Conceptual Problems with Position-Time Graphs Video Lessons

Concept

# Problem: Part AWhat is the amplitude of the oscillation shown in the figure? (Figure 1)Express your answer to three significant figures and include the appropriate units.Part BWhat is the frequency of this oscillation?Express your answer to two significant figures and include the appropriate units.Part CWhat is the phase constant?Express your answer to two significant figures.

###### FREE Expert Solution

The amplitude:

$\overline{){\mathbf{A}}{\mathbf{=}}{{\mathbf{x}}}_{\mathbf{m}\mathbf{a}\mathbf{x}}}$

Frequency:

$\overline{){\mathbf{F}}{\mathbf{=}}\frac{\mathbf{1}}{\mathbf{T}}}$

The general wave equation of a sinusoidal wave:

$\overline{){\mathbf{x}}{\mathbf{=}}{\mathbf{A}}{\mathbf{c}}{\mathbf{o}}{\mathbf{s}}{\mathbf{\left(}}{\mathbf{\omega }}{\mathbf{t}}{\mathbf{+}}{\mathbf{\varphi }}{\mathbf{\right)}}}$

Part A

From the graph, the maximum value of x is 20 cm

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###### Problem Details

Part A

What is the amplitude of the oscillation shown in the figure? (Figure 1)

Express your answer to three significant figures and include the appropriate units.

Part B

What is the frequency of this oscillation?

Express your answer to two significant figures and include the appropriate units.

Part C

What is the phase constant?