A wire of length 100 cm and having mass of 3 gram is subjected to a tension of 29.4 N. Calculate the fundamental frequency of vibration of the string.
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- The A string should have a frequency of 440Hz. A known string is plucked which has a frequency of 440Hz at the same time as a second unknown string is plucked and 4 beats/second(beat frequency). If the second string was stretched too tight, what is the period of the second string oscillation?A thin 1.0-m metal rod sustains a longitudinal standing wave with vibration antinodes at each end of the rod. There are no other antinodes. The density and Young's modulus of this metal are, respectively, 2900 kg/m3 and 4.5x1010 N/m2. What is the frequency of the rod's vibration?A string is fixed at both ends and is vibrating at 136 Hz, which is its third harmonic frequency. The linear density of thestring is 5.50 x 10-3 kg/m, and it is under a tension of 2.9 N. Determine the length of the string.
- A steel wire in a piano has a length of 0.600 m and a mass of 3.500 ✕ 10−3 kg. To what tension must this wire be stretched so that the fundamental vibration corresponds to middle C (fC = 261.6 Hz on the chromatic musical scale)?A stretched string fixed at each end has a mass of 40.0g and a length of 8.00m. The tension in the string is 49.0N. (a) Determine the positions of the nodes and antinodes for the third harmonic. (b) What is the vibration frequency for this harmonic?What is a vibrational frequency of the n=6 harmonic of a string of length 0.71 m strung at the tension 27.6 N, if the string is made of steel (density 7700 kg/m3) and has a diameter of 0.00771 m?
- (a) An ethernet cable is 4 m long and has a mass of 0.25 kg. A transverse wave pulse is produced by plucking one end of the taut cable. The pulse makes 5 trips down and back along the cable in 0.5 s. What is the tension in the cable? (b) A simple pendulum consists of a ball of mass 3 kg hanging from a uniform string of mass 0.06 kg and length L. If the period of oscillation of the pendulum is 3 s, determine the speed of a transverse wave in the string when the pendulum hangs vertically. Group of answer choices 2) Light waves are electromagnetic waves that travel at 3.00 108 m/s. The eye is most sensitive to light having a wavelength of 5.84 10-7 m. (a) Find the frequency of this light wave. (b)Find its period.A violin string has a fundamental frequency of 450 Hz. Which of the following frequencies can set the string into a resonant vibration (standing wave pattern)? O 1350 Hz 0 45 Hz O 1000 Hz O 250 HzA string is fixed at both ends and vibrating at 130 Hz, which is its third harmonic frequency. The linear density of the string is 4.9x10-3 kg/m, and it is under a tension of 2.4 N. Determine the length of the string.
- A steel wire in a piano has a length of 0.520 m and a mass of 4.600 x 103 kg. To what tension must this wire be stretched so that the fundamental vibration corresponds to middle C (f. = 261.6 Hz on the chromatic musical scale)? Need Help? Read ItA string clamped at two ends is vibrating at a fundamental frequency of 439 Hz such that the distance between adjacent nodes is 43 cm. The tension of the wire is 86 N and wire diameter is 0.4 mm. Calculate the density of the material of the wire and give your answer in SI units.A 2.00-m-long wire having a mass of 0.100 kg is fixed at both ends. The tension in the wire is maintained at 20.0 N. (a) What are the frequencies of the first three allowed modes of vibration (standing waves)? (b) If a node is observed at a point 0.400 from one end, in what mode and with what frequency is it vibrating? (c) If this wire can be used to create a sound wave as part of a musical instrument, what is the frequency and wavelength of the sound wave created if the string is oscillating in its fundamental mode?