A taut string has a tension of 75 N. Its mass is 15 kg and itslength is 12 m. Co

Question

A taut string has a tension of 75 N. Its mass is 15 kg and itslength is 12 m. Consider the string to be fixed at both ends.

(a)        Find the wavespeed, v.

(b)        A tuning fork offrequency 225 Hz is momentarily touched to the string, which beginsto vibrate. Find the wavelength and write the wave function,y(x,t), if the amplitude is 7 mm.

(c)        Write the wavefunction for the reflected wave. Add the incident and reflectedwave functions to produce a function for the net wave.

(d)       Is a standing waveestablished? Explain. What is the transverse displacement at theend of the string, x=L?

Explanation / Answer

A taut string has a tension of 75 N. Its mass is 15 kg and itslength is 12 m. Consider the string to be fixed at both ends.

(a)        Find the wavespeed, v.

linear density=m=mass/length=15/12=1.25kg/m

velocity=T/m=75/1.25=7.745m/sec

(b)        A tuning fork offrequency 225 Hz is momentarily touched to the string, which beginsto vibrate. Find the wavelength and write the wave function,y(x,t), if the amplitude is 7 mm

wavelength=v/n=7.745/225=3.442cm

y=0.007.sin wt

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

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