Determining The Gravity ( G ) On The Period ( T ) Of Oscillation Pendulum

The clock would lose time because as the value of g decreases, the period increases.

The first pendulum clocks had a width of range 100 degrees and analysts wanted to increase that range but Huygens showed that increasing the range of pendulum swing will decrease its accuracy. Then clockmakers realized that only pendulums with small range of swing of a few degrees are isochronous.

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

Theory: During the early part of the seventeenth century, Galileo experimentally examined the concept of acceleration. One of his goals was to measure the acceleration due to gravity, or the acceleration of freely falling objects. Unfortunately, his timing devices were not precise enough to measure the free fall time directly. He decided to “dilute” gravity by using fluids, inclined planes, and pendulums.

I chose to do my project on the Foucault Pendulum because it seemed interesting and I had seen a model at the Griffith Observatory when I visited there. I am also taking physics this year as well as chemistry and have learned a little bit about the Foucault Pendulum but I wanted to do more research beyond that. What I found was very interesting. Leon Foucault invented the pendulum in 1851 which was first actual proof of the rotation of the earth. In general, the direction of the plane of oscillation of a pendulum rotates with an angular

Purpose: To examine the motion of a free falling object by using a picket fence dropped through a Photogate and using the slope of a velocity vs time graph to verify the acceleration of the Earth’s gravity (9.8 m/s²).

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.

While he was at the university he was working and examining the pendulum. His interest of learning how the pendulum worked began while he was watching a lamp swing back and forth at the cathedral; however he did not discover how the actual pendulum worked until 1602. He discovered that the period, or the time in which the pendulum swings back and forth does not depend on the shape of the arc on the swing. After he discovered how the pendulum worked, he came up with the idea of the pendulum clock. Due to some financial difficulties he was going through he was forced to withdraw from the university in 1585 before he could earn his degree. After leaving the University Of Pisa he continued to study mathematics on his own and supported himself by getting small teaching jobs. During this time, Galileo started and worked on his two decade study on objects and their motions. He published a book named The Little Balance, in which he explained and described the hydrostatic principles of weighing small objects, which meant

Kassandra Whiteford Dr. Ruzhitskaya Foucault Pendulum Experiment 1-30-18 Support of Foucault’s Pendulum The Foucault’s Pendulum was named after French Physicist Leon Foucault (Sommeria). He created the experiment to prove that the Earth is in a constant state of rotation. The experiment was simple, a Pendulum was created with a weight on the end of a wire which was attached to a fixed point on the ceiling, once set in motion it continued to move and slowly rotated its position.

CHAPTER 1 INTRODUCTION This project is based on the short story “The Pit and the Pendulum” by Edgar Allan Poe. The story describes a prisoner being tied up on the floor with a pendulum shaped like a crescent razor descending towards him. In this story the author describes that the pendulum’s ‘sweep was brief and of course slow’, but then as the pendulum descended downwards, ‘the sweep...had increased by nearly a yard...its velocity also was much greater’, until it covered a ‘terrifically wide sweep some thirty feet or more’. That is , Poe describes that the path of the pendulum increases with increase in swinging velocity. We shall set up and see the model of a descending pendulum and match the mathematical results with Poe’s pendulum. CHAPTER 2 MODELING OF A DESCENDING PENDULUM BASED ON NEWTON’S LAWS fig 1.Descending Pendulum in Newtonian Mechanics We assume that the length of the wire at a given time as L(t). The angle that the wire of the

The purpose of this experiment is to test an Independent variable by collecting experimental data and its corresponding Dependent data. In this experiment it was tested what happens to a dynamic trolley or skateboard as different experimental variables are applied. Those experimental variables were different weights. Which means that this experiment is about the physics principles of the laws of motion and the inclined plane. The laws of motion are called newtons laws.

2. The time taken for the pendulum to complete 20 oscillations was found and recorded.

A double pendulum is a pendulum with a three hundred and sixty degree hinge in the middle of a line. this system, when moving, swings in a random and unpredictable pattern. The first segment of the line moves the same as any other pendulum except when pulled by the motion of the second segment. This pushing, pulling combined with the swing causes a random motion. The motion is so unpredictable that when two double pendulums of identical size are started at the same point and time they will not follow the same swinging pattern.

This was later shown to be purely mechanical, though, with the swinging of the heaviest pendulum merely rocking the shelf a little and throwing off the beat of other clocks (1).

The Duffing Oscillator named by the German electrical engineer Georg Duffing is a non-linear, second-order differential equation, periodically forced and includes a damping term proportional to particle’s velocity. The equation can show different types of oscillations such as a limit cycles and chaos. Given its characteristics Duffing oscillators are often used to produce similar behaviours in nature. The equation in this experiment has been studied through the dynamics of a particle under a potential field, driven by an applied periodical force. The equation of motion for the particle in this system is