a. Find the speed of a wave on a string given by y (x, t) = (3.00 mm) sin [(7.0/

Question

a. Find the speed of a wave on a string given by y (x, t) = (3.00 mm) sin [(7.0/s) t - (4.00/m)x)]. b. What can you do to increase the speed of the wave? c. What is the vertical speed of the string at a point located 0.2m away from the origin at time 0.3s? d. A wave given by y (x, t) = (3.00 mm) sin [(7.0/s) t - (4.00/m)x + pi/2] is created on another identical string. What is different and what is the same in these two waves? Describe as completely as possible. 15. According to Guinness, the record for the loudest burp is held by Paul Hunn of London, in September of 2008, his burp was measured at 107.1 dB, Determine the intensity in W/m2 of Paul's burp. 16. The sound intensity level 1.0 m from a person talking in a normal conversational voice is 60dB. Suppose you are outside, 100 m from the person speaking. If It Is a very quiet day with very minimal background noise, will you be able to hear him or her? 17. On a good night, the front row of the Twisted Sister concert would surely result in a 120 dB sound level. An IPod produces 100 dB. How many IPods would be needed to produce the same intensity as the front row of the Twisted Sister concert?

Explanation / Answer

14. (a) v = w / k

and w = 2 pi f

k = 2 pi / lambda

v = lambda f

to increase the speed, increase wavelength Or frequency or both .

(b) vy = d(y)/dt = (3 x 7 mm/s) sin[ 7 t - 4 x ]

putting t= 0.3 s and x = 0.2 s

vy = 21 mm/s sin[ 2.1 - 0.8 ] = 20.2 mm/s

(c) both have same amplitude.

same frequency.

same wavelength.

only difference is phase of wave.

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