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

What determines the period of a mass-spring system?

Extracts from this document...

Introduction

Maggie Ming

L6Sc (21)

Observation:

A mass is hanged from one end of a vertical spring. When it is displaced downwards slightly and released, it oscillates vertically. The time (period) for one complete oscillation is always the same.

Problem:

What determines the period of a mass-spring system?

Hypothesis:

The period of the oscillation is affected by several factors. The material used to make the spring could affect the period. With an increase in the number of springs used and the weight of mass, there would also be a change in the period of oscillation.

Aim:

To find out how the above stated factors would affect the period of the oscillation of the mass.

Principle:

A spring pendulum consists of a mass suspended by a spring from a fixed point. If the bob is drawn aside slightly and released, it oscillates upward and downward in a vertical plane.

...read more.

Middle

Number of springs used in series

1

2

3

4

5

Period (s)

0.662

0.958

1.189

1.394

1.594

image04.png

2.

Number of Oscillation

30

30

30

30

30

Time used (s)

17.71

19.86

25.15

28.11

31.83

Weight of the mass (g)

30

40

60

80

100

Number of springs used in series

1

1

1

1

1

Period (s)

0.590

0.662

0.838

0.937

1.061

image05.png

3.

Material of spring

Copper

Iron

Number of Oscillation

30

30

...read more.

Conclusion

Possible errors:

  1. There is reaction time when pressing the stopwatch. Thus the time recorded is not 100% percent.
  2. There’s little damage to the mass and this would affect the weight of the mass.
  3. The copper spring is of different width with the iron spring, and this may also lead to a difference in the elasticity of the springs.

Improvement:

  1. The mass used is in a spherical shape so that the center of weight could be found easily.
  2. The same part of the experiment is repeated to ensure the accuracy of the results.

Conclusion:

The period of the oscillation is affected by several factors. The material used to make the spring could affect the period. An iron spring would results in a shorter period. With an increase in the number of springs used in series and the weight of mass, the time for a period of oscillation also increase. However, with a rise in the number of springs used alongside each other, the period decreases.

...read more.

This student written piece of work is one of many that can be found in our AS and A Level Waves & Cosmology 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 AS and A Level Waves & Cosmology essays

  1. Investigating the relationship between the mass and time period in a spring-mass system

    masses are to be used, the experiment will be conducted over a table so that if the spring breaks the masses won't fall to the floor and injure somebody. Safety goggles may be worn when using masses over 600g because spring may break.

  2. The aim of this investigation is to examine the effect on the spring constant ...

    To prove this mathematically, we can apply the results to the standard equation for a linear Cartesian graph (i.e. y = mx + c): From this substitution of the results into the mathematical form of a Cartesian graph it can be clearly seen that the extension produced equals the force

  1. Measuring spring constant using oscilations of a mass.

    the predicted value meanwhile the actual calculated value of g is far from the predicted value.

  2. An investigation into the time period of a mass-spring oscillating system.

    The weight was pulled to one side, and allowed to start oscillating. We started timing when the mass reached one side. We timed 10 oscillations, and repeated it 3 times. Then we increased the length of string by 5 centimetres, and repeated the experiment 3 times.

  1. Investigating the Vertical Oscillations of a Loaded Spring.

    the transformation between the two forms of energy when the spring is oscillating. Therefore it has the basic and universal characteristics of all waves, which involves the transfer of energy. Points to note for fair testing: There are a few things that I will need to carry out in this

  2. Determine the value of 'g', where 'g' is the acceleration due to gravity.

    To find the intercept of the minimum and the maximum I will read them of the graph as the lines cross the T2 axis. Maximum intercept = 0.075 Minimum intercept = -0.023 Original intercept = 0.030 From the values above I know I have got an error in my intercept

  1. Simple Harmonic Motion of a mass-spring system.

    B. Oscillation of a mass hanging from the spring 1. The first method we have made was that the time was measured at the moment that the weight hanger was attached to the spring. Then, the mass oscillated freely. 2. The time for 20 complete oscillations was measured with a stop-watch.

  2. Investigation into factors affecting the time period for oscillations in a mass-spring system.

    and will no longer obey Hooke's law causing inaccuracies in the readings. Preliminary Experiment From preliminary experimentation I found that; * 0.03m is a suitable amplitude to give appropriate sized oscillations with minimal disruption at lower masses. * Due to a �0.01s error in the stopwatch it is sensible to

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