Question

You are hiking along a trail in a wide, dry canyon where the outdoor temperature is T = 27° C. To determine how far you are away from the canyon wall you yell “Hello” and hear the echo t = 2.75 s later.

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. v = 348.2 Correct! A33% Part (b) How far are you from the canyon wall, in meters? D= Grade Summary Deductions 0% Potential 100% I E sin() cotan atan cosh cos tano) asin() acos acotan sinh t anh) cotanh() Degrees Radians ( 7 8 4 5 1 2 + - 0 VO BACKSPACE 9 HOME 6 3 . END DEL CLEAR Submissions Attempts remaining: 5 (3% per attempt) detailed view Submit Hint Feedback I give up! Hints: 0% deduction per hint. Hints remaining: 1 Feedback: 0% deduction per feedback. 33% Part (c) If you stood at the same point on a cold morning where the temperature was T2 = -4.5 degrees C, how long would it have taken for you to hear the echo, in seconds?

Answer 1

Son: P9 - Part a) Calculate the speed of sound in the valley, if speed at 0°c is 332 m/s. Wall T = 27°C V-Vot 0.6T - V = 332 m/s + 0.6* 27°C V = 348.2 m/s part (6) The distance travelled by the sound to return to the person is dad i. 2d. Also, time taken is 2.75 5. Thus, calculate the distance of the person from the canyon Well :- 2d - vx & d = vet - 348.2 x 2.75 Id = 478.775 m. part c- calculate speed of sound if T = -4.5°c. V = 332 m/s + 0.6 (-4.5) - 329.3 m/s Now, calculate the time taken zd =vx t t = 20 to hear the echo. = 2 x 478.775 m. 329 3 m/s t = 2.91s