Why is this wrong? Wave frequencies

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SUMMARY

The discussion centers on calculating the frequency of a wave represented by the equation Δp = (1.3 Pa) sin π[(3.00 m^-1)x - (300 s^-1)t]. The user initially calculated the angular frequency as 300 s^-1, which is equivalent to 300 hertz. However, the user incorrectly derived the frequency as 47.746 hertz instead of the correct value of 47.746 hertz, indicating a misunderstanding in the conversion process. The confusion arises from the user's struggle with the formula substitution and unit representation in the equation.

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Homework Statement



Δp = (1.3 Pa) sin π[(3.00 m^-1)x - (300 s^-1)t].

Is the pressure of a wave.

Find frequency

Homework Equations





The Attempt at a Solution



Angular frequency = 300s^-1 = 300 hertz.

Frequency = angular frequency / 2pi = 47.746

Someone, please explain how I managed to screw up that very simple equation.
 
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1MileCrash said:

Homework Statement



Δp = (1.3 Pa) sin π[(3.00 m^-1)x - (300 s^-1)t].

Is the pressure of a wave.

Find frequency

Homework Equations





The Attempt at a Solution



Angular frequency = 300s^-1 = 300 hertz.

Frequency = angular frequency / 2pi = 47.746

Someone, please explain how I managed to screw up that very simple equation.

Can you explain what the red bit is all about.

[Note: it may be some modern technique, but I hate it when a formula substitution is full of individual units. Makes trying to read it next to impossible. Even if the formula you were about to substitute into was written first would be a help]
 

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