Assess the rpm assuming that during the i interval

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Assess the RPM: Assuming that during the ࠵?࠵?࠵?I࠵?࠵?࠵?interval between subsequent frames blade B has moved exactly where blade A used to be,obtain the RPM: \]࠵?࠵?࠵?࠵?࠵?࠵?࠵?࠵?࠵?࠵?࠵?࠵?࠵?_ / ]࠵?࠵?࠵?࠵?࠵?࠵?_a × ]࠵?࠵? ࠵?࠵?࠵?࠵?࠵?࠵?࠵?࠵?࠵?_ =࠵?࠵?࠵? ࠵?࠵?࠵?࠵?࠵?࠵?࠵?࠵?࠵?࠵?࠵?࠵?࠵?࠵?࠵?࠵?࠵?= ࠵?࠵?࠵? ࠵?࠵?࠵?Keep the helicopter; replace the camera Frequency of replacing one blade with its neighbor = 30 Hz Adequate sampling rate for this event, according to Nyqvist theorem: ≥ (࠵?࠵? /࠵?࠵?࠵?) × ࠵?. ࠵? = ࠵?࠵? ࠵?࠵?࠵?࠵?࠵?࠵?࠵? ࠵?࠵?࠵? ࠵?࠵?࠵?࠵?࠵?࠵?Keep the camera; replace the helicopter Assuming that 30 fps is adequate, apply Nyqvist theorem; obtain: ࠵?࠵?࠵?࠵?࠵?࠵?࠵?࠵?࠵?࠵?࠵?࠵?I≥ ࠵?. ࠵? × (࠵?࠵?࠵?࠵?࠵?࠵?࠵?࠵?࠵? ࠵?࠵? ࠵?࠵?࠵?࠵?࠵?࠵?࠵?࠵?࠵? ࠵?࠵?࠵? ࠵?࠵?࠵?࠵?࠵? ࠵?࠵?࠵?࠵? ࠵?࠵?࠵? ࠵?࠵?࠵?࠵?࠵?࠵?࠵?࠵?)Thus, ࠵?࠵?࠵?࠵?࠵?࠵?࠵?࠵?࠵? ࠵?࠵? ࠵?࠵?࠵?࠵?࠵?࠵?࠵?࠵?࠵? ࠵?࠵?࠵? ࠵?࠵?࠵?࠵?࠵? ࠵?࠵?࠵?࠵? ࠵?࠵?࠵? ࠵?࠵?࠵?࠵?࠵?࠵?࠵?࠵? ≤ ࠵?࠵?. ࠵? /࠵?࠵?࠵?From the same calculation as at the top of this page, obtain the rotation speed of the propeller: ≤ ࠵?࠵?࠵? ࠵?࠵?࠵?Note to the grader: Be lenient to slight variations of the students’ results: instead of 2.1, they may use 2.2, etc. Just make sure that they do NOT use sampling at EXACTLY double frequency.
2018 Fall EECS 314 HW problem 17 Sample solution by Alexander Ganago © 2018 Alexander Ganago Page 13 of 16 Last printed 11/16/18 2:02:00 PM File: 18c HW p17s.docx Part Four (15 points) Binary records of a pulse response Screenshot 2015-03-16-001.png File “514 Lab example.pptx” The oscilloscope, which you use in the lab, converts the analog input signals into the binary records at 8-bit resolution. It means that, in Analog-to-Digital conversion, the vertical axis of the screen is divided into 2^8 = 256 steps of the same size, which is equal to: ࠵?&}~− ࠵?&°±2²Here, ࠵?&}~corresponds to the very top, and ࠵?&°±– to the very bottom of the screen. Thus, as shown above, The step at the very bottom of the screen has the binary number 0000 0000. The step at the very top of the screen has the binary number 1111 1111. The screenshot above shows the input rectangular pulse and the output voltage of an RC circuit (measured across the capacitor). Three voltages are clearly marked: V1 is the lowest voltage of both the input and of the output capacitor voltage V2 is the highest output voltage (at the end of the pulse). V3 is the highest voltage of the input rectangular pulse.
2018 Fall EECS 314 HW problem 17 Sample solution by Alexander Ganago © 2018 Alexander Ganago Page 14 of 16 Last printed 11/16/18 2:02:00 PM File: 18c HW p17s.docx For each of these voltages, determine the # of the step in the decimal form and in the binary form (the latter is the binary record of this voltage). Neglect the distinction between 2^8 vs.(2^8 – 1). V1 V2 V3 Step # (decimal) 256/8 = 32 = 25256/2 = 128 = 27256 * (5/8) = 160 = 128 + 32 = 27+ 25Step # (binary) 0010 000021000 000021010 00002Each trace on the screenshot above has a finite width; assume that this width incurs the error of ±116I࠵?ℎof the vertical division. Determine the value of this error in bits of the binary record.

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