Does the Length of the Pendulum affect the number of swings ?

Materials:
•string ,tape ,washer
•Stop watch
•Meter stick, paper ,pencil

Introduction :

I am doing a study to find out if the length of a Pendulum will affect the number of swings. We usually see pendulums in Grandfather clocks. It is the weight that swings back and forth. I will be changing the length of the string ,but never the weight .

Hypothesis:

I am going to say, that while doing this experiment that as the length of the string decreases , the speed of the pendulum will increase.

Procedure:

1. Got my string and measured the lengths . I marked the string at 80c ,70cm, 60cm all the way to 30 cm. This makes it easier to keep working . 2. Find a table that has a hang over on the side. This way the pendulum can swing freely. 3. Tape the string to the top of the table. Tie a knot at the end of the string and place the washer in the knot. 4. Get someone to help you with the stop watch. Set it for one minute. Now, pull the string back at 10 cm and let go. Do not push the pendulum just let it go freely. Count the complete swings out and back makes one complete swing. 5. Write down the number of swings per minute.

6. Contiunue until you have reached the 30 cm mark .

Data:

The pendulum experiment gave the following results.

Pendulum Length Number of Complete Swing in one minute
80 cm
8 swings in 14 seconds
70 cm 9 swings in 11 seconds
60 cm12 swings in 12 seconds
50 cm13 swings in 13 seconds
40 cm15 swings in 14 seconds
30 cm17 swings in 15 seconds

Conclusion:

So, in this experiment , I am changing the length of the pendulum to determine if the number of swings will...

...Is gravity always 9.8m/s2??
INTRODUCTION: A simple pendulum consists of a mass m swinging back and forth along a circular arc at the end of a string of negligible mass. A pendulum is a weight suspended from a pivot so that it can swing freely. Gravity is the pull that two bodies of mass exert on one another. There are several simple experiments that will allow you to calculate the acceleration due to gravity of a falling object. A simple pendulum can determine this acceleration. The only variables in this experiment are the length of the pendulum (L) and the period of one full swing of the pendulum (T). In this case the independent variable represents the length of the string and the dependent variable represents the period of one oscillation. The control variable is the mass of the pendulum. In this lab our goal was to see if we can prove if the acceleration due to gravity is 9.8m/s2. The R2 in this lab is closed to 9.8 m/s2 . The formula that we used in this lab is T=2πLg and then we solved for g=L(T2π)2.
HYPOTHESIS: The gravity will be 9.81 m/s2 at sea level due to the acceleration.
PROCEDURE:
Materials: stopwatch, meter stick, support stand, string, mass (200g), rod clamp, protractor.
Safety: Be careful not to drop any of the heavy materials or to hit somebody near you by using them.
1. Set up the support stand on a flat surface.
2. Tie to mass at the end of the string...

...UNIVERSITY OF TRINIDAD AND TOBAGO
Point Lisas Campus, Esperanza Road, Brechin Castle,
Couva, Trinidad, W.I.
Program: National Engineering Technician Diploma
Course code: ENSC 110D
Class: Petroleum
Lab Title: Pendulum with a yielding support
Instructor: Mrs. Sharon Mohammed
Full time
Name: Kirn Johnson
Student ID: 58605
Date: 28/10/2012
Title
A Pendulum with a yielding support
Table of Contents
1. Abstract
2. Objectives
3. Theory
4. Apparatus / Materials
5. Procedure / Method
6. Results / data
7. Analysis / Data
8. Conclusion
9. Reference
Abstract
Intent: To conduct an experiment to prove the yielding support distance is directly proportional to the period.
Results:
d(m) | Time for 20 Oscillations (s) | Time for 1 Oscillation T (s) | T2(s2) | d3(m2) x 10-3 |
| 1 | 2 | 3 | Average | | | |
0.24 | 31.50 | 31.47 | 31.44 | 31.47 | 1.57 | 2.46 | 13.8 |
0.21 | 31.0 | 30.97 | 31.09 | 31.02 | 1.55 | 2.41 | 9.2 |
0.l8 | 30.56 | 30.69 | 30.69 |...

...design a system that would test if changing the mass, angle of release and length would have any effect on the period of a pendulum.
Hypothesis
As the length, mass and angle of release change, the period (T) will change for each one of these factors.
Materials
Lab stand
Protractor
Cardboard
Fishing line
Stopwatch
Weights
Hook for weights
Tape
Ruler
Weighing scale
Logger Pro
Variables
Independent
Angle of release
Dependent
Period
Length of string
Mass of bob
Design
Procedure
First you have to set the lab up as seen above. Draw the protractor on a piece of paper and stick this piece of paper on a cardboard board. Attach this cardboard board to the lab stand with ductape. Attach the string to the lab stand and add the hook with mass to the string.
Then you can start testing the affect of change when the angle of release changes. Look at your protractor and release the pendulum at an angle of 10º. Press the timer as you let go and stop the timer as the bob made a complete cycle. Do this two more times so you have three trials for the release angle of 10º. Then make the angle of release 20º and do three trials again. Change the angel of release with 10º each time for 5 trials.
After testing the affect of change in the angle of release you can start testing the effect of change when you change the length of the pendulum. Start with any length and every time add a constant amount of extra...

