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

# Amplitude and period relationship

Extracts from this document...

Introduction

Relationship between amplitude and period  Research Question: How does varying the amplitude of a bowl affect the period of motion of a ball oscillating in a mat?

Introduction

Oscillation is a motion, which repeats itself. A simple harmonic motion is when object moves back and fourth within a stable equilibrium position. In a perfect situation, where friction plays no part the ball will continue oscillating continuously. However in real life this is not possible, instead objects face damping due to friction. Any system which carry’s a harmonic motion is known as an oscillator. Simple examples are a mass on the end of a vertical spring, a pendulum, or a trolley tethered between two springs. The amplitude of an oscillation is the maximum displacement of the system from the rest position.  Hypothesis:

In this experiment I will be changing the position from where I will be dropping the ball into the bowl from thus the amplitude will be changing.

In my view the higher the amplitude would result in longer time for the ball to return to its original point of release at the maximum amplitude. This would result in a long period of time. For the movement of the ball in the bowl is caused by the inward push exerted by the surface of the bowl. Therefore by increasing the amplitude the time period will increase.

...read more.

Middle

12:66

10:03

9:03

11:63

16,11,11 &11

20 cm

10:37

10:32

10:06

9:81

12,11,10&11

15 cm

11:10

8:91

9:10

8:56

12,9,9&8

10cm

7:97

8:72

8:50

8:62

10,9,8&8

5cm

7:07

6:84

7:69

7:66

9,6,8&8

Width of the mat which was bowl shaped– 66cm

Amplitude 25 cm  - Time for one oscillation

 12:66/16 0.79 10:03/11 0.91 9:03/11 0.82 11:63/11 1.05

Amplitude 20cm-Time for one oscillation

 10:37/12 0.86 10:32/11 0.93 10.06/10 1 9:81/11 0.89

Amplitude 15cm-Time for one oscillation

 11:10/12 0.92 8:91/9 0.99 9:10/9 1.01 8:56/8 1.07

Amplitude 10 cm-Time for one oscillation

 7:97/10 0.79 8:72/9 0.96 8:50/8 1.06 8:62/8 1.07
...read more.

Conclusion

Follow up experiment: Since in this experiment we looked at the link between the amplitude and period, after this we can take the initiative to look and compare between two other properties. So we can look at the influence of changing the mass on the period. We can try placing different weights in a small cylindrical tube and then rolling it. The amplitude will remain the controlled variable in this case.

Bibliography

"Harmonic oscillator -." Wikipedia, the free encyclopedia. Web. 11 Jan. 2010. <http://en.wikipedia.org/wiki/Harmonic_oscillator>.

"Oscillation: Definition from Answers.com." Answers.com: Wiki Q&A combined with free online dictionary, thesaurus, and encyclopedias. Web. 11 Jan. 2010. <http://www.answers.com/topic/oscillation>.

"What is amplitude?" Indiana University. Web. 11 Jan. 2010. <http://www.indiana.edu/~emusic/acoustics/amplitude.htm>.

...read more.

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. ## Analyzing Uniform Circular Motion

Slope = ; (relative) Slope = 0.6061 � 0.0004 Hz2r (absolute) We can see that there is a definite error in this experiment from the comparison of the slopes and the percentage error will be measured in the conclusion. 2.

2. ## Investigate the relationship between temperature and evaporation rate.

for boiling water, vapour could have been lost and the temperature would decrease. I also rounded up the thermometer reading if the degree was difficult to identify (in between two numbers or lines).

1. ## In this extended essay, I will be investigating projectile motion via studying the movement ...

From the Graph 1 and Graph 2, all experimental range values obtained are less than the theoretical ones although their differences vary. The experimental ranges almost resemble a straight line. Interpretation of the graphs It is clear from the above graphs that the data collected via experimental method does not match the theoretical hypothesis very accurately.

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

trend line indicating that the distance l is directly proportional to the frequency through the formula line equation of the graph (thus one increased the other increases). Note: In all graphs the line equation (or formula) stated below and on the graph represents the relationship Y and X (vertical and

1. ## Determination of Coefficient of Friction

Now I will calculate the absolute uncertainty of my � kinetic measurements for each situation. To do that, I will have to add relative uncertainties by using this formula: When I added 0 weights, -> ?� = 0.1875 � 0.2; When I added 1 weight, ?� = 0.0684 � 0.07;

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

proportional to the angle of the slope of the inclined plane: , where if the value of sin ? increases (angle increases) the value for acceleration will increase too. Evaluation Measuring the lengths and heights for this experiment had small uncertainties; this was helpful for the analysis of the data later.

1. ## Investigating the Oscillations of an Obstructed Pendulum

This shows that there random errors present in the experiment. One major likely error in this experiment was the human error. Humans have a reaction time of between 0.2 and 0.3 seconds, and of we add this to the already-present uncertainties, it can make for quite diluted results.

2. ## HL Physics Revision Notes

A more significant effect of ice melting and the sea level rising is expected to be the fact that, with more water, and at a higher temperature, the evaporation rate will increase and therefore more water vapour will be released into the atmosphere. • Over 160,000 pieces
of student written work
• Annotated by
experienced teachers
• Ideas and feedback to
improve your own work 