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Answer the following questions based on the following figure.

Answer the following questions based on the following figure. What is the peak amplitude of this wave? + 5 or -5 What is the instantaneous amplitude of this wave at the following times: 0, 0.75, 1.5, 2.25, and 3 seconds? 0, 0, 0, 0, and 0

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Answer the following questions based on the following figure.

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  1. Answer the following questions based on the following figure.

  2. What is the peak amplitude of this wave? + 5 or -5 • What is the instantaneous amplitude of this wave at the following times: 0, 0.75, 1.5, 2.25, and 3 seconds? 0, 0, 0, 0, and 0 • Based on the above values, calculate the RMS amplitude of this wave. 0 • Would the RMS amplitude be different if instantaneous amplitudes at times 0.125, 0.625, 1.125, 1.625, and 2.125 s were used? Yes, because the instantaneous amplitude at each of these points is + 5. Based on these values, the RMS amplitude is 5. • In your opinion, is it better to pick fewer or more points to calculate RMS amplitudes? The most accurate RMS value is obtained if a large number of instantaneous amplitudes is picked. More important, these points must be close to each other. For example, if 100 points between times 0 and 0.5 s are picked, this gives a more accurate RMS value than if only 10 points are picked.

  3. Calculate the frequency and time period of the following wave. Frequency: 10 cycles/1 s = 10 Hz Time period: 1/10 = 0.1 s

  4. Answer the following questions. • Wave A has a frequency of 100 Hz. Wave B completes one cycle in 10 s. What can be said about the two waves? • They have the same frequency • They have the same amplitude • Wave A has a higher frequency than wave B • Wave B has a higher frequency than wave A • Wave C completes 300 cycles in 30 seconds. Calculate the time period and frequency of this wave. If the wave completes 300 cycles in 30 seconds, it will take 0.1 s (30/300) to complete one cycle. Hence, the time period is 0.1 s. The frequency of this wave is 10 Hz. This can be calculated either using number of cycles per second (300/30) or by taking the reciprocal of the time period (1/0.1)

  5. Plot the waveform (time and displacement on horizontal and vertical axes, respectively) of wave C showing at least three complete cycles. Assume that the peak displacement of wave C is 10 mm. Frequency: 10 Hz, Time period: 0.1 s, Peak displacement: 10 mm Can be drawn in any of the following ways.

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