Question

How far does the sound travel in air when a tuning fork of frequency 560 Hz makes 30 vibrations? Given speed of sound in air = 336 m/s.

Answer 1

18 m

Answer 2

To find the distance traveled by sound, we first need to determine the total time for the given number of vibrations.

1. Calculate the time period (T): The time period is the reciprocal of the frequency. Given frequency (f) = 560 Hz. $T = \frac{1}{f} = \frac{1}{560} \text{ s}$

2. Calculate the total time (t) for 30 vibrations: The tuning fork makes 30 vibrations. Total time (t) = Number of vibrations × Time period $t = 30 \times T = 30 \times \frac{1}{560} = \frac{30}{560} = \frac{3}{56} \text{ s}$

3. Calculate the distance traveled (d): Distance = Speed × Total time Given speed of sound (v) = 336 m/s. $d = v \times t = 336 \text{ m/s} \times \frac{3}{56} \text{ s}$ $d = \frac{336 \times 3}{56}$ Since $336 = 6 \times 56$: $d = 6 \times 3 = 18 \text{ m}$

The sound travels 18 meters.