honest 2. A cord of mass 0.55 kg is stretched between two supports 30 m apart. The tension in the cord is 150 N. m/s (Eq. 16-3) (a) Determine the speed of wave pulses on the cord. v= S (b) How long does it take a pulse to travel from one end to the other? X VI (c) By what factor is the speed increased if the tension is doubled? v₂ = (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

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Can you help me with number 2 please.
Physics 141
Worksheet Chapter 16 (due Wed 6/1, noon)
Name:
Box#:
1. AM radio signals have frequencies between 550 kHz and 1600 kHz and travel with the speed
of light (c=3x108 m/s). What are the wavelengths of these two extreme frequency signals?
shortest =
m Monges =
m (note: smallest freq)
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)
(b) How long does it take a pulse to travel from one end to the other?
S
(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, 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, l.
(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
Transcribed Image Text:Physics 141 Worksheet Chapter 16 (due Wed 6/1, noon) Name: Box#: 1. AM radio signals have frequencies between 550 kHz and 1600 kHz and travel with the speed of light (c=3x108 m/s). What are the wavelengths of these two extreme frequency signals? shortest = m Monges = m (note: smallest freq) 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) (b) How long does it take a pulse to travel from one end to the other? S (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, 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, l. (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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