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netineya [11]
2 years ago
8

15 beats are heard in 5 seconds when a piano key and a tuning fork of slightly higher frequency (440 Hz) are struck at the same

time. What is the frequency of the sound emitted by the piano key?
Physics
1 answer:
chubhunter [2.5K]2 years ago
6 0

Answer:

437Hz

Explanation:

if two sound waves have a little difference in frequencies f_{a}     and f_{a}       interfere, the resulting sound wave produces a beat.

Given:

f_{a}=440Hz

 f_{b}=frequency\ of\ the\ sound\ emitted by\ the\ piano\ key

f_{beat}=frequency\ of\ beat

where

f_{beat}=\frac{number\ of\ beat}{time}

f_{beat}=\frac{15beats}{5}=3Hz

f_{beat}=f_{a}-f_{b}

f_{b}=f_{a}-f_{beat} = 440Hz - 3Hz = 437Hz

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Problem: The frequency of an FM radio station is 89.3 MHz. Calculate its period. Part B: From the Library, select the general eq
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The frequency of an FM radio station is 89.3 MHz.

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a tank circuit contains a capacitor and an inductor that produce 30 of reactance at the resonant frequency. the inductor has a q
Romashka-Z-Leto [24]

The total circuit current at the resonant frequency is 0.61 amps

What is a LC Circuit?

  • A capacitor and an inductor, denoted by the letters "C" and "L," respectively, make up an LC circuit, also referred to as a tank circuit, a tuned circuit, or a resonant circuit.
  • These circuits are used to create signals at particular frequencies or to receive signals from more complicated signals at particular frequencies.

Q =15 = (wL)/R

wL = 30 ohms = Xl

R = 2 ohms

Zs = R + jXl = 2 +j30 ohms where Zs is the series LR impedance

| Zs | = 30.07 <86.2° ohms

Xc = 1/(wC) = 30 ohms

The impedance of the LC circuit is found from:

Zp = (Zs)(-jXc)/( Zs -jXc)

Zp = (2+j30)(-j30)/(2 + j30-j30) = (900 -j60)2 = 450 -j30 = 451 < -3.81°

I capacitor = 277/-j30 = j9.23 amps

I Zs = 277/(2 +j30) = (554 - j8,310)/904 = 0.61 - j9.19 amps

I net = I cap + I Zs = 0.61 + j0.04 amps = 0.61 < 3.75° amps

Hence, the total circuit current at the resonant frequency is 0.61 amps

To learn more about LC Circuit from the given link

brainly.com/question/29383434

#SPJ4

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1 year ago
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