Why is this wrong? Wave frequencies

In summary, the conversation is about finding the frequency of a wave using the equation Δp = (1.3 Pa) sin π[(3.00 m^-1)x - (300 s^-1)t]. The person attempted to find the frequency by calculating the angular frequency and then dividing it by 2pi, but they are unsure of how they made a mistake in their calculation. They also express frustration with using individual units in formula substitutions, making it difficult to read.
  • #1
1MileCrash
1,342
41

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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  • #2
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]
 

1. Why do we need to study wave frequencies?

Studying wave frequencies allows us to understand and predict the behavior of various types of waves, such as electromagnetic waves and sound waves. This knowledge is crucial in fields such as communication, medicine, and engineering.

2. How do wave frequencies affect our daily lives?

Wave frequencies play a significant role in our daily lives, even if we are not aware of it. They are responsible for the transmission of information through cell phones, television, and radio. They also allow us to hear and produce sounds, and they are used in medical imaging techniques such as ultrasounds.

3. What are some common misconceptions about wave frequencies?

One common misconception is that higher frequencies are always better. While high frequencies can carry more information, they also have a shorter range and are more easily blocked by obstacles. Another misconception is that all waves travel at the same speed, when in reality, the speed of a wave depends on its frequency and the medium it is traveling through.

4. How can understanding wave frequencies help us in technology development?

Understanding wave frequencies allows us to design and develop more efficient and effective technologies. For example, in wireless communication, knowledge of wave frequencies helps engineers determine the best frequency to use for a specific application, taking into account factors such as range, interference, and bandwidth.

5. What are some real-world applications of wave frequencies?

Wave frequencies have a wide range of applications, including wireless communication, satellite technology, medical imaging, and radar. They are also used in everyday devices such as remote controls, microwave ovens, and GPS systems. In addition, wave frequencies are crucial in studying and understanding natural phenomena such as earthquakes and weather patterns.

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