F 3 n f 1 3 is for the of loops n is the of loops for

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f 3 = n f 1 (3 is for the # of loops) ‘n’ is the # of loops, for this variable n = 3. f 1 = f 3 3 = 16.5 Hz 3 = 5.5 Hz Therefore, the fundamental frequency is 5.5 Hz. 17b). Velocity = Wavelength * frequency The string is making 3 loops in the string therefore it is converting 3/2 wavelength as each loop is wavelength. Wavelength (3/2) = length of string = 6 Wavelength = 2/3*6 = 4m/s Frequency = 16.5 Hz Velocity = 4*16.5 = 66 m/s 17c). 28.5/5.5 = 5.2 is not an integer, therefore is not a standing wave. 18).
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v= (1.4 * 303 * 8.314/0.0828524) (1/2) = (123643.2057) (1/2) m/s = 351 m/s Therefore wavelength = velocity / frequency = 351 / 1024 = 0.343388 m = λ, minimum length of air = (1/4) * (λ) = 0.0858 m = 8.58 cm. 19a). Equations: L1 = λ/2 or λ= 2L L2 = λ L3 = 3 * λ/2 or λ= 2L/ 3 f1 = v/ λ A) λ= 2L = 2 x (0.54m) = 1.08 m f1 = v/ λ= 346m/s / 1.08m = 320.4 Hz L3 = 3 * (1.08m)/2 = 1.62 m
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