• 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. How does the mass of the paper helicopter affect the drop time of the ...

    pass before the thought from the brain reaches the hand to start and stop the stopwatch). This serves as a limitation because although the stop watch was controlled by the same person each time, a different time lapse will pass each time thus causing the inability to accurately time the helicopter drop each time.

  2. 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

  1. Finding the Spring Constant

    � 2 =0.090 After that, we add this averaging uncertainty to 0.21 (which is basically the summation of our equipment and reaction time error) Example 3: Mass of 100g is 0.1kg as we divide by 1000. However to calculate the absolute uncertainty of mass in kg, we simply see how high the uncertainty was for the masses.

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

    Graph 1.2 time taken for 0.1 kg mass to complete 10 oscillations using different spring constants Discussion: - all vibrating system undergoes the same motion repeatedly. Oscillations are very common phenomena in all areas of physics. And this experiment deals with a very special periodic oscillation called simple harmonic motion (SHM).

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

    Then, divide one by the square root of mass. Example: V1.5g�1.2247g0.5 1/1.224� 0.8156 1/g0.5 Inverse of the Square Root of Mass Uncertainty: First, divide the uncertainty of mass by the total mass to find what percentage of the total mass the mass uncertainty is.

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

    Theoretical Hypotheses To begin, let's assume a metal ball is launched horizontally with a height above ground level by a released spring. However, since the projectile trajectory of the metal ball is extremely close to the Earth's surface, the change in gravitational force acting on the metal ball is statistically minute and can be ignored.

  1. Investigating the Oscillations of an Obstructed Pendulum

    This would have had the effect of a random error, with the results being skewered by 0.2 or 0.3 seconds. In addition to this, it is possible that when lengths were measured, they were not measured completely accurately (this is always possible as it is a human error)

  2. In this experiment, a mechanism is prepared to observe the refraction of light and ...

    paper and upside of the line is marked as medium of water and downside is marked as medium of air. A transparent semicircular container is put in the part of the medium of water. At last needles are sanked into the paper as shown in the figure below and angles with y-axis are measured.

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