**Part A**. What is the amplitude of the oscillation shown in (Figure 1) ?

**Part B**.What is the frequency of the oscillation shown in the figure?

**Part C**. What is the phase constant of the oscillation shown in the figure? Suppose that ?180? ? ?0 ?180?.

### Answer

**A)** Find the amplitude of oscillation as follows:

`A=10 \mathrm{~cm}`

**B)** Find the frequency of oscillation as follows:

`\begin{aligned} f &=\frac{1}{T} \\ &=\frac{1}{4} \\ &=0.25 \mathrm{~Hz} \end{aligned}`

**C)** Find the phase constant of oscillation as follows:

`x=A \sin (\omega t+\phi)`

`-5=10 \sin (2 \pi(0.25)+\phi)`

`\sin (2 \pi(0.25)+\phi)=-0.5`

`(2 \pi(0.25)+\phi)=\sin ^{-1}(-0.5)`

`\left(90^{\circ}+\phi\right)=-30^{\circ}`

`\phi=-120^{\circ}`