In: Physics
A mechanic is trying to tune the engines in a twin engine plane much like a string instrument can be tuned by listening to the beat frequency when two notes are played simultaneously. The mechanic has one engine running perfectly at a desired 4500 rpm and is trying to adjust the other to the same speed. He slowly detunes the second engine from a larger rpm until he first discerns a beat frequency amplitude that occurs once every 12 s. To what rpm is the second engine tuned? The answer is 4505 rpm
Consider the frequency of larger rpm as F
4500 rpm = 4500/60 = 75 Hz
Beat frequency, f = 1/12 = 0.0833 Hz
F - 75 = 0.0833
F = 75 + 0.833
= 75.833 Hz
= 75.833 x 60 rpm
= 4505 rpm