I need these two answered within the next 45 minutes if possible: 1.) A 256 Hz t

Question

I need these two answered within the next 45 minutes if possible:

1.) A 256 Hz tuning fork produces the first harmonic in a tube filled with air and having one closed and one open end.  If the tube were filled with helium where the speed of sound is 965 m/sec, what frequency would be needed to produce the first harmonic?  Assume the speed of air at the same temperature is 330 m/sec.

2.) If a guitar string has a tension of 20 newtons and has a mass per unit length of 9.8x10^-4 kg/m, with what speed does a pulse travel down the string?

Explanation / Answer

1) f = v/4*L

256 = 965/(4*L)

L = 965/(4*256) = 0.9424 m

f = v/(4*L) = 330/(4*0.9424) = 87.54 Hz

2)

v = sqrt(T/d) = sqrt(20/(9.8*10^-4)) = 142.86 m/s

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.