(11%) Problem i: You are hiking along a trail in a wide, dry canyon where the ou

Question

(11%) Problem i: You are hiking along a trail in a wide, dry canyon where the outdoor temperature is T 28 C.To determine how far you are away from the canyon wall you yell "Hello" and hear the echo 32slater. Randomized Variables T 28°C t 3.2 s P 4 33% Part (a) Calculate the speed of sound in the valley in meters per second,assuming the speed at 0 C is 332 m/s. Grade Summary Potential 1009 cos0 Attempts remaining: 4 5 6 per attempt cotano a sin0 acos0 detailed view atano acotano sinho cosh0 tanho cotanho O Degrees Radians 0 BACKSPACI I give up! Feedback 25 deduction per feedback. Hints 2% deduction per hint. Hints remaining: I 4 33% Part (b) How far are you from the canyon wall, in meters? have ii a 33% Part (e) If you stood at the same point on a cold mo where the temperature was T, m 45 degrees C, how long would it taken for you to hear the echo, in seconds? Allooniento 2011 Expert TA uc

Explanation / Answer

(A) velocity of sound is propotional to the sqrt(T).

v1 / v2 = sqrt(T1 / T2)

v / 332 = sqrt((273 + 28) / 273)

v = 348.61 m/s

(B) t = 2 d / v

d = v t /2 = (348.61) (3.2) / 2

d = 558 m

(C) v / 332 = sqrt((273 - 4.5) / 273)

v = 329.25 m/s

t = 2 x 558 / 329.25 = 3.39 sec

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