Pdf the cubic perioddistance relation for the kate reversible. Measurement of the acceleration of gravity using katers. Katers pendullum experiment short notes and procedure scribd. The simple pendulum university of colorado boulder. It has a large mass near the end on one side, and a small her mass near the other end. The principle of reversible katers pendulum and why its. The bessel pendulum is a reversion pendulum that with respect to.
Feb 15, 2015 homework statement hey guys, so im doing the an exercise on the kater s pendulum, to calculate g. To determine the value of acceleration due to gravity with katers pendulum. Katers pendulum full explanation determination of g youtube. Measurement of youngs modulus by bending of beam method. A physical pendulum with two adjustable knife edges for an accurate determination of g. Click on stop button under variables, for the pendulum to stop oscillating. Background katers pendulum is the name given for a reversible swinging pendulum first.
Thus, if the length of a pendulum is increased by a factor of 4, the period is only doubled. 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. Reversible katers pendulum harvard natural sciences. We also discuss a real compound kater pendulum that realizes this property. 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. The goal of the exercise is to measure the acceleration due to gravity, g, with an accuracy approaching 1 part in 104. The kater pendulum side 1 background people have been using pendulums as an easy and accurate way to measure the acceleration due to gravity for hundreds of years. Simple pendulum experiment report compound pendulum experiment coupled pendulum experiment simple pendulum the pit and the pendulum pendulum the power of the pendulum traders pendulum pendulum dowsing fintech watch the pendulum the power of the pendulum lethbridge yugioh rulebook pendulum the checkmate pendulum. They match up if the reversible pendulum is configured in such a way that the period of oscillation is the same for both mounting points.
Katers pendulum is a pendulum that consists of a steel arm with a length of about one and a half meters. Recall that the formula for the period of a physical pendulum is t2. Lab 2 katers pendulum final lab 2 katers pendulum phys. The total length was measured by holding the meter stick up against the aluminum bar, and measuring from the pivot point to the bottom of the bob. Bessels improved kater pendulum in the teaching lab. Measure the period using the stopwatch or period timer. Katers pendulum 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.
The actual experiment is based on the simple pendulum. When the pendulum is adjusted so that the frequencies of small oscillations about the two pivots are. Play with one or two pendulums and discover how the period of a simple pendulum depends on the length of the string, the mass of the pendulum bob, the strength of gravity, and the amplitude of the swing. Acceleration due to gravity g by bar pendulum object. 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. When a pendulum is displaced sideways from its resting, equilibrium position, it is subject to a restoring force due to gravity that will accelerate it back toward the equilibrium position. In practice, the movable mass is divided into two or more elements to enable coarse and fine adjustment. Consider a physical pendulum with two supports that lie along a line through the center of mass, as shown in figure 1. In this case, the period of oscillation t is given by 7. Am2 katers reversible pendulum lock haven university. Laboratory physics, a students manual for colleges and scientific schools. The reversion pendulum was developed by henry kater. Katers pendulum amrita vishwa vidyapeetham virtual lab.
Repeat the experiment by changing the values in variables region. Moreover, the pendulum is provided with wedgeshaped knives o 1 and o 2, so that we can hang it on a vertical rigid. To determine the value of acceleration due to gravity and radius of gyration using bar pendulum. The period increases as the square root of the length. From the graph, find a the acceleration due to gravity. Measurement of the acceleration of gravity using katers pendulum. Determining the acceleration due to gravity with a simple. Katers pendulum definition of katers pendulum by merriam. Pendulum lab periodic motion simple harmonic motion. The reversible pendulum katers pendulum has two pivot points on opposite sides of the centre of gravity from which the pendulum can be suspended as shown in fig.
Distance between the centre of mass cm of the pendulum and the ao. The pendulum 1 introduction instructional physics lab. To plot a graph between the distance of the knifeedges from the center of gravity and the time period of a bar pendulum. Kater s innovation was to realize that, if one built an asymmetrical, doubleended pendulum as is shown schematically in fig. Physics practical katers pendulum hi friends, in this video we will learn about katers pendulum. It also includes an extra pivot and discshaped mass so you can convert it for use as a katers pendulum. Physics practical simple pendulum experiment duration. The simple pendulum experiment 2064 words 123 help me. 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. A simple pendulum consists of a small body called a bob usually a sphere attached to. In this experiment, i am going to be measuring the effect of two variables on the time of one oscillation of a simple pendulum.
In the experiment, matching of the reversible pendulum is accomplished by moving a weight of. 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. Katers pendulum konstantinos filippakos the use of katers. 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.
Consult these references for the theory and experimtal methods before doing the experiment. The experiment a practical difficulty with the basic design shown in fig. Additional equipment may be requested and the purpose is completely up to me. The simple pendulum experiment general plan the first thing i am going to do is outline a general plan for this experiment. The following formula is used for the determination of acceleration due to gravity g. The official youtube channel of harvard natural science lecture demonstrations. The pendulum can oscillate on either of two knifeedge suspension points as shown in fig. Nov 23, 2017 how to do kater s pendulum experiment and the required readings for this practicle. Katers pendulum full explanation determination of g. The pendulum shown lying down, above is hung vertically and pivots on a knife edge that rests on glass.
