Question

the equation of a simple harmonic oscillator may be written as $$a={-}\omega^{2}×$$ (the symbol have their usual meaning).in experiment to determine the period of oscillation of a loaded spiral spring T,which of the following is the correct relationship between T and $$\omega$$

Answer 1

Answer on Question #59260-Physics-Mechanics-Relativity

The equation of a simple harmonic oscillator may be written as $a = -\omega^2 x$ (the symbol has their usual meaning). In experiment to determine the period of oscillation of a loaded spiral spring $T$ , which of the following is the correct relationship between $T$ and $\omega$

$$T = \omega$$ $$T = 2 \pi \omega$$ $$T = 2 \pi / \omega$$ $$T = \pi / \omega$$

Answer: $T = \frac{2\pi}{\omega}$

The frequency of oscillations is

$$f = \frac {\omega}{2 \pi}.$$

The period of oscillations is

$$T = \frac {1}{f} = \frac {1}{\frac {\omega}{2 \pi}} = \frac {2 \pi}{\omega}.$$

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