• Join over 1.2 million students every month
• Accelerate your learning by 29%
• Unlimited access from just £6.99 per month

Determining acceleration of free fall by of a simple pendulum.

Extracts from this document...

Introduction

Determining acceleration of free fall by of a simple pendulum.

Introduction

In this investigation I am going to use the simple pendulum to determine the value of acceleration of free fall.

The method involves setting pendulums of certain lengths in motion and timing the time taken for ten complete oscillations at that length.

Then using the formula

T = 2π (l/g)

Therefore T2= 4π2l

g

I aim to find the value of acceleration of free fall from the gradient of a graph of T2against l. From the above equation I hope to get a straight line graph with a positive gradient passing through the origin.

As I hope to get a straight line graph the equation of the line will be in the form of

y = mx + c

But since the graph will pass through the origin my c = 0

If the above formula is then re-arranged as follows

T2= 4π2

lg

but T2= gradient for the graphof T2against l

l

Therefore it follows that gradient = 4π2

g

Thus the acceleration of free fall (g) will be given by the equation below

g =     4π2__

My variables are length of pendulum (l), time for oscillations (

Middle

After doing the above process I entered my data in the raw data table below.

Raw data

 Raw data measure Pendulum length (L/m). Uncertainty ± 0.0005 m Time for 10 oscillations (T/s) Uncertainty ± 0.001s Time for 1 oscillations (T/s) Uncertainty ± 0.001s T2 (T/s) Uncertainty ± 0.002s 1 0.95 19.72 1.972 3.89 2 0.90 19.22 1.922 3.69 3 0.85 18.78 1.878 3.53 4 0.80 18.16 1.816 3.30 5 0.75 17.66 1.766 3.12 6 0.70 17.03 1.703 2.90 7 0.65 16.53 1.653 2.73

I then plotted a graph of time2 against length using the values shown in the table above using graphing software. The uncertainty for the length and time are relatively small hence I will ignore them in my graph.

Graph of time squared (T2/s)

Conclusion

• I would like to carry out the procedure of timing the oscillation at different pendulum lengths, for a greater number of times so as to obtain more data whose average I can use in the calculations to obtain a more accurate answer.
• I would also like to time a greater number of complete oscillations when the pendulum bob is set in motion so as to reduce errors that may have arisen due to my reaction time.
• I would also like to carry out the procedure again with a different set of apparatus, so as to eliminate the systematic error that arose in this experiment.
• Finally I would recommend that a heavy mass be placed on the stand holding the pendulum bob, so that it does not dangle when the pendulum bob oscillates thus leading to a more accurate answer.

This student written piece of work is one of many that can be found in our International Baccalaureate Physics section.

Found what you're looking for?

• Start learning 29% faster today
• 150,000+ documents available
• Just £6.99 a month

Not the one? Search for your essay title...
• Join over 1.2 million students every month
• Accelerate your learning by 29%
• Unlimited access from just £6.99 per month

Related International Baccalaureate Physics essays

1. Physics Extended essay

Shows the bob hanging at some distance 'x' cm and the distance measured y1 cm 13 Image 4. Nylon String used 30 Image 5. Elastic Band used 30 Tables Table 1 Shows point of application of force (x), y and tension calculated for lengths 140 cm and 144 cm 15

2. Investigate the factors affecting the period of a double string pendulum

horizontal components of the graph or the relationship between the distance l and the period or the frequency of the metal bar) From my recorded values throughout the experiment, the graph and the analysis of each graph or table I was able to find a reasonable conclusion to my investigation.

1. Analyzing Uniform Circular Motion

The second major source of error is the reaction time. The fact that only two trials were taken, it is not enough to eliminate the idea of a random error.

2. Suspension Bridges. this extended essay is an investigation to study the variation in tension ...

To keep a constant force, I chose to use a certain constant mass which would be tied to the string and whose position could easily be varied. The point of application of force, that is, the horizontal distance from the rigid support is assigned the independent variable and the tension in the left segment becomes the dependent variable.

1. Lab Report - obtain the frequency of the simple pendulum and to analyze the ...

Observation Tables: The change in the mass or amplitude had no effect on the frequency of simple pendulum but change in length of string would have impact on it. Effect of Change in Mass Constant Amplitude - centimeters (cm) Constant Length - grams (gm)

2. Investigating the Oscillations of an Obstructed Pendulum

The same string should be used throughout the experiment, and no modifications must be made to it. 4. The stand should stay, throughout the experiment, in an upright position and on a stable surface. 5. The obstruction should stay perfectly horizontal throughout the experiment.

1. Investigation into the relationship between acceleration and the angle of free fall downhill

plane; therefore it could be controlled as the length and height changed. The length was measured from the starting point to the ending point of the distance travelled by the cart when it went downhill. The starting point wouldn?t be touching the ground therefore it was harder to get an

2. Light Intensity Investigation

our data was that we were unable to completely block out the background light coming in through the windows. Although one of the control variables was that all background light would be controlled and minimized largely, we were unable to compile with this as the blinds still let majority of the sun light in. • Over 160,000 pieces
of student written work
• Annotated by
experienced teachers
• Ideas and feedback to
improve your own work 