 to derive from a compound pendulum the relationship among the swing period, the amplitude, the angular moment of inertia, and the acceleration of gravity. A physical pendulum is a rigid body swing in a vertical plane about any horizontal axis passing. Bessels improved kater pendulum in the teaching lab d.
Am2 katers reversible pendulum lock haven university. Be sure that the pendulum swings straight through the gate. Kater s measurement was used as britain s official standard of length see below from 1824 to 1855. The pendulum shown lying down, above is hung vertically and pivots on a knife edge that rests on glass. Firstly, it is a comprensive quantitative study of one physical system, the pendulum, from the viewpoint of elementary and more advanced classical physics, modern chaotic dynamics, and quantum mechanics. Moreover, the pendulum is provided with wedgeshaped knives o 1 and o 2, so that we can hang it on a vertical rigid. 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.
Find out information about kater s reversible pendulum. Tantrigoda abstract the acceleration due to gravity is normally determined in elementaryphysics laboratories using the compound. Task 2 the experiment three pendulums are provided. Purpose in this experiment, we use a kater pendulum to measure the acceleration due to gravity, g, in our location in seattle, wa, and compare it to the accepted value, as well as the value we obtained in our previous experiment with the simple pendulum. Shift the weight w 1 to one end of katers pendulum and fix it. When the pendulum is not between the two, the receiver sees light, and the output of the circuit is 5 volts. Katers pendulum is a pendulum that consists of a steel arm with a length of about one and a half meters. Pdf we describe the correct cubic relation between the mass configuration of a kater reversible pendulum and its period of oscillation. Each of the sliding objects can be clamped in place on the rod. The period is the same as an ideal simple pendulum isp. Using a pendulum to teach experiment design and error.
It is a compound pendulum constructed on the principle that centre of oscillation and centre of suspension are interchangable. Katers pendullum experiment short notes and procedure pendulum. A kater pendulum built of available parts, as described below. Background katers pendulum is the name given for a reversible swinging pendulum first. A case study in physics is a unique book in several ways. The principle of reversible katers pendulum and why its. 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.
Our pendulum therefore has three masses in addition. To determine the value of acceleration due to gravity with katers pendulum. Reversible pendulums known technically as convertible pendulums employing kater s principle were used for absolute gravity measurements into the 1930s. Katers pendulum thomas markovich and kapil chhabria departments of physics university of houston houston, tx 772045006 dated. Suspend the pendulum about the knife edge 1 and take the time for about 10 oscillations. Adjustment of katers reversible pendulum for equal periods of oscillation. Measurement of youngs modulus by bending of beam method.
The principle of reversible katers pendulum and why its rods ends are pointed thread. Katers pendulum, stopwatch, meter scale and knife edges. In this video we will give the example how we complete the experiment with some example this is original video. 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 positions in order to change the position of center of gravity of the pendulum. In 1818, henry kater devised the reversible kater s pendulum to measure gravity, and it became the standard measurement for gravitational acceleration over the next century. It is able to swing from either of two mounting points and can be. Consider a physical pendulum with two supports that lie along a line through the center of mass, as shown in figure 1. New technologies of the twentieth century replaced most pendulum devices, but their sporadic use continued into the 1970s. Real pendulums are subject to friction and air drag, so the amplitude of their swings declines. Measurement of moment of inertia of different bodies and proof of parallel. The kater pendulum is a gravimeter, an instrument used to measure the acceleration of gravity anywhere on the planet. The katers pendulum used in the instructional laboratories is diagramed below and its adjustments are described in setting it up. The katers pendulum works as a reversible and adjustable compound pendulum.
Two knifeedge pivot points and two adjustable masses are positioned on the rod so that the period of. Physics pendulum lab report college homework help and. A katers 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. Introduction katers pendulum consists of a long bar and two masses which are attached to the bar. To determine an accurate value for g in the lab here in sheffield and compare it. The following formula is used for the determination of acceleration due to gravity g. The role of the pendulum in tertiary physics studies third year physics students are very familiar with certain aspects of. A gravity pendulum designed to measure the acceleration of gravity and consisting of a body with two knifeedge supports on opposite sides of the center of mass explanation of kater s reversible pendulum. The kater s pendulum used in the instructional laboratories is diagramed below and its adjustments are described in the setting it up section. You can download this mathcad worksheet file to do this process easily. By adding a second knifeedge pivot and two adjustable masses to the physical pendulum described in the physical pendulum demo, the value of g can be determined to 0.
Which pendulum is better to determine the value of g. Measurement of the acceleration of gravity using katers pendulum. Its advantage is that, unlike previous pendulum gravimeters, the pendulums centre of gravity and center of oscillation do not have to be determined, allowing a greater accuracy. A reversible pendulum, knife edges, support stands, photodetectorstop watch, measuring tapescale. 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. Katers pendulum konstantinos filippakos the use of. What it shows an important application of the pendulum is the determination of the value of the acceleration due to gravity. An absolute determination of the acceleration of gravity. Background katers pendulum is the name given for a reversible swinging pendulum first invented by the british physicist henry kater two.