Investigating the Speed of Water Waves (WJEC GCSE Science (Double Award)): Revision Note
Specified Practical: Investigating the Speed of Water Waves
Aim of the Experiment
In this experiment, the goal is to measure the mean speed of a water wave using the equation:
Variables
Independent variable = Depth of water
Dependent variable = Speed of the wave
Control variables:
Height at which the tray is lifted to
Distance the wave travels while being timed
Equipment List
Equipment | Purpose |
---|---|
Rectangular tray | To contain the water |
Ruler | To measure the length of the tray and depth of water |
Stopwatch | To measure the time taken for the wave to travel |
Large beaker | To transfer water to the tray |
Equipment Set Up
Measure depth of water in the tray on the flat surface
Method
Measure the length of the tray and record this
On a flat surface, fill the tray with water to a depth of 0.5 cm
Lift one end of the tray up off the surface by a set amount (e.g. 5 cm)
Place it back down gently on a desk - this will produce a wave from one end of the tray
Once placed down, start the stopwatch and record the time taken for the wave to travel the length of the tray 3 times (the wave will reflect back from the end surface of the tray)
Repeat this process with a water depth of 1.0 cm, 1.5 cm, 2.0 cm, 2.5 cm and 3.0 cm
Repeat measurements for each depth 3 times
Use the recorded quantities to calculate the mean wave speed and plot a graph of this against the depth of water
Tipping the Water Tray
Ensure the tray is raised to the same height for each experiment and lower it back down gently to avoid spilling water and affecting the value of the depth (and to avoid a slipping hazard)
Example Table of Results for a Tray of Length 30 cm
Depth of Water / cm | Time taken to travel 3 lengths of a tray / s | Mean time / s | Mean speed / cm/s | ||
---|---|---|---|---|---|
1 | 2 | 3 | |||
0.5 | 5.39 | 5.44 | 5.42 | 5.42 | 16.6 |
1.0 | 3.77 | 3.84 | 3.85 | 3.82 | 23.6 |
1.5 | 2.88 | 3.04 | 2.95 | 2.96 | 30.4 |
2.0 | 2.56 | 2.64 | 2.66 | 2.62 | 34.4 |
2.5 | 2.49 | 2.45 | 2.48 | 2.47 | 36.4 |
3.0 | 2.51 | 2.40 | 2.43 | 2.45 | 36.7 |
Analysis of results
The mean speed is calculated by dividing 90 cm (3 times the length of the tray) by the mean time taken to travel 3 lengths of the tray
This is given in cm/s, not m/s, as the values are easier to handle
Plotting a graph with depth of water on the x axis and mean speed on the y axis will show the relationship between the two
Example Graph of Depth Against Mean Speed of Wave
The relationship between wave speed and water depth is not linear, the line of best fit here is curved
The relationship this graph shows is that wave speed in creases with depth of water, but increases at a decreasing rate
Evaluating the Experiment
Systematic Errors:
Make sure the measurements on the ruler are taken at eye level to avoid parallax error
Ensure one person moves the tray and one person operates the stopwatch to avoid any delay
Random Errors:
Lift the tray to the same height each time
Perform the experiment on the same flat surface each time
Measure the depth of the water when the water is still
Measure depth in multiple places - if it varies then the surface is not flat
Safety Considerations
Ensure water is not spilled on the floor, this is a slipping hazard
Lower the tray when creating the wave, do not drop it as this will spill water
Immediately wipe up any spillages to avoid other students slipping
Examiner Tips and Tricks
Producing a table with m/s for the units of speed is perfectly acceptable too, cm/s just saves space on the y axis by avoiding writing '0.' before every value.
If given a section of graph paper to draw your graph on, ensure you fill more than half of the space with your graph or you may lose marks.
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