Hello. I need help calculating the frequency of a vibrator. Thequestion and associated values are below:
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Hello. I need help with the following problem for calculatingthe frequency of a vibrator. I asked for helped previously andrecieved an answer of 47.77, but this was incorrect. There is aformula that was included with this problem, but I tried using itand I can't get it to work. The question and formula are below:
A standing wave is set up in a string of variable length and tension by a vibrator of variable frequency. Both ends of the string are fixed. When the vibrator has a frequency f, in a string of length L and under tension T, n antinodes are set up in the string.
(a) If the length of the string is doubled, by what factor should be the frequency be changed so that the same number of antinodes is produced?
(b) If the frequency and length are held constant, what tension will produce n+1 antinodes?
(c) If the frequency is tripled and the length of the string is halved, by what factor should the tension be changed so that twice as many antinodes are produced?
Assume g = 9.808 m/s^2 unless stated otherwise. Use MKS unitsunless stated otherwise.
What is the wavelength corresponding to the third resonant mode(2 nodes) in a vibrating string if the vibrator frequency is120.0Hz and the length of the string is 1.20m? What is the tensionin the string if the linear density of the string is 2.95 x10-4 kg/m?