You attach a speaker to an air track cart and then attach the cart to one end of

Question

You attach a speaker to an air track cart and then attach the cart to one end of the air track by means of a spring and start the system oscillating by stretching the spring 0.577 m from its equilibrium position and then releasing it. The force constant for the spring is k = 41.8 N/m, the total mass of the speaker and air track cart are 4.00 kg, and the speaker emits sound with a frequency of 445 Hz. If your lab partner Pat stands at the end of the air track, determine the highest and lowest frequencies she hears. The speed of sound in air is 343 m/s. (Enter your answers to at least the nearest Hz.) highest frequency Hz lowest frequency Hz

Explanation / Answer

f = f0 ±f

here f =w/2*pi = (1/2*pi) *root(k/m)

=(1/2*pi)*root(41.8/4)

=0.5147

The heighest frequency,

fmax=f0 +f = 445.5147 Hz =446 Hz

The lowest frequency,

fmin = f0 -f = 444.4852 Hz =444 Hz

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