Question

An explosion occurs at the end of a pier. The sound reaches the other end of the pier by traveling through three media: air, fresh water, and a slender metal handrail. The speeds of sound in air, water, and the handrail are 355, 1480, and 5490 m/s, respectively. The sound travels a distance of 117 m in each medium. (a) After the first sound arrives, how much later does the second sound arrive

Answer 1

0.05773 sec

Step-by-step explanation:

We know that

time = distance/speed = d/V

for air

t1 = 117/355 = 0.3295 sec

for fresh water

t_2 = 117/1480 = 0.07905 sec

for metal

t_3 = 117/5490 = 0.02131 sec

So as we can see sound will reach through metal hand rail 1st, then through fresh water and then through air

1st = metal hand rail

2nd = fresh water

3rd = air

time difference between 1st and 2nd sound = t_2 - t_3 = 0.07905 - 0.02131 = 0.05773 sec