A katers pendulum is a reversible free swinging pendulum invented by british physicist and. The apparatus for this experiment consists of a support stand with a string clamp, a small spherical ball with a 125 cm length of light string, a meter stick, a vernier caliper, and a timer. Record the length of the pendulum in the table below. Moment of inertia with respect to the axis of oscillation ao. While it is easy to accurately measure the period of a pendulum, it was difficult to very.
Our pendulum therefore has three masses in addition. Rev 01 january 31, 2007 the pendulum laboratory 1, physics 15c due friday, february 16, in front of sci cen 301 1 introduction most oscillating systems behave like simple harmonic oscillators for su. This approximation can be applied to topics in many areas of physics. Feb 16, 2012 kater s pendulum was used to determine local acceleration due to gravity by measuring the period. 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. Help with determining errors on katers pendulum experiment. Its advantage is that, unlike previous pendulum gravimeters, the pendulum s centre of gravity and center of oscillation do not have to be determined, allowing a greater accuracy.
Purpose the purpose of this experiment is to analyze the relationship between the period of a kater pendulum, t. What it shows an important application of the pendulum is the determination of the value of the acceleration due to gravity. 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 should yield a value precise to three significant figures. 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. Theory a kater pendulum was used to carry out this experiment that consisted of two masses. Introduction katers pendulum consists of a long bar and two masses which are attached to the bar. The intersection of these lines gave us a period and position of bob a that corresponded to the placement of bob a such that the period from either pivot would be equal. Shift the weight w 1 to one end of katers pendulum and fix it. The pendulum sits on one of two knifeedged pivots that is attached to the wall and allows it to oscillate easily without much disturbance.
It is the center of percusssion, and not the center of mass c. Katers pendulum, stopwatch, meter scale and knife edges. Bessels improved kater pendulum in the teaching lab d. For this reason, the pendulum was designed to have a period close to, but not exactly, 2 seconds. Read the two american journal of physics papers and come prepared to answer. Find out information about kater s reversible pendulum. To understand what he did, we will first look at simple pendula and then we will develop katers result. Measure the length of the pendulum to the middle of the pendulum bob.
The general formula of the time period for bar pendulum is given by following equation. Moreover, the pendulum is provided with wedgeshaped knives o 1 and o 2, so that we can hang it on a. The time for ten complete oscillations of the pendulum is measured using the stopwatch. 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. Click on show measurements checkbox to get the value of h 1 and h 2. The guidelines of the project are quite loose with my the only real constraint being that kater s pendulum must be employed to some end. 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.
The relationship between shm and gravity is evaluated using the katers pendulum, as well as understanding shm in a mass spring system. Using a pendulum to teach experiment design and error. Measurement of moment of inertia of different bodies and proof of parallel axis theorem. You can download this mathcad worksheet file to do this process easily. Experiment 6 katers pendulum the period tof a physical pendulum is given by t 2. 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. This pendulum includes an additional spherical mass that. The errors taken into account are just on the kater period t and the distance between the two pivot points l. Homework statement hey guys, so im doing the an exercise on the katers pendulum, to calculate g. 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 gravity by means of the period of oscillation.
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. Suspend the pendulum about the knife edge 1 and take the time for about 10 oscillations. The simple pendulum is composed of a small spherical ball suspended by a long, light. Katers pendulum is an example of compound pendulum, which is used to determine the value of g and has many other applications. With the help of a lab partner, set the pendulum in motion until it completes 30 to and fro oscillations, taking care to record this time. Task 2 the experiment three pendulums are provided. In this experiment, a compound pendulum with a fixed axis of oscillation but with a movable mass is used to study the dependence of. A simple experiment with a physical pendulum examining some aspects of rigid body motion is presented in this paper. If the length l between these pivot points and the mass distribution of the pendulum are adjusted appropriately, it is possible to.
The experiment consists of measuring the period of oscillation of a rod with. Katers reversible pendulum is used to complete a precision measurement of the local acceleration of gravity in storrs connecticut. A pendulum is a weight suspended from a pivot so that it can swing freely. Length measurements for the pendulum were taken using a meter stick and caliper. The role of the pendulum in tertiary physics studies third year physics students are very familiar with certain aspects of pendulum behaviour. The katers pendulum works as a reversible and adjustable compound pendulum. The kater s pendulum used in the instructional laboratories is diagramed below and its adjustments are described in setting it up. To determine the value of acceleration due to gravity at a place with the help of katers pendulum. Kater s pendulum 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. Our experiment may be similar to one you have done in high school, however, the mathematical analysis will be more. 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. Pdf physical pendulum a simple experiment can give. The two variables that i have chosen are the length of the pendulum s string and the mass of.
Determining the acceleration due to gravity with a simple pendulum your name advanced undergraduate lab, department of physics and astronomy, university of utah, salt lake city, utah 84112 this is an example of a lab report associated with obtaining the acceleration due to gravity g and applying mathematical models. The objective is to compare the value and accuracy of g using each pendulum in turn. The length of the pendulum, l is measured to 80 cm as per the diagram. Acceleration due to gravity g by katers pendulum object. Physics231lab2 1 lab 2 measurement of g using katers. The caliper was used to measure the diameter of the bob, having an uncertainty of 0. The accurate measurement of g using kater s pendulum, u. To understand what he did, we will first look at simple pendula and then we will develop katers. Pdf we describe the correct cubic relation between the mass configuration of a kater reversible pendulum and its.