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

The purpose of this experiment was to create a model that showed the motion of a spinning body and to test the accuracy of said model. The model was created by calculating the measurements of the orbital period of a stopping mass for six varying mass ratios and then comparing them to the model equation derived from the equation for centripetal force. The primary results of the lab were in agreement with the predicted values, therefore our degree of confidence in our data was high.

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

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.

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.

Hypothesis: If the stiffness of the spring increase, then the displacement of the bob from the equilibrium point will decrease proportionally, since as the spring getter stiffer, there is more tension that held the bob from the spring, which decrease the amount of distance that the bob travels from the equilibrium point. A stiffer spring also increase the natural frequency, so when we increase the stiffness of the spring, the period of oscillation is shorter, the amplitude is smaller and the speed max is smaller, which shows less displacement.

The ratio between the time and where the pendulum is confuses people the most. People found the sine factor to be confusing so Foucault made the gyroscope in 1852 to try and help them understand the concept of time with the pendulum. The gyroscope’s spinning rotor tracks the stars directly. Its axis of rotation turns once per day whatever the latitude, unaffected by the sine factor.

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).

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.

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.

The objective of this practical is to determine acceleration due to gravity ‘g’ using the simple pendulum model. This is shown when a period of oscillation is seen to be independent of the mass of the mass ‘m’.

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

The time for one oscillation was found by dividing the amount of oscillations (20) done by the time taken for them= 31.4720 = 1.57s