Question 460.
The mass of a string is 6.8 × 10-3 kg, and it is stretched so that the tension in it is 220 N. A transverse wave traveling on this string has a frequency of 190 Hz and a wavelength of 0.61 m. What is the length of the string?
Answer 460. Speed of the transverse wave on the string,
v = λ f
=> v = 0.61 * 190 m/s
If l = length of the string,
v = √[T/(m/l)]
=> 0.61 * 190 = √[220/(6.8 x 10^-3/l)]
=> 220 l / (6.8 x 10^-3) = (0.61 * 190)^2
=> length of the string,
l = 6.8 x 10^-3 * (0.61 * 190)^2 / 220 m
=> l = 0.4152 m = 41.52 cm.
Link to YA!
The mass of a string is 6.8 × 10-3 kg, and it is stretched so that the tension in it is 220 N. A transverse wave traveling on this string has a frequency of 190 Hz and a wavelength of 0.61 m. What is the length of the string?
Answer 460. Speed of the transverse wave on the string,
v = λ f
=> v = 0.61 * 190 m/s
If l = length of the string,
v = √[T/(m/l)]
=> 0.61 * 190 = √[220/(6.8 x 10^-3/l)]
=> 220 l / (6.8 x 10^-3) = (0.61 * 190)^2
=> length of the string,
l = 6.8 x 10^-3 * (0.61 * 190)^2 / 220 m
=> l = 0.4152 m = 41.52 cm.
Link to YA!
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