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poizon [28]
4 years ago
13

while tuning his violin the violinist compares the pitch his string produces to the pitch produced by an electronic tuner if the

tuner produces a note with a frequency of 440 hz and the violine plays a note with a frequency of 443 hz what is the beat frequency produced?
Physics
1 answer:
gayaneshka [121]4 years ago
4 0

Answer:

3 Hz

Explanation:

A beat is the pattern of interference among two waves with frequencies which are different.

The difference of the frequencies of the waves gives us the beat frequency.

Here, one frequency is f_1=440\ Hz, the other frequency is f_2=443\ Hz

So, the beat frequency

\Delta f=|f_1-f_2|\\\Rightarrow \Delta f=|440-443|\\\Rightarrow \Delta f=3\ Hz

The beat frequency that is produced is 3 Hz

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This question is incomplete, the complete question  is;

Write the differential equation that governs the motion of the damped mass-spring system, and find the solution that satisfies the initial conditions specified. Units are mks; γ is the damping coefficient, with units of kg/sec

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Initial displacement is 1 and initial velocity is -2

x" + _____ x' ____x = 0

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the solution that satisfies the initial conditions specified is;

x(t) = c_1e^{-4t}cos(2t) + c_2e^{-4t}sin(2t)

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mx" + γx' + kx = 0

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c₁ = 1, c₂ = 1

the solution that satisfies the initial conditions specified is;

x(t) = c_1e^{-4t}cos(2t) + c_2e^{-4t}sin(2t)

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