iran-konkur 2018 Q187

iran-konkur · Other · konkur-riazi_1397_specialized Not Maths
187- The position–time graph of a simple oscillator is shown in the figure below. If the maximum speed of the oscillator at the moment of passing through the center of oscillation is $2\pi\,\dfrac{\text{m}}{\text{s}}$, what is the velocity–time equation in SI?
[Figure: position–time graph of simple harmonic motion with amplitude $A$ and $-\dfrac{\sqrt{3}}{2}A$, period approximately $\dfrac{1}{24}$ s]
(1) $V = 2\pi\cos 20\pi t$
(2) $V = 4\pi\cos 20\pi t$
(3) $V = 2\pi\cos 40\pi t$
(4) $V = 4\pi\cos 40\pi t$
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\textbf{187-} The position–time graph of a simple oscillator is shown in the figure below. If the maximum speed of the oscillator at the moment of passing through the center of oscillation is $2\pi\,\dfrac{\text{m}}{\text{s}}$, what is the velocity–time equation in SI?

\textit{[Figure: position–time graph of simple harmonic motion with amplitude $A$ and $-\dfrac{\sqrt{3}}{2}A$, period approximately $\dfrac{1}{24}$ s]}

\begin{center}
(1) $V = 2\pi\cos 20\pi t$\\
(2) $V = 4\pi\cos 20\pi t$\\
(3) $V = 2\pi\cos 40\pi t$\\
(4) $V = 4\pi\cos 40\pi t$
\end{center}

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\textit{Calculation space}
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