Waves Lab Full (1)
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Dec 6, 2023
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Name _______Tyler Hope____________________
Date ___________10/16/23_________________
Class Day/Time ___________________
Lab 11: Waves Lab
There are two principal types of currents that occur in our oceans: surface currents, which usually have a depth
of several hundred meters and are driven by global wind patterns, and deep currents, which move slowly at
greater depths beneath the ocean surface and are driven primarily by differences in water density.
Part 1: Shallow Water Waves
Objective:
Students will understand the behavior of shallow water waves in a simulated laboratory
environment, at various water depths.
Aside from the currents driven by seismic activity, a majority of the wave activity we see on the surface of lakes
and oceans are driven by wind. Wind-generated waves represent mechanical energy that has been transferred to
the surface of water. The size of a wind-generated wave is determined by a few major factors – the velocity of
the wind, the length of time the wind is blowing and the distance over which the wind has been in contact with
the surface of the water (referred to as fetch).
Regardless of wave type, all waves have some basic features in common. The “anatomy” of a wave consists of
the
crest
, which is the “peak” or highest point of a wave, the
trough
, which is the “valley” or lowest point of a
wave, the
wavelength
, which is the distance between two successive crests or troughs, the
wave height
, which
is the vertical distance between the crest and trough, the
wave period
, which is the time required for two
successive points of waves (two crests or two troughs) to pass a fixed point, and the
amplitude
, which is the
vertical distance between the baseline (sea level) and a crest or a trough.
Waves change behavior are they approach the shore. Waves rotate in a circular motion and can be interrupted by
the floor. This is referred to as ‘feeling bottom,’ and it occurs when the water is at a depth that is approximately
half of the wavelength of the circular water movement of the wave. When waves feel bottom, they increase in
wave height and decrease in wavelength (similar to the compression of an accordion). As waves enter
environments with this depth, then they are referred to as shallow water waves.
In this environment, wave speed is dependent solely on depth using the formula:
(the theoretical value):
C =
√
gd
where:
C = wave speed
g = gravitational acceleration (9.8 m/s
2
or 980 cm/s
2
)
d = depth
The calculation for wave speed in centimeters can be recalculated as:
31.3*√d
ESCL10007210370818S1A06
Part 1 Materials:
Wave tank, water, meter stick, ruler, stopwatch, calculator
Procedure:
1.
Measure the inside length of the wave tank to the nearest centimeter (it should be close to 70 centimeters
in length).
2.
Multiply this value by 2 (Length x 2) to get the total measurement length, as we will be measuring the
wave as it travels to the end and back again.
3.
Using a ruler, pour a measured height of .5 cm of water into the tank. Measure with the ruler in the
center of the tank to improve accuracy.
4.
Lift the tank by two inches on one end from the surface of the table. Allow the water to settle and then
firmly place the tank down on the table. This will generate a wave.
5.
Wait for the wave to reach one end of the tank BEFORE starting measurement, then start the timer and
stop it once the wave has hit two more walls (one direction and back again after the initial waiting
period).
6.
Repeat this process five times and record your data in the five trial lines. Find the average of your
dataset.
7.
Increase the water height to 1.0 cm, 1.5 cm, 2.0 cm, and 2.5 cm for each set of trials and repeat steps 4-
6.
8.
Calculate the average speed for each average using the formula: speed = distance / time (where distance
was Length x 2).
Please show at least two of your calculations.
9.
Calculate the percent error for each average speed measurement using the theoretical formula value
(Percent error = theoretical value – measured value / theoretical value x100). Theoretical value is
calculated by inserting the standardized depth measurements into the equation above (i.e., 0.5cm, 1.0cm,
etc.).
10. Please show at least two of each of your calculations.
Data Tables
Depth (d) in Centimeters
Time (s)
.5 cm
1 cm
1.5 cm
2 cm
2.5 cm
1
6.27s
5.08s
4.22s
3.19s
2
6.20s
5.07s
4.09s
3.28s
3
6.18s
5.13s
4.15s
3.30s
4
6.23s
5.17s
4.16s
3.29s
5
6.23s
5.06s
4.08s
3.35s
Average Time
6.22s
5.10s
4.14s
3.28s
Average Speed
22.5cm/s
26.4cm/s
33.8cm/s
42.6cm/s
Percent Error
1.6%
15.6%
11.8%
3.7%
Calculations:
Average Time
Avg Speed
Percentage Error
6.27 + 6.20 + 6.18 + 6.23 + 6.23 / 5 = 6.22 | 140 / 6.22 = 22.5 | 22.5 - 22.13 / 22.13 * 100 = 0.016
ESCL10007210370818S1A06
5.08 + 5.07 + 5.13 + 5.17 + 5.06 / 5 = 5.10 | 140 / 5.10 = 26.4 | 31.30 - 26.4 / 31.30 * 100 = 0.156
Analysis:
What are the impacts of water depth on the speed of waves?
