A piano string having a mass per unit length equal to 4.50 times 10^-3 kg/m is u

Question

A piano string having a mass per unit length equal to 4.50 times 10^-3 kg/m is under a tension of 1,500 N. Find the speed with which a wave travels on this string. m/s A group of hikers hears an echo 4.50 s after shouting. How far away is the mountain that reflected the sound wave? (Assume the speed of sound is 348.7 m/s.) m A sound wave from a siren has an intensity of 115.2 W/m^2 at a certain point, and a second sound wave from a nearby ambulance has an intensity level 8 dB greater than the siren's sound wave at the same point. What is the level of the sound wave due to the ambulance? dB A train sounds its horn as it approaches an intersection. The horn can just be heard at a level of 52 dB by an observer 10 km away. (a) What is the average power generated by the horn? W (b) what intensity level of the horn's sound is observed by someone waiting at an intersection 46 m from the train? Treat the horn as a point source and neglect any absorption of sound by the air. dB

Explanation / Answer

here,

7)

tension , T = 1500 N

mass per unit length , u = 4.5 * 10^-3 kg/m

the speed with which the wave travel on this string , v = sqrt(T/u)

v = sqrt(1500 / 0.0045) m/s

v = 577.4 m/s

the speed with which the wave travel on this string is 577.4 m/s

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