A tuning fork generates sound waves with a frequency of 246Hz. The waves travel

Question

A tuning fork generates sound waves with a frequency of 246Hz. The waves travel in opposite directions along a hallway, arereflected by end walls, and return. The hallway is 47 m long andthe tuning fork is located 14 m from one end. What is the phasedifference between the reflected waves when they meet at the tuningfork? The speed of sound in air is 343 m/s. Please show all steps on how to get the solution. Answer is91.3 degrees. Will give highest rating!!!! Please Help!!! A tuning fork generates sound waves with a frequency of 246Hz. The waves travel in opposite directions along a hallway, arereflected by end walls, and return. The hallway is 47 m long andthe tuning fork is located 14 m from one end. What is the phasedifference between the reflected waves when they meet at the tuningfork? The speed of sound in air is 343 m/s. Please show all steps on how to get the solution. Answer is91.3 degrees. Will give highest rating!!!! Please Help!!!

Explanation / Answer

frequency of sound waves f = 246 Hz The hallway is l = 47 m long and the tuning fork is located d= 14 m from one end. The speed of sound in air is v = 343 m/s. For sinusoidal waves,the variation in the position of anelement of the medium is s(x,t) = smax * cos(kx - wt) s(x,t) = 14 m,smax= 47 m,kx = (2/) * x= (2 * 3.14/47) * 14 = 1.87 and wt = or 14 = 47 * cos(1.87 - ) or cos(1.87 - ) = (14/47) or (1.87 - ) = cos-1(14/47) or = 70.8o

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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