HW 11 Begin Date: 7/24/2018 12:05.00 AM D Date: 8/3/2018 11:59.00 PM End Date: 8

Question

HW 11 Begin Date: 7/24/2018 12:05.00 AM D Date: 8/3/2018 11:59.00 PM End Date: 8/32018 11:5900 PM (10% ) Problem 1: Youare hiking along a trail in a wide, dry canyon where the outdoor temperature is T-31 far you are away froem the canyon wall you yell "Hello" and hear the echo 2.5Ss later 5 C. To determine how Randomized Variables T,315"C ent Status here for iled view | | ?33% Part (a) Calculate the speed of sound in the valley in meters per second, assuming the speed at OCís 332 ms. Debatin, 0% Pl 100% | em Status cout() asin() acos() O DegroesRadians 6 Completed - 33% Part (b) How far are you from the canyon wall, .33% Part (c)If you stood at the same point on a cold moning where the temperature was J--KS depees C, how long would it have taken sten? for you to hear the echo, in seconds? 3 6 8 9 command command option

Explanation / Answer

Given

out door temperature T = 31.5 0C

time taken to hear Hello , echo is t = 2.55 s

Part (a)

speed of sound in air at 0 C is v = 332 m/s

from the relation V = 332+0.6 m/s 0C *T

at temperature 31.5 0 C , the speed of sound is

V = 332+0.6*31.5 m/s = 350.9 m/s

Part (b)

the distance from the canyon wall is d = ?

V = 2d/t

2d = V*t

d = V*t/2

d = 350.9*2.55/2 m

d = 447.3975 m/s

Part (c)

now the temperatue is T = -8.5 0C

the speed is  

V = 332+0.6*(-8.5) m/s

V = 326.9 m/s

time ,t = 2d/v =2*447.3975/326.9 s

t = 2.7372 s

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