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 .

Two vibrating tuning forks produce waves whose equation is given by y_

1.	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 .
Answer» Solution :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