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

This is a practical to investigate the relationship between time period for oscillations and mass attached to a spring. When mass is attached to the spring and stretched, we observe that the mass-spring system starts oscillating.

Extracts from this document...

Introduction

Introduction: This is a practical to investigate the relationship between time period for oscillations and mass attached to a spring. When mass is attached to the spring and stretched, we observe that the mass-spring system starts oscillating. Therefore, i decided to investigate how the time period for the oscillations changes as I increase the mass attached to the spring.

Research Question:  What effect does an increase in mass attached to a mass-spring system have on the time period for one oscillation?

Variables

  • Independent Variable: Mass (M) attached to the spring (kg)
  • Dependent Variable: Time period (T) for oscillations (s)
  • Controlled variables:
  • Same spring used.
  • Temperature of the spring.
  • Number of coils of the spring.
  • Surface of the table.
  • Same set of masses.
  • Height at which the spring is hung.
  • Elastic limit of spring.

Hypothesis: When a mass is added at the end of the spring, downward force results in extension of the spring and from Hooke’s Law we know that F  = kx. When additional mass is applied downward there is extra extension in the spring which when released causes the system to oscillate. The formula used to relate time period of oscillations and mass applied in a spring system is    M = k(T2/4π2). From the equation, it is clear that T2  M. Therefore, since T2

...read more.

Middle

image00.png

± 0.01kg

Time for 10 oscillations /s (T) ± 0.21s

image01.pngimage01.png

             T1        T2        T3

0.10

3.89

3.90

3.91

0.20

5.60

5.58

5.62

0.30

6.88

6.90

6.92

0.40

7.82

7.81

7.80

0.50

8.78

8.80

8.82

0.60

9.60

9.61

9.62

Processed Date Table:

Average time for 10 oscillations/s

Unc. for Average time/s

Time period/s (t)

Unc. for time period/s

...read more.

Conclusion

In order to keep the controlled variables constant, I used the same spring to take all readings. The retort stand was kept in the same position and the spring was suspended at the same height throughout. The experiment was carried out in the same room to minimize the effects of air resistance.

The equipment used to calculate the time was a stopwatch which is not very accurate and hence the method used to carry out the experiment was also not up to full accuracy.

The experiment was not too long and hence time management was not a problem. The experiment was repeated 3 times in order to get more accurate results.

Improvements:

Although the results were fairly accurate, there are various causes which lead to inaccuracies. In order to eliminate the uncertainties in time I should use the electronic device called data logger which gives us more accurate results since there is no human reaction time. I can also try to oscillating the system slowly so that it does not swing in other directions and oscillates vertically. Also, I should measure the masses independently so that there are no uncertainties in masses.

I could have also repeated the experiment five times to get more accurate results and increased the range of the masses.

...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

See related essaysSee related essays

Related International Baccalaureate Physics essays

  1. Hookes Law- to determine the spring constant of a metal spring

    42.4 42.4 500 45.6 45.7 45.7 550 49.0 49.1 49.1 600 52.3 52.3 52.3 Spring D (Gold) Mass, m (g) Length, L1 (cm) Length, L2 (cm) Length, L3 (cm) 0 11.8 11.8 11.8 50 13.6 13.6 13.6 100 15.4 15.4 15.4 150 17.3 17.3 17.3 200 19.2 19.2 19.2 250

  2. How does different oscillating masses and spring constants affect the time needed to ...

    There are different types of simple harmonic motions. This experiment focuses on a simple harmonic motion with a mass at the end of a vertical spring. In order to say that a motion is a simple harmonic motion it must fulfill two things.

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

    In this experiment, the projection height y and the compressed length x are varied separately and the projection range is determined. First of all, the spring constant of the spring is measured and the experiment is carried out on the elevating platform with a hole filling with sand and the

  2. The Affect of Mass on the Time It Takes an Object To Fall

    This anomaly will be analyzed further in the conclusion. Linearised Data Table and Accompanying Graph: Linearised Data: 1/VTotal Mass (1/g^0.5) Uncertainty (�1/g^0.5) Avg. Time (s) Uncertainty (�s) 0.8165 0.0544 2.158 0.152 0.6594 0.0287 1.654 0.116 0.568 0.0183 1.358 0.148 0.5064 0.013 1.13 0.13 0.4613 0.0098 0.958 0.148 After finding the

  1. Bouncing balls. Research question: What is the relation between the height from which ...

    CE: It has been shown on the graphs that there is a difference between the two balls. Let freely from the same height the Pioneer needs more time to bounce six times than the Dante, which also suggest that

  2. Physics Wave revision question

    The base of the building vibrates horizontally due to the earthquake. (e) (i) On the diagram above, draw the fundamental mode of vibration of the building caused by these vibrations. (1) The building is of height 280 m and the mean speed of waves in the structure of the building is 3.4 � 103 ms-1.

  1. Investigating the Oscillations of an Obstructed Pendulum

    and this too would have created random errors. The instruments used could also have had an effect on the results. The stopwatches that were used had an uncertainty of ±0.05 seconds, but this is only the uncertainty that is accounted for.

  2. Bifilar Suspension - the technique will be applied to find the mass moment ...

    and the time period (T) * The line is not passing through origin (0,0) indicating the presence of systematic error in the investigation. * The graph is having a meaningful systematic error as line touches at y-intercept of -0.4065. * As the RMSE value is 0.2145 which is close to

  • Over 160,000 pieces
    of student written work
  • Annotated by
    experienced teachers
  • Ideas and feedback to
    improve your own work