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This investigation asks the question of what the effect of changing the mass on the period of oscillation of a mass on a spring.

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Introduction

Mass on a Spring IA

February 16

2012

.

By Fredrick Khayad


Introduction

Research Question:

This investigation asks the question of what the effect of changing the mass on the period of oscillation of a mass on a spring.

Independent Variable:

The independent variable is the time for one period of oscillation. The time for five period oscillations will be measured in seconds which will be recorded through the utilisation of a stopwatch.

Dependent Variable:

The dependent variable is the mass that will be added to the spring to investigate its effect on for five period oscillations. Brass weights were used within this practical.

Controlled Variables

What will be controlled

How it will be controlled

Displacement

The displacement of the mass on the spring will always be pulled back 0.02m from its equilibrium/spring constant

Spring

The same spring will be used throughout the entire practical to ensure that the length, material and

External Factors

To minimize external factors such as air blowing against the spring, the experiment was held within a classroom with doors and windows shut.

Brass Weights

The same type of Brass weights (50g) were only used.

...read more.

Middle

10.54

0.16

The original brass weight with mass of 0.05kg, has the uncertainty of image01.pngimage01.png. With the addition of each weight after the original, the mass was applied to the mass uncertainty to create a new total uncertainty for the specific mass. Given below in the example calculations are the average time for five oscillations and the uncertainty for the original time measurements.

Example Calculations:

Finding Average Time for five oscillations

image11.pngimage11.pngs

Finding Uncertainty of Original time measurements

3.47s, 3.34s, 3.53s, 3.41s, 3.69s and Average (3.48s)

Using:

 Maximum Value – Minimum Value

And

Average Value – Minimum Value

Depending on whether which is greater, that will be the value used for the uncertainty.

Respectively

3.69 – 3.34 = 0.35

3.48 – 3.34 = 0.14

0.35 > 0.14

Hence, resulting in the uncertainty of ±0.35

Processing Data

With the current data retrieved from the experiment, we are not able to portray a graph that will accurately represent or depict the effect of mass for the time taken for one oscillation. The data must be processed to provide graphs that will accurately represent the effect of mass on the spring. Seen in Figure 2 is the processed data that will be graphed.

Mass (kg)

Mass Uncertainty (x10-3)

Average time for 5 oscillations (s)

Average Time Uncertainty (s)

Period Time (s)

Period Time Uncertainty (s)

Period Time2 (s)

Period Time2 Uncertainty (s)

0.05

0.01

3.48

0.35

0.70

0.35

0.49

0.50

0.10

0.51

5.05

0.49

1.01

0.49

1.02

0.49

0.15

1.01

6.03

0.31

1.21

0.31

1.46

0.26

0.20

1.51

6.93

0.29

1.39

0.29

1.93

0.21

0.25

2.01

7.84

0.18

1.57

0.18

2.46

0.11

0.30

2.51

8.32

0.39

1.66

0.39

2.76

0.23

0.35

3.01

8.94

0.34

1.79

0.34

3.20

0.19

0.40

3.51

9.57

0.12

1.91

0.12

3.65

0.06

0.45

4.01

10.13

0.18

2.03

0.18

4.12

0.08

0.50

4.51

10.54

0.16

2.11

0.16

4.45

0.08

...read more.

Conclusion

The scales were only limited to <400g, thus resulting in a greater uncertainty for all the masses above 400.

Utilise a stool with a flat surface, and secure the retort stand in place with a heavy object to stop the swaying of the spring.

Use a scale with a higher limitation.

Reaction Time

The reaction time for the timer will greatly affect the results as this will create a larger uncertainty and result in imprecise recordings during the practical

Unavailable.

Parallax Error

Parallax Error decreases the accuracy of the recordings.

Try to have the reader, read the measurements at eye level so the readings are as accurate as possible, also the reader must be in a comfortable position to prevent them from reading an angle.

Trials

With very limited trials, in this case 5, the measurements are limited in terms of accuracy.

Perform more than 5 trials, 10 being the most, this will help reduce the chances for random error.

...read more.

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