Find the number of beats produced per sec by the vibrations `x_1=A sin (320 pi t)` and `x_2=A sin(326 pi t)`.

Explanation

To find the number of beats produced per second by the vibrations given by the equations \( x_1 = A \sin(320 \pi t) \) and \( x_2 = A \sin(326 \pi t) \), we can follow these steps:

### Step 1: Identify the angular frequencies
The angular frequency \( \omega \) is related to the frequency \( f \) by the formula:
\[ \omega = 2 \pi f \]
For the first wave \( x_1 = A \sin(320 \pi t) \), we can identify:
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