1.) Normal Modes a.) A guitar string fixed at both ends has a length of 63.5 cm and a mass of 1.41 g. A tension of 205 N is applied to the string. Calculate the velocity of waves traveling along the string and the frequency of the second harmonic (n = 2). How many antinodes does the string contain when it supports the fourth harmonic (n = 4) normal mode? b.) A 65.0 cm long tube (closed at one end) produces three harmonics. Determine an average value for the speed of sound inside the tube. Use the equation to estimate the molar mass of the gas inside the tube. (R= 8.314 J/K mol, y = 1.40, T = 295 K) f5 = 650 Hz f = 920 Hz fg = 1180 Hz YRT V= VM c.) When a wave is transmitted from one medium to another, the frequency does not change. True or False?
1.) Normal Modes a.) A guitar string fixed at both ends has a length of 63.5 cm and a mass of 1.41 g. A tension of 205 N is applied to the string. Calculate the velocity of waves traveling along the string and the frequency of the second harmonic (n = 2). How many antinodes does the string contain when it supports the fourth harmonic (n = 4) normal mode? b.) A 65.0 cm long tube (closed at one end) produces three harmonics. Determine an average value for the speed of sound inside the tube. Use the equation to estimate the molar mass of the gas inside the tube. (R= 8.314 J/K mol, y = 1.40, T = 295 K) f5 = 650 Hz f = 920 Hz fg = 1180 Hz YRT V= VM c.) When a wave is transmitted from one medium to another, the frequency does not change. True or False?
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Transcribed Image Text:1.)
Normal Modes
a.) A guitar string fixed at both ends has a length of 63.5 cm and a mass of 1.41 g. A
tension of 205 N is applied to the string. Calculate the velocity of waves traveling along
the string and the frequency of the second harmonic (n = 2). How many antinodes does
the string contain when it supports the fourth harmonic (n = 4) normal mode?
b.) A 65.0 cm long tube (closed at one end) produces three harmonics. Determine an
average value for the speed of sound inside the tube. Use the equation to estimate the
molar mass of the gas inside the tube. (R= 8.314 J/K mol, y = 1.40, T = 295 K)
f5 = 650 Hz
f = 920 Hz
fg = 1180 Hz
V =
YRT
M
c.) When a wave is transmitted from one medium to another, the frequency does not
change. True or False?
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