What is the formula to calculate Frequency Cuttoff for the following filters:

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What is the formula to calculate Frequency Cuttoff for the following filters:

1) Low-pass passive RC

filter
2) High-pass passive RC filter
3) Low-pass active filter
4) High-pass active filter

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The rotation speed R of the motor is measured by a tachometer. You should measure R every 20 ms with a resolution of 1 rps

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The rotation speed R of the motor is measured by a tachometer. You should measure R every 20 ms with a resolution of 1 rps. The rotational speed will vary from 0 to 250 rps (0 ≤ R ≤ 250 rps). The output of the tachometer is an ugly-looking digital wave with a frequency 100 times the motor speed. Thus, 0 ≤ f ≤ 25 kHz (Figure 13.26).

Figure 13.26

Tachometer frequency is a function of the motor rotation speed.

The desired rotational speed (R* also in rps) comes from an 8-bit parallel input port. A new value is available on the rise of Ready. The fall of Done is an acknowledge signal back to the input device signifying that the microcomputer no longer needs the data. The timing is shown in Figure 13.27.

Figure 13.27

Sensor timing.

The interrupt-driven control algorithm should be implemented at 50 Hz (U(t) is the duty cycle in percent):

U(t) = ∫0 (R* − R(t))dt where R* and R(t) are in rps and t is in seconds

a) Let u(n) equal the cycle count (500 ns each) that controls the duty cycle of the outputcomparevariable-duty cycle 50 Hz squarewave. If the range of duty cycle is 0 < U(t)< 100, what is the relaTonshipbetween u(n) and U(t)?b) Let R(n) be the sampled sequence of measured rotaTonal speed in rps. Convert the above integralcontrol equaTon into discrete form. ±hat is, determine the relaTonship that calculates u(n) from u(n − 1),u(n − 2) …, R(n), R(n − 1), R(n − 2) …, and R*.±he objecTve of this exercise is to control the rotaTonal speed of a DC motor. ±he +5 V DC motor has aresistance of 10 Ω. Your control system will apply a variable power to the motor by varying the duty cycleof a 50 Hz signal, as shown in Figure 13.25, for example.Figure 13.25PWM outputto actuator.±he rotaTon speed R of the motor is measured by a tachometer. You should measure R every 20 mswith a resoluTon of 1 rps. ±he rotaTonal speed will vary from 0 to 250 rps (0 ≤ R ≤ 250 rps). ±he outputof the tachometer is an ugly-looking digital wave with a frequency 100 Tmes the motor speed. ±hus, 0 ≤f ≤ 25 kHz (Figure 13.26).Figure 13.26±achometerfrequency is a funcTon of the motor rotaTon speed.
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Write a C++ program that asks for the number of runs scored in each inning of a little league baseball game.

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Write a C++ program that asks for the number of runs scored in each inning of a little league baseball game. The

game normally lasts 5 innings. If the home team is winning after the away team bats in the 5th inning, the game is over. Do not ask how many runs the home team scored in the 5th if the game is over. If the game is tied, both teams bat again. The program should print out a box score.

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Write the VHDL ENTITY file for a 3-to-8 decoder using BIT_VECTOR signal types.

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Write the VHDL ENTITY file for a 3-to-8 decoder using BIT_VECTOR signal types. The inputs are I0-I2 and the output

are Y0-Y7

 
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