...Report : Experiment One
Title: Determination of the acceleration due to gravity with a simple pendulum
Introduction and Theory: A simple pendulum performs simple harmonic motion, i.e. its periodic motion is defined by an acceleration that is proportional to its displacement and directed towards the centre of motion. It can be shown that the period T of the swinging pendulum is proportional to the square root of the length l of thependulum: T2= (4π2l)/g
with T the period in seconds, l the length in meters and g the gravitational acceleration in m/s2. Our raw
data should give us a square-root relationship between the period and the length. Furthermore, to find an accurate value for ‘g’, we will also graph T2 versus the length of the pendulum. This way, we will be
able to obtain a straight-line graph, with a gradient equal to 4π2g–1.
Procedure: Refer to lab manual.
Measurement / Data:
Length of Pendulum ( l +/- 0.1 cm) | Time for 20 Oscillations (s) | Time for 1 Oscillation (Periodic Time) T (s) | T^2 ( s^2) |
| 1 | 2 | Mean | | |
35 | 24.00 | 23.87 | 23.94 | 1.20 | 1.43 |
45 | 26.50 | 26.75 | 26.63 | 1.33 | 1.77 |
55 | 29.94 | 29.81 | 29.88 | 1.49 | 2.23 |
65 | 32.44 | 32.31 | 32.38 | 1.62 | 2.62 |
75 | 35.06 | 35.00 | 35.03 | 1.75 | 3.07 |
85 | 37.06 | 36.87 | 36.97 | 1.85 | 3.42 |
95 | 39.25 | 39.19 | 39.22 | 1.96 | 3.85 |...

...CENTRIPETAL FORCE ON A PENDULUM
OBJECTIVE
To measure centripetal force exerted on a pendulum using the force sensor bob and in so doing compare this value determined by force calculations based on the height of the pendulum.
THEORY
Newton’s laws of motion are the basis for this experiment. Newton’s first law of motion states that a body in motion will remain in motion unless acted upon by an external force. Newton’s second law of motion states that the rate of momentum of a body is dependent on the product of its mass and acceleration. Where rate of change of momentum is given by
=
A pendulum bob follows a circular path and is therefore acted upon by centripetal force. In this experiment the tension in the string causes the bob to follow a circular path. From Newton’s second law of motion above it is related to the experiment as shown
= T- mg =ma =
Where T is the tension in the string
m is the mass of the pendulum
g is acceleration due to gravity
is the centripetal force
The force measured by the force sensor when the pendulum passes through the lowest point of the swing is equal to centripetal force. This is because the force sensor is zeroed when the pendulum is at rest in its equilibrium position, where T= mg.
Centripetal force can also be found from the relationship below using the speed, v, when the bob passes through the lowest point
=...

...The Simple Pendulum
Objective and Background
Objective:
The Objective of this experiment is to examine the simple harmonic motion and to determine the value of the acceleration due to gravity from the analysis of the period of the simple pendulum. [1]
Background:
There are three equations that will be used to calculate the period of motion of the simple pendulum. They are the slope of the line of the graph of T² against L, and the gravity of the pendulum motion. The period of the motion is the time needed for one complete cycle that a pendulum bob swing from the initial position to the other end, and then back to the initial position. [1] The equation to calculate period is,
T = 2πLg
Where,
T = Period of the motion, measured in s.
L = Length of the pendulum, measured in cm.
g = Acceleration due to gravity, measured in m/s2.
The slope of the line in the graph of T² against L can be used to determine the gravity of the pendulum motion. It is because,
y = mx
m = T² L= 4π²g
m = Slope of the line in the graph T²/L.
Therefore, to find the gravity of the pendulum motion, we can use the slope of the graph.
The slope of the graph is given by the formula,
g = 4π²m
g = Acceleration due to gravity, measured in m/s².
Procedure and Observations
Materials:
* String
* Metre Stick
* Stop watch
* Stand
*...

...Using a simple pendulum to find the acceleration due to gravity/g
Task 1
Aim: To find the acceleration due to gravity/g
Objective: To find the relationship between the length of simple pendulum and the period oscillation
Hypothesis: The longer the length of the simple pendulum, the longer the period of oscillation will take.
Variables:
a) Independent- the length of the pendulum;
b) Dependent- the time it takes for 20 oscillations;
c) Control - the mass of pendulum.
Task 2
References
Ruslawati (Tuesday, 15 January 2013) Using a simple pendulum to find the acceleration due to gravity/g[Online]
Available: http://fizik-ruslawati.blogspot.co.uk/2013/01/simple-pendulum-experiment.html,[24/10/2013]
R Nave(Tuesday, 1 august2013) Simple Pendulum[Online]
Available: http://hyperphysics.phy-astr.gsu.edu/hbase/pend.html#c2,[24/102013]
Task 3
Equipment/Apparatus:
Retort stand
Pendulum bob
Thread
Metre rule
Stop watch
Method
1) Set up the apparatus as shown in the picture above; a small brass bob must be attached to a piece of thread. And the thread must be held by a clamp of a retort stand as you can see in the picture.
2) The length of the thread must be measured by a metre rule, starting with the first measurement 0.9metres. The bob of the pendulum must be displaced in...

...-------------------------------------------------
Pendulum
From Wikipedia, the free encyclopedia
This article is about pendulums. For other uses, see Pendulum (disambiguation).
"Simple gravity pendulum" model assumes no friction or air resistance. |
An animation of a pendulum showing the velocity and acceleration vectors (v and a). | |
A pendulum is a weight suspended from a pivot so that it can swing freely.[1] When a pendulum is displaced from its restingequilibrium position, it is subject to a restoring force due to gravity that will accelerate it back toward the equilibrium position. When released, the restoring force combined with the pendulum's mass causes it to oscillate about the equilibrium position, swinging back and forth. The time for one complete cycle, a left swing and a right swing, is called the period. A pendulum swings with a specific period which depends (mainly) on its length.
From its discovery around 1602 by Galileo Galilei the regular motion of pendulums was used for timekeeping, and was the world's most accurate timekeeping technology until the 1930s.[2] Pendulums are used to regulate pendulum clocks, and are used in scientific instruments such as accelerometers and seismometers. Historically they were used as gravimeters to measure the acceleration of gravity in geophysical surveys, and...