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Two vibrating tuning forks produce waves...

Two vibrating tuning forks produce waves whose equation is given by `y_(1) = 5 sin (240 pi t)` and `y_(2) = 4 sin (244 pi t)` . Compute the number of beats per second .

Text Solution

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Given `y_(1) = 5 sin (240 pi t) ` and `y_(2) = 4 sin (244 pi t)`
Comparing with `y = A sin (2 pi f_(1) t)` , we get
`2pi f_(1) = 240 pi implies f_(1) = 120 Hz`
`2pi f_(2) = 244 pi implies f_(2) = 122 Hz`
The number of beats produced is `|f_(1) - f_(2)| = |120 - 122| = |-2| = 2 ` beats per sec
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