What Is the Initial Phase Angle Beta in Wave Propagation?

In summary, the conversation discusses a wave propagating down a string with a diameter of 0.0013 m and a density of 5240 kg/m3. The wave has a specific form with given values for A, w, and k. The velocity of propagation is 0.825967 m/s and the transverse speed at a specific point and time is 0.177606 m/s. The question asks for the initial phase angle beta, assuming a certain condition, and the individual has attempted to solve it using a formula but received an incorrect answer. They are advised to double-check their signs and consider the derivative of -wt.
  • #1
efairall
3
0
A wave is propagating down a string having a diameter of 0.0013 m and a density of
5240 kg/m3. The wave has the form y = A sin(k x - w t + beta)
where A = 0.011 m, w = 59.8 rad/s, and k = 72.4 rad/m.
the velocity of propagation of the wave is 0.825967 m/s

The transverse speed @ y/@t is 0.177606 m/s at x = 0.0102762 m and t = 0.00385686 s.
What is the initial phase angle beta if we assume that 0 < k x - w t + beta < pi ?
Answer in units of rad.
 
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  • #2
What have you attempted so far towards solving this?
 
  • #3
i have used the formula.. zy/zt =wAcos((kx - wt + (beta))
and solved for beta. i got an answer 0.78 and it was wrong.
 
  • #4
Double-check your +/- signs, what's the derivative of -wt?

You're on the right track.
 

FAQ: What Is the Initial Phase Angle Beta in Wave Propagation?

1. What is the initial phase angle in regards to homework help?

The initial phase angle is a measurement used in trigonometry to describe the starting point of a wave or oscillation. In the context of homework help, it may refer to the starting point or beginning stage of a project or assignment.

2. How is the initial phase angle calculated?

The initial phase angle is typically calculated using a trigonometric function, such as the tangent or sine function. It is determined by the relationship between the starting point of the wave or oscillation and the horizontal axis.

3. Why is the initial phase angle important in homework help?

The initial phase angle can provide valuable information about the starting point of a project or assignment, allowing for better planning and organization. It can also help to identify any potential challenges or roadblocks that may arise.

4. Can the initial phase angle be negative?

Yes, the initial phase angle can be negative. This occurs when the starting point of the wave or oscillation is below the horizontal axis. It is important to pay attention to the sign of the initial phase angle when using it in calculations or analysis.

5. How can understanding the initial phase angle improve my homework help?

Understanding the initial phase angle can help to improve homework help by providing a clearer understanding of the starting point of a project or assignment. It can also aid in developing effective strategies and overcoming any initial challenges or obstacles.

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