Please help me... I have no idea where to begin...A tone of 4000 Hz is being played on a tuning fork. You run toward the tuning fork at 5 m/s. What frequency do you hear? Take the speed of sound to be 343 m/s.
this is the Doppler effect (google it)
the pitch (frequency) is higher because you are moving toward the source
f = [343 / (343 - 5)] * 4000
To determine the frequency that you hear when approaching a tuning fork, you can use the concept of Doppler Effect. The Doppler Effect explains how the frequency of a wave changes when the source of the wave and the observer are in relative motion.
In this case, you are moving towards the tuning fork. When an object is moving towards the source of a sound, the frequency of the sound appears higher to the moving object. The formula for the observed frequency, taking into account the Doppler Effect, is:
f' = (v + Vo) / (v + Vs) * f
where:
f = the actual frequency of the source (4000 Hz in this case)
f' = the observed frequency
v = speed of sound (343 m/s)
Vo = velocity of the observer (5 m/s in this case, as you are running towards the tuning fork)
Vs = velocity of the source (0 in this case, as the tuning fork is stationary)
Plugging in the given values into the formula, we get:
f' = (343 + 5) / (343 + 0) * 4000
= 348 / 343 * 4000
≈ 4079 Hz
Therefore, you would hear the frequency of approximately 4079 Hz when running towards the tuning fork at a speed of 5 m/s.