Answer :
A)The frequency f1 of the string's fundamental mode of vibration is 177.42 Hz.
B) The number n of the highest harmonic is 90.
The Tension in the String is 765 N.
Steel wire length L is 0.900 m
The mass of the string m is 6.75 g = 6.75 × [tex]10^{-3}[/tex] kg.
Frequency of the string = n ×(Velocity of the wave on the String/(2L) )
The velocity of the wave on the string V=[tex]\sqrt{} \frac{T}{M/L}[/tex]
V= [tex]\sqrt{} \frac{765}{675 * 10^{-3}/0.9}[/tex]
v = 319.37 m/sec
For Fundamental Frequency n = 1
Frequency = V / 2L
f = 319.37 / (2*0.9)
f = 177.42 Hz
Therefore Fundamental Frequency of the String is 177.42 Hz.
Frequency f = 16 kHz
The velocity of the wave on the string v = 319.37 m/sec
Frequency of the string f = n ×(Velocity of the wave on the String v /(2L) )
n = f × (2L / v)
n = 16×10³ (2*0.9 / 319.37)
n = 90.17
n ≈ 90
The number of Harmonics is 90.
In physics, anxiety is described as the pulling pressure transmitted axially with the aid of the manner of a string, a rope, chain, or comparable object, or by way of each stop of a rod, truss member, or comparable three-dimensional object; anxiety may also be described because the action-response pair of forces acting at every end of said factors. tension might be the alternative to compression.
On the atomic level, whilst atoms or molecules are pulled other than every other and benefit potential electricity with a restoring force nevertheless present, the restoring force may create what is also referred to as tension. every stop of a string or rod under such anxiety ought to pull on the item it's far attached to, to be able to repair the string/rod to its secure length.
Anxiety (as a transmitted force, as a motion-response pair of forces, or as a restoring pressure) is measured in newtons in the international system of gadgets (or pounds-pressure in Imperial devices). The ends of a string or different object transmitting tension will exert forces on the gadgets to which the string or rod is attached, inside the route of the string on the factor of attachment. these forces because of tension also are called "passive forces". There are fundamental opportunities for structures of items held through strings: both accelerations are 0 and the system is therefore in equilibrium, or there may be acceleration, and consequently, an internet force is present in the gadget.
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