Two piano strings are supposed to be vibrating at 220 Hz, but a piano tuner hear

Question

Two piano strings are supposed to be vibrating at 220 Hz, but a piano tuner hears three beats every 2.5 s when they are played together. If one is vibrating at 220 Hz, what must be the frequency of the other (is there only one answer? Express your answer using four significant figures. If there is more than one answer, enter them in ascending order separated by Commas. By how much (in percent must the tension be increased or decreased to bring them in tune? Express your answer using two significant figures. If there is more than one answer, enter them in ascending order separated by Commas.

Explanation / Answer

frequency f = (1/2L)*sqrt(T/u)

f2/f1 = sqrt(T2/T1)

T2/T1 = (f2/f1)^2

(T2-T1)/T1 = (f2/f1)^2-1

dT/T = ( (218.8/220)^2 - 1 )*100 = 1.1 % <<<<-------answer

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

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