The bigger the water depth was, the more speed the waves had. The shallower depths had the slowest
waves. When the water is shallow, the wave hits the bottom of the floor further affecting its speed. When
you increase the depth, it results in the wave having less interference, as it has more distance to travel
before it can hit itself again.
How did your results compare to the theoretical results? What factors might have contributed to this variation?
My results compared to the theoretical results did not vary massively. There was a lower percentage error
for the smallest depth and biggest depth, but a bigger for the 1cm and 1.5cm depths. This could be
because the measured results did not exactly match the theoretical results idealized conditions.
Part 2: Ocean Density Currents
Objective:
Students will understand the way that water moves at depth, beneath the surface of the ocean.
Water density is directly impacted by changes in temperature and salinity. Large amounts of dissolved solids
within ocean water make it denser than pure freshwater, as dissolved solids add mass to the water. Salinity is the
term used to describe the solids that are dissolved in seawater and are expressed as units of ‘parts per thousand.’
This represents the number of grams of dissolved solids in one kilogram of seawater. As salinity of seawater
increases, so does the density
Most of the surface water in the world ocean ranges from 33-36 ppt, though salinity can be locally impacted by
the amount of freshwater and additional salts that are contributed to the sea by runoff, by the freezing and
melting of icebergs and pack ice, and by changes in the rate of evaporation.
Temperature also plays a role in the density of ocean water, as the density increases as the water grows colder.
The temperature of ocean water is primarily determined by exposure to infrared radiation received from
sunlight. The densest ocean water is found in the polar regions, which experience little to no direct sunlight
from season to season, and the least dense ocean water is found around equatorial regions.
When large masses of water that have different densities meet, they typically do not mix. At these locations,
deep ocean currents are produced as cold, dense, polar water sinks and flows beneath the warm, less dense
ocean waters that originate near the equator. Deep ocean currents move slowly and in a diffuse manner.
ESCL10007210370818S1A06
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Part 2 Materials:
Clear plastic box, beaker (50 ml), wood block, pipettes, food coloring, water (hot and cold),
ice cubes, salt, teaspoon
Procedure:
1.
Set up the clear plastic box – place the block of wood under one end, so that it is tilted. Fill the opposite
end with about 800ml of room temperature water. Let the water become calm before proceeding.
2.
Place 25ml of room temperature water into a beaker. Add one teaspoon of salt and one drop of yellow
food coloring to the water and stir until the salt dissolves. Slowly pour the solution into the raised end of
the box and then observe what happens to the solution.
3.
Place 25ml of ice water into a beaker and stir in blue food color. Slowly pour the solution into the raised
end of the box and then observe what happens to the solution.
4.
Rinse your beaker and place 25ml of hot water into the beaker. Stir in one drop of red food coloring.
Slowly pour the solution into the raised end of the box and then observe what happens to the solution.
Write your observations so far. What happened during steps 2-4?
The different solutions have each settled at a different level within the water.
They also do not mix with each
other.
5.
Add a spoonful of salt and a drop of green food coloring to 25ml of ice water. Stir until the salt
dissolves. Slowly pour the solution into the raised end of the box and then observe what happens to the
solution.
6.
Complete the diagram below, by coloring it based on your observations (look at the tank from the side).
Analysis:
1.
Describe the materials used in terms of their density.
The saltwater solution has the higher density, as it sank to the bottom of the box. The cold freshwater solution
has an even density, as it is less dense than the salt water, so it stays above it, but denser than the hot freshwater.
The hot freshwater solution floats at the top, as it has the lowest density. The cold saltwater solution sank all the
way to the bottom as it has the highest density of all the different water solutions.
ESCL10007210370818S1A06
2.
How would an increase in evaporation impact the density of ocean water?
The more water that evaporates from the ocean water, the higher the concentration of salinity is in the water.
The water vapor is leaving behind a lot of the solute that is within its liquid form, in less water volume than
there was before. This increase in salinity then leads to the water being denser.
3.
The salinity of the Mediterranean Sea is about 40 ppt, while the salinity of the Atlantic Ocean is about
35 ppt. Why do you think this is the case? How would this impact your ability to float in each setting?
The Mediterranean experiences higher temperatures, and receives ample amounts of sunlight, causing higher
evaporation rates to occur. This increases the salinity of the water, causing it to become denser. The Atlantic
Ocean recieves many different types of freshwater inputs, that can dilute the water, decreasing its salinity. These
freshwater inputs range from as small as rivers, to as big as glaciers. This in turn leads to its water being less
dense. Due to the water being denser in the Mediterranean, you would find yourself able to float easier as the
water now has an increased buoyancy.
ESCL10007210370818S1A06