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

1.1. What is the peak amplitude of this wave? What is the peak amplitude of this wave?

+ 5 or -5 + 5 or -5

1.1. What is the instantaneous amplitude of this wave at the following times: 0, 0.75, What is the instantaneous amplitude of this wave at the following times: 0, 0.75, 1.5, 2.25, and 3 seconds? 1.5, 2.25, and 3 seconds?

0, 0, 0, 0, and 00, 0, 0, 0, and 0

1.1. Based on the above values, calculate the RMS amplitude of this wave.Based on the above values, calculate the RMS amplitude of this wave.

00

2.2. Would the RMS amplitude be different if instantaneous amplitudes at times 0.125, 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? 0.625, 1.125, 1.625, and 2.125 s were used?

Yes, because the instantaneous amplitude at each of these points is + 5. Yes, because the instantaneous amplitude at each of these points is + 5. Based on these values, the RMS amplitude 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 In your opinion, is it better to pick fewer or more points to calculate RMS amplitudes?amplitudes?

The most accurate RMS value is obtained if a large number of The most accurate RMS value is obtained if a large number of instantaneous amplitudes is picked. More important, these points must instantaneous amplitudes is picked. More important, these points must be close to each other. For example, if 100 points between times 0 and 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 0.5 s are picked, this gives a more accurate RMS value than if only 10 points are picked.points are picked.

Calculate the frequency and time period of Calculate the frequency and time period of the following wave.the following wave.

Frequency: 10 cycles/1 s = 10 HzTime period: 1/10 = 0.1 s

Answer the following questions.Answer the following questions.

1.1. Wave A has a frequency of 100 Hz. Wave B completes one Wave A has a frequency of 100 Hz. Wave B completes one cycle in 10 s. What can be said about the two waves?cycle in 10 s. What can be said about the two waves?a.a. They have the same frequencyThey have the same frequencyb.b. They have the same amplitudeThey have the same amplitudec.c. Wave A has a higher frequency than wave BWave A has a higher frequency than wave Bd.d. Wave B has a higher frequency than wave AWave B has a higher frequency than wave A

2.2. Wave C completes 300 cycles in 30 seconds. Calculate the Wave C completes 300 cycles in 30 seconds. Calculate the time period and frequency of this wave.time period and frequency of this wave.

If the wave completes 300 cycles in 30 seconds, it If the wave completes 300 cycles in 30 seconds, it will take 0.1 s (30/300) to complete one cycle. will take 0.1 s (30/300) to complete one cycle. Hence, the time period is 0.1 s. The frequency of Hence, the time period is 0.1 s. The frequency of this wave is 10 Hz. This can be calculated either this wave is 10 Hz. This can be calculated either using using number of cycles per secondnumber of cycles per second (300/30) or by (300/30) or by taking the taking the reciprocal of the time periodreciprocal of the time period (1/0.1) (1/0.1)

Plot the waveform (time and displacement on horizontal and Plot the waveform (time and displacement on horizontal and vertical axes, respectively) of wave C showing at least three vertical axes, respectively) of wave C showing at least three complete cycles. Assume that the peak displacement of wave C complete cycles. Assume that the peak displacement of wave C is 10 mm.is 10 mm.

Frequency: 10 Hz, Time period: 0.1 s, Peak displacement: 10 mmFrequency: 10 Hz, Time period: 0.1 s, Peak displacement: 10 mm

Can be drawn in any of the following ways.Can be drawn in any of the following ways.