Complete each of the following problems below. You must show work for all parts

Question

Complete each of the following problems below. You must show work for all parts of receive full and any partial edit. Begin with equations. There are 5 singers, including Taylor Swift, at a concert singing at an 80 dB intensity level when you are seated 5 m for the stage. If each voice has the same intensity level, solve for: Talyor's intensity level in dB at a distance of 50 m from the stage, what is the new intensity level in dB? I_o = 10^-12 n/m^2 x= 50m Not original time a test dB = 10 log_10 (I/I_O) 80 = 10 log_(I/10^-12) 80/10 8 = log_10 (3/10^-12) 10 l= I/10^-12 I = 10^8 (10^-12) I = .001 n/m^2 I_2 = I_1 (/r_2)^2 I (0.001) (5/5.)^2 I_5 = 5 (I) I = .005 n/m^2 I = k/d^2

Explanation / Answer

Given L = 80 dB

We know L = 10 log (I/Io)

80 = 10 log(I/Io)

8 = log(I/Io)

I/Io = 10 8

I = Io 10 8   Where Io = reference intensity = 10 -12 W/m 2

= 10 -12 10 8

= 10 -4

Intensity of taylor I ' = I/5

= 2x10 -5 W/m 2

Intensity level of Taylor L ' = 10 log ( I ' / Io)

= 10 log [(2x10 -5) /10 -12 ]

= 10 log (20x10 6)

= 10 (7.301)

= 73.01 dB

(b).Intensity at 5 m distance I = 10 -4 W/m 2

Intensity at 50 m distance I " = ?

We know I " / I = (r / r ") 2

= (5/50) 2

= (1/10) 2

= 1/100

I" = (1/100) I

= 10 -6 W/m 2

Required intensity level L " = 10 log ( I " / Io)

= 10 log (10 -6 /10 -12 )

= 60 dB

Related Questions

Navigate

• Browse (All)
• Browse C
• Subjects

---

---

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