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Unformatted text preview: Answer the following questions based on the following figure. 1. What is the peak amplitude of this wave? + 5 or -5 1. 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 1. Based on the above values, calculate the RMS amplitude of this wave. 0 2. 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. Calculate the frequency and time period of the following wave. Frequency: 10 cycles/1 s = 10 Hz Time period: 1/10 = 0.1 s Answer the following questions. 1. Wave A has a frequency of 100 Hz. Wave B completes one cycle in 10 s. What can be said about the two waves? a. They have the same frequency b. They have the same amplitude c. Wave A has a higher frequency than wave B d. 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) 2. 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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