Experiment 4: Standing Waves
The objective of this experiment is to gain
knowledge and understanding of standing waves driven by an external force.
There are several items that must be obtained before the experiment may be
executed. These such items are a Pasco Variable Frequency Wave Driver, a weight
which will be calculated using the mass, a meter stick for measuring the length
of the string, a pulley and a pendulum clamp.
The main idea behind this entire lab is to
find a relationship between the amount of nodes and antinodes, and as well as
the frequency given by these nodes. It is clear to see that a higher frequency
will create more nodes and antinodes.
This was used with a
123 centimeter string and clearly shows that the frequency increases as the
nodes and anti nodes increase. There will always be one more node than antinode
on any given wave.
Velocity = Frequency X Wavelength
Wavelength = 2(Length) / n
Velocity = sqrt(Tension / mass per unit length)
Wavelength = 2(Length) / n
Velocity = sqrt(Tension / mass per unit length)
The tension in the string was calculated
by simply determining the weight on it which in this case was 200.2 grams
multiplied by the downward force of gravity at 9.8 m/s^2. The weight of the
rope was determined by putting a set amount of length on the scale and then
multiplying it by the length to determine how much the weight of the string
was.
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