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3. A guitar string is L = 90 cm long and has a mass of 3.6 g. The distance from the bridge to the support post is = 62 cm, and the string is under a tension of 520 N. What are the frequencies of the fundamental and first two overtones? (a) Sketch the string oscillating in the fundamental and first two overtones. n = 1 n = 2 n = 3 (b) Calculate the mass per unit length, µ=m/L= kg/m (use entire length, L) (c) Write down the equation(s) giving the harmonic frequencies of waves on a string (Eq. 16-28 and 16-29) - use vibrating length only, .. (d) Calculate the fundamental frequency with n = 1, fi = Hz. (vibrating length, ) (e) Calculate frequencies for n = 2 and n = 3 by doubling and tripling the fundamental. f₂ = Hz f3 = Hz

3. A guitar string is L = 90 cm long and has a mass of 3.6 g. The distance from the bridge to the support post is = 62 cm, and the string is under a tension of 520 N. What are the frequencies of the fundamental and first two overtones? (a) Sketch the string oscillating in the fundamental and first two overtones. n = 1 n = 2 n = 3 (b) Calculate the mass per unit length, µ=m/L= kg/m (use entire length, L) (c) Write down the equation(s) giving the harmonic frequencies of waves on a string (Eq. 16-28 and 16-29) - use vibrating length only, .. (d) Calculate the fundamental frequency with n = 1, fi = Hz. (vibrating length, ) (e) Calculate frequencies for n = 2 and n = 3 by doubling and tripling the fundamental. f₂ = Hz f3 = Hz

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Can you help me with number 3 please.
AM radio signals have freq of light (c-3x108 m/s). What are the wavelengths of these two extreme frequency signals? shortest = m (note: smallest freq) m Mongest= 2. A cord of mass 0.55 kg is stretched between two supports 30 m apart. The tension in the cord is 150 N. (a) Determine the speed of wave pulses on the cord. v = m/s (Eq. 16-3) S (b) How long does it take a pulse to travel from one end to the other? (c) By what factor is the speed increased if the tension is doubled? V2 = X VI (d) By what factor is the speed decreased if two such cords are twisted together so that the mass per unit length is doubled? V2 = X VI 3. A guitar string is L = 90 cm long and has a mass of 3.6 g. The distance from the bridge to the support post is = 62 cm, and the string is under a tension of 520 N. What are the frequencies of the fundamental and first two overtones? (a) Sketch the string oscillating in the fundamental and first two overtones. n = 1 n = 2 n = 3 (b) Calculate the mass per unit length, u=m/L= kg/m (use entire length, L) (c) Write down the equation(s) giving the harmonic frequencies of waves on a string (Eq. 16-28 and 16-29) - use vibrating length only, . (d) Calculate the fundamental frequency with n = 1, f₁ = Hz. (vibrating length, ) (e) Calculate frequencies for n = 2 and n = 3 by doubling and tripling the fundamental. f₂ = Hz f3 = Hz 15
Transcribed Image Text:AM radio signals have freq of light (c-3x108 m/s). What are the wavelengths of these two extreme frequency signals? shortest = m (note: smallest freq) m Mongest= 2. A cord of mass 0.55 kg is stretched between two supports 30 m apart. The tension in the cord is 150 N. (a) Determine the speed of wave pulses on the cord. v = m/s (Eq. 16-3) S (b) How long does it take a pulse to travel from one end to the other? (c) By what factor is the speed increased if the tension is doubled? V2 = X VI (d) By what factor is the speed decreased if two such cords are twisted together so that the mass per unit length is doubled? V2 = X VI 3. A guitar string is L = 90 cm long and has a mass of 3.6 g. The distance from the bridge to the support post is = 62 cm, and the string is under a tension of 520 N. What are the frequencies of the fundamental and first two overtones? (a) Sketch the string oscillating in the fundamental and first two overtones. n = 1 n = 2 n = 3 (b) Calculate the mass per unit length, u=m/L= kg/m (use entire length, L) (c) Write down the equation(s) giving the harmonic frequencies of waves on a string (Eq. 16-28 and 16-29) - use vibrating length only, . (d) Calculate the fundamental frequency with n = 1, f₁ = Hz. (vibrating length, ) (e) Calculate frequencies for n = 2 and n = 3 by doubling and tripling the fundamental. f₂ = Hz f3 = Hz 15
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