**Oscillation Period Calculation**An object is oscillating as depicted in the graph below. What is the period? Assume that all answers have units of seconds.**Graph Description:**The graph displays a sinusoidal wave representing the oscillation of an object over time. The horizontal axis is labeled "t (sec)" and represents time in seconds, while the vertical axis is labeled "x(t)" and represents the position of the object. - The waveform begins above the time axis, reaches a peak at approximately 2 seconds, crosses the axis again at about 5 seconds, and reaches a trough around 8 seconds. - It peaks again at approximately 11 seconds and completes a full cycle at around 14 seconds. - The amplitude (maximum displacement from the equilibrium) appears to be 2 units. **Options for the Period:**Please select one of the following answers:- \(10\pi \, s\)- \(\frac{1}{10} \, s\)- \(10 \, s\)- \(\frac{\pi}{5} \, s\)The period of the wave is the time taken to complete one full oscillation cycle. In this graph, it corresponds to the distance along the time axis between two successive peaks or troughs, which appears to be 10 seconds.

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Description: **Oscillation Period Calculation**An object is oscillating as depicted in the graph below. What is the period? Assume that all answers have units of seconds.**Graph Description:**The graph displays a sinusoidal wave representing the oscillation of a

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An object is oscillating as depicted in the graphs below. What is the period? Assume that all answers have units of seconds. x(t) t (sec) 2 6 8. 10 12 14 -1 10л s 1 10 10 s

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ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

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Chapter1: Units, Trigonometry. And Vectors

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Concept explainers

Simple harmonic motion

Simple harmonic motion is a type of periodic motion in which an object undergoes oscillatory motion. The restoring force exerted by the object exhibiting SHM is proportional to the displacement from the equilibrium position. The force is directed towards the mean position. We see many examples of SHM around us, common ones are the motion of a pendulum, spring and vibration of strings in musical instruments, and so on.

Simple Pendulum

A simple pendulum comprises a heavy mass (called bob) attached to one end of the weightless and flexible string.

Oscillation

In Physics, oscillation means a repetitive motion that happens in a variation with respect to time. There is usually a central value, where the object would be at rest. Additionally, there are two or more positions between which the repetitive motion takes place. In mathematics, oscillations can also be described as vibrations. The most common examples of oscillation that is seen in daily lives include the alternating current (AC) or the motion of a moving pendulum.

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Question

**Oscillation Period Calculation**

An object is oscillating as depicted in the graph below. What is the period? Assume that all answers have units of seconds.

**Graph Description:**

The graph displays a sinusoidal wave representing the oscillation of an object over time. The horizontal axis is labeled "t (sec)" and represents time in seconds, while the vertical axis is labeled "x(t)" and represents the position of the object.

- The waveform begins above the time axis, reaches a peak at approximately 2 seconds, crosses the axis again at about 5 seconds, and reaches a trough around 8 seconds.
- It peaks again at approximately 11 seconds and completes a full cycle at around 14 seconds.
- The amplitude (maximum displacement from the equilibrium) appears to be 2 units.

**Options for the Period:**
Please select one of the following answers:

- \(10\pi \, s\)
- \(\frac{1}{10} \, s\)
- \(10 \, s\)
- \(\frac{\pi}{5} \, s\)

The period of the wave is the time taken to complete one full oscillation cycle. In this graph, it corresponds to the distance along the time axis between two successive peaks or troughs, which appears to be 10 seconds.

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