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please help!!! if i could get a response it would be greatly appreciated! please

ID: 1572137 • Letter: P

Question

please help!!! if i could get a response it would be greatly appreciated! please show any equations used and work thank you!

1. Some Conceptual Questions (A) A friend says the wave speed of a wave on a string is the same as the magnitude of the transverse velocity of a point on the string. Explain in 1 sentence why this cannot be true. (B) One friend says that the phase of a wave is a constant for the wave, and another says it can change. What is the phase? How does that resolve your friends conflicts? (C) When you tune a guitar or a violin you turn a peg at one end of the string and the other end stays fixed. Explain what changes and what stays the same for the string as you do this.

Explanation / Answer

The transverse speed is how fast a point on the wave (for example, a section on a piece of string that has a wave traveling through it) moves up and down. The wave speed is how fast the crest or trough of that wave travels horizontally along the x-axis of motion (i.e. how fast does a wave travel from one end of the pool to the other).

The phase of an oscillation or wave is the fraction of a complete cycle corresponding to an offset in the displacement from a specified reference point at time t = 0

x(t) = A.sin(2pi*ft + theta)

where A is the amplitude of oscillation, f is the frequency, t is the elapsed time, and theta is the phase of the oscillation. The phase determines or is determined by the initial displacement at time t = 0. A motion with frequency f has period T = 1/f

and yes it remains constant