1. Velocity is equal to frequency times wavelength.
2. Velocity is equal to the square root of Tension devided by
linear string density.
3. Velocity of the wave on the string is change in distance divided
by the change in time.
So going all out it was demonstrated. Look at the following images.
1. A sine wave generator with the help of a stereo amplifier
drove the string with a voice coil of a speaker. Looking at nodes
on the vibrating string, the length of one wavelength could be measured.
A value of the velocity on the string was obtained.
2. The mass of a length of string was measured: linear
density was calculated. In the second image, the masses providing
the tension are shown: The tension on the string was determined.
From those two measurements, a value of the velocity on the string
was obtained.
3. On the third image, a paper clip was made into a "special"
switch. The switch would close when the string was plucked, which
triggered the oscilloscope; and when the pulse returned the pulse caused
a blip on the oscope screen. The round trip distance measured, the
time determined from the oscilloscope and a value of the velocity on the
string was obtained.
And the three independant methods were close.
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