Question #47917

A geologist is camped 7570 m (4.70 miles) from a volcano that erupts. How much time elapses before the geologist hears the sound from the eruption?

A) 4.70s B) 344s C) 22.0s

D) 0.014s E) 7570s
1

Expert's answer

2014-10-23T01:34:24-0400

Answer on Question #47917, Physics, Mechanics | Kinematics | Dynamics

Question:

A geologist is camped 7570 m (4.70 miles) from a volcano that erupts. How much time elapses before the geologist hears the sound from the eruption?

A) 4.70s

B) 344s

C) 22.0s

D) 0.014s

E) 7570s

Answer:

Speed of sound in air equals c=340m/sc = 340 \, \text{m/s}. Therefore time elapses before the geologist hears the sound from the eruption:


t=dct = \frac{d}{c}


where dd is distance to the volcano.


t=7570m340ms=22st = \frac{7570 \, \text{m}}{340 \, \frac{\text{m}}{\text{s}}} = 22 \, \text{s}


Answer: C) 22.0s

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