Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

I drive my car at V= 18 m/s down a road. Two motorcycles are also driving down t

ID: 1512518 • Letter: I

Question

I drive my car at V= 18 m/s down a road. Two motorcycles are also driving down the road, both at 20 m/s. When one motorcycle is ahead of me, and one is behind me, I hear a beat frequency. The motorcycles' engines both produce a frequency of 400 Hz. The speed of sound is 344 m/s. a.) What frequency do I hear from the motorcycle behind me? b.) What frequency do I hear from the motorcycle ahead of me? c.) What beat frequency do I hear? Continuing.. When a motorcycle is 3m away, the intensity of the sound from the engine is 0.6 w/m^2. d.) what is the sound intensity level( in decibels) of a single motorcycle engine at 3m? e.) If both motorcycles are 3 m away, what is the sound intensity level (in decibels) of the sound from both of their engines combined? (hint: it is not twice the answer of part d)

Explanation / Answer

f = (c+Vr)fo/(c+vs)
a) f = (344+18)400/(344-20) = 446.91 Hz
b) f = (344+18)400/(344+20) = 397.80 Hz
c) fbeat = f1-f2 = 49.107 Hz
d) I = 10*log(0.6/10^-9) = 87.781 db