If the frequency of a tuning fork is 256 Hz and speed of sound in air is 320 m/s, findhow far does the sound travel when the fork executes 64 vibrations?

Sure, here's how you can solve this problem:

Step 1: Understand the given information. The frequency of the tuning fork is 256 Hz, which means it vibrates 256 times per second. The speed of sound in air is 320 m/s. We need to find out how far the sound travels when the fork executes 64 vibrations.

Step 2: Calculate the time for 64 vibrations. The time for one vibration (period) is the reciprocal of the frequency. So, the time for one vibration is 1/256 = 0.00390625 seconds. Therefore, the time for 64 vibrations is 64 * 0.00390625 = 0.25 seconds.

Step 3: Calculate the distance the sound travels. The distance traveled by the sound is the product of the speed of sound and the time. So, the distance is 320 m/s * 0.25 s = 80 meters.

So, the sound travels 80 meters when the fork executes 64 vibrations.