StudentShare
Contact Us
Sign In / Sign Up for FREE
Search
Go to advanced search...

Estimation of the value of gravitational acceleration g based on measurements from a simple pendulum - Essay Example

Cite this document
Summary
It entailed releasing a pendulum at a constant angle, θ, and recording the period, it takes to make 10 complete oscillations. The length was varied to determine the relationship…
Download full paper File format: .doc, available for editing
GRAB THE BEST PAPER96.2% of users find it useful
Estimation of the value of gravitational acceleration g based on measurements from a simple pendulum
Read Text Preview

Extract of sample "Estimation of the value of gravitational acceleration g based on measurements from a simple pendulum"

Download file to see previous pages

The experiment entails releasing a mass that is attached at the end of a string with an initial angle (θ). The angle is so small such that the sin θ can be approximated to just θ making this motion to be simple harmonic. It involves swinging the ball for a given number of oscillations and observing the time it takes to make those oscillations. From that information, we can obtain the time per oscillation. This time taken per oscillation is obtained for different lengths of the string. The relationship 4π2/slope is then used to estimate the value of the acceleration due to gravity, g.

The main aim of the pendulum experiment is to determine the effect that the length of the string has on the period taken by the pendulum to make a complete oscillation. It also aims at determining a relationship between the length and the period and also estimating a value for g. The hypothesis for this experiment is that the value for g obtained by any of the experiments available should be approximately equal to 9.8m/s2. The period taken by the pendulum is independent of the mass of the attached object and the initial angle.

The period depends on the length of the string and the acceleration of gravity (Wilson & Hernández-Hall 2009). 3. Set the pendulum swinging through a small angle. Then, measure the time for the period of oscillations (hint: think of a good method here; measuring the period based on a single oscillation might not be a good idea). The analysis involved plotting a graph of T2 against L. since the graph should be linear, the students used simple linear regression to come up with a linear graph. (Michael, Matthew, Gauld, & Stinner 2010).

The results support the objective of the experiment. The students were able to determine the relationship between T2 and L by plotting the graph and obtaining the gradient. Additionally, they were able to compute the value for the acceleration due to gravity, g, with a relative error of

...Download file to see next pages Read More
Cite this document
  • APA
  • MLA
  • CHICAGO
(“Estimation of the value of gravitational acceleration g based on Essay - 2”, n.d.)
Retrieved from https://studentshare.org/mathematics/1675371-estimation-of-the-value-of-gravitational-acceleration-g-based-on-measurements-from-a-simple-pendulum
(Estimation of the Value of Gravitational Acceleration G Based on Essay - 2)
https://studentshare.org/mathematics/1675371-estimation-of-the-value-of-gravitational-acceleration-g-based-on-measurements-from-a-simple-pendulum.
“Estimation of the Value of Gravitational Acceleration G Based on Essay - 2”, n.d. https://studentshare.org/mathematics/1675371-estimation-of-the-value-of-gravitational-acceleration-g-based-on-measurements-from-a-simple-pendulum.
  • Cited: 0 times

CHECK THESE SAMPLES OF Estimation of the value of gravitational acceleration g based on measurements from a simple pendulum

Simple Harmonic Motoion

The motion of a simple pendulum is one of the phenomena that can be used to approximate the simple harmonic motion.... Studies advanced on a simple pendulum reports that the period value depends on its length.... The hypothesis of this experiment is that increasing the length of the pendulum shall increase the periodic time (T) of a simple pendulum.... Note, Exercise, and Laboratory in a simple pendulum.... simple pendulum,Stop watch,Metre rule, And protractor....
2 Pages (500 words) Lab Report

Estimation of Value of Gravitational Acceleration G Based on Measurements from a Simple Pendulum

m/s widely… Therefore, it is possible to estimate the acceleration due to gravity using a simple pendulum. A point mass that is suspended using a massless string from a fixed point can be ideally described as a pendulum.... The pendulum when set in motion swings back and forth and this The period is deemed to be the duration taken for one complete oscillation.... The frequency can be deemed to be the number of oscillations that the pendulum can make per unit time the inverse of which is the period i....
4 Pages (1000 words) Coursework

The Simple Pendulum

The objective of this experiment was to estimate the value of gravitational force (g), based on measurements obtained from a simple pendulum and comparing it to the value of widely accepted value of 9.... The objective of this experiment was to estimate the value of gravitational force (g), based on measurements obtained from a simple pendulum and comparing it to the value of widely accepted value of 9.... However, the acceleration gravity may vary and as such the experiment of a simple pendulum can be used to determine the acceleration gravity (L09....
4 Pages (1000 words) Essay

Estimation of the Value of Gravitation Force Using Simple Pendulum

The value of gravity computed is compared with the accepted value, and the difference is determined to The use of a simple pendulum experiment in the study of motion helps to provide valuable insights into the acceleration of objects due to the gravitation force.... If a mass of m hangs from the string in a simple pendulum experiment and sets to swing with small amplitude, the mass will oscillate back and forth in a simple harmonic motion.... In view of this, this simple pendulum experiment used the relation between the length applied in the pendulum and the time of oscillation to estimate the value of acceleration due to the gravitation force (Avison & Caribbean Examinations Council, 1988)....
4 Pages (1000 words) Coursework

The Key Principle in the Mechanism of the Oscillation of Systems

The experiment calls for the determination of the value of gravitational acceleration from a good understanding of how a simple pendulum's parameters relate to one another.... For the purposes of this paper, the relevant formula is the one that prescribes the value of the time period, which is given thus (Ji and Bell 2015; Jardine-Wright 2010): In the equation above, the value of T is dependent only on the string length l and g.... The insight from the experiment is in being able to understand the way the oscillating system variables affect each other, as stated in the instructions; how the value of g is derived; and what the measurement errors and the causes of those errors are (Ji and Bell 2015; Jardine-Wright 2010)....
4 Pages (1000 words) Lab Report

Estimation of gravitational acceleration due to pendulim

As such, the main objective of this experiment is to estimate the value of gravitational force acting on the pendulum and compare this value with the widely accepted value of 9.... This estimated value of The use of a simple pendulum experiment in the study of motion helps to provide valuable insights into the acceleration of objects due to the gravitational force.... The period is the time a simple pendulum takes to complete a single oscillation....
4 Pages (1000 words) Assignment

Simple Pendulum

… AbstractThe purpose of this lab experiment is to determine the force of gravity (g) using a simple pendulum.... By use of this experiment, the period of the pendulum was timed and the values were recorded for all the ten different length variations of AbstractThe purpose of this lab experiment is to determine the force of gravity (g) using a simple pendulum.... from a different point of view in simple harmonic motion displacement of an object changes often over time while following similar shape as cosine curve....
5 Pages (1250 words) Assignment

Sample Pendulum

In this case, we will use a simple pendulum to obtain the value for g.... The only things that affected the period of a simple pendulum were the length and the acceleration because of gravity.... The rate at which objects fall from a given height to the surface of the Earth is referred to as the acceleration due to gravity, g.... Where T, is the time taken for one complete oscillation or swing, L, is the length of the pendulum....
2 Pages (500 words) Assignment
sponsored ads
We use cookies to create the best experience for you. Keep on browsing if you are OK with that, or find out how to manage cookies.
Contact Us