HW12 : 8 : Can you help me answer this question: Item 8 A teacher stands well ba

Question

HW12 : 8 : Can you help me answer this question:

Item 8 A teacher stands well back from an outside doorway 0.85m wide, and blows a whistle of frequency 890Hz . Part A Ignoring reflections, estimate at what angle(s) it is not possible to hear the whistle clearly on the playground outside the doorway. Assume 340 m/s for the speed of sound. Express your answer using two significant figures. If there is more than one answer, enter each answer in ascending order separated by a comma. Theta = on either side of the normal

Explanation / Answer

The wavelength of the sound wave is

lamda = 340 m/s / 890 Hz = 0.382 m

The angle of minimum theta is

d sin ( theta ) = m lamda

theta = sin ^ -1 [ ( 1) ( 0.382 m ) / 0.85 m ]

=26.7 degrees

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