postlab 10 - the change in √(See equations below 3...

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Pre-Lab 10: Sara Irshad 1. If we pulled the string 256 times more taut we would be increasing the Force fue to Tension in the string by 256. A taut string is restored (snaps back) more quickly than a slack string and naturally has a shorter period of vibration than a slack string has, thus the taut string produces waves with a higher frequency and a shorter wavelength than a slack string. Therefore, the new frequency of the fundamental node in terms of f1 for the string is 16f1 (see calculations) 2. If we replaced the original string with a lighter thread that is 1/9 th the original string’s mass per unit length, the frequency would change by becoming √9(f1). This is because the mass density of the string of same length would increase when the string’s mass decreases, the frequency would change directly proportional to
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Unformatted text preview: the change in √ . (See equations below) 3. wave-speed = wavelength * frequency v = (l-n) (f-n) f-n = v/(l-n) On a string pinned at both ends, a standing wave must have an integral number of half-wavelengths span the length of the string (L): So (n/2) (l-n) = L, so l-n = 2L/n Therefore f-n = v/(l-n) = v/(2L/n) = nv/(2L) = n (v/2L) So: f-n = n (v/2L) l-n = 2L/n 4. The relation is : 5. In physics, resonance is the tendency of a system to oscillate with larger amplitude at some frequencies than at others. These are known as the system's resonant frequencies. At these frequencies, even small periodic driving forces can produce large amplitude oscillations, because the system stores vibrational energy. Resonances occur when a system is able to store and easily transfer energy between two or more different storage modes...
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postlab 10 - the change in √(See equations below 3...

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