Question

In: Physics

A mechanic is trying to tune the engines in a twin engine plane much like a...

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

Solutions

Expert Solution

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

genius_generous answered 2 years ago
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