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I. Antenna Problem Kgr Azimuth angle 0 a(s) Potentiometer Preamplifier Power Amp Motor & load Gears Vi(s) Ve(s) |Vp(s) Ea(s) Kpot K K1 s+a Km s(s+am. |0m(s) Desired azimuth angle 0₁(s) Potentiometer Vfb(s) Kpot2 The first potentiometer, Kpot, is a 10-turn pot that is referenced from +10V to -10V. a.) Find Kpot. The preamplifier has no effect on the voltage, so K -100. has a gain of 100 and a pole at s = -1 = 1. The power amplifier = The motor and load are connected by gears. The motor's gear has 25 teeth and the antenna's gear has 250 teeth. b.) Find the combined motor and load inertia, Jm, if the motor's inertia is Ja 0.02 kg-m² and the load's inertia is JL 1kg-m². c.) Find the combined damping, Dm if the motor's damping is Da 0.01 N-m-s/rad and the antenna's damping is D₁ = 1N-m-s/rad. = The motor and load can be modeled as = 0m(s) Ea(s) Kt/(RaJm) $ [s + 1 (Dm + K₁K)] Ra where K₁ = 0.5, Rα = 8, and K = diagram, Km and am. (1) 0.5. d.) Find the constants from the block Find Kgr for the gearset described above. The value of Kpot2 is the same as Kpot. It is mechanically connected to the antenna by a 250 tooth gear meshing with the 250 tooth drive gear on the an- tenna. e.) Find the open-loop transfer function from 0₁(s) to ¤₁(s). f.) Find the closed-loop transfer function from п (s) to ða(s).

I. Antenna Problem Kgr Azimuth angle 0 a(s) Potentiometer Preamplifier Power Amp Motor & load Gears Vi(s) Ve(s) |Vp(s) Ea(s) Kpot K K1 s+a Km s(s+am. |0m(s) Desired azimuth angle 0₁(s) Potentiometer Vfb(s) Kpot2 The first potentiometer, Kpot, is a 10-turn pot that is referenced from +10V to -10V. a.) Find Kpot. The preamplifier has no effect on the voltage, so K -100. has a gain of 100 and a pole at s = -1 = 1. The power amplifier = The motor and load are connected by gears. The motor's gear has 25 teeth and the antenna's gear has 250 teeth. b.) Find the combined motor and load inertia, Jm, if the motor's inertia is Ja 0.02 kg-m² and the load's inertia is JL 1kg-m². c.) Find the combined damping, Dm if the motor's damping is Da 0.01 N-m-s/rad and the antenna's damping is D₁ = 1N-m-s/rad. = The motor and load can be modeled as = 0m(s) Ea(s) Kt/(RaJm) $ [s + 1 (Dm + K₁K)] Ra where K₁ = 0.5, Rα = 8, and K = diagram, Km and am. (1) 0.5. d.) Find the constants from the block Find Kgr for the gearset described above. The value of Kpot2 is the same as Kpot. It is mechanically connected to the antenna by a 250 tooth gear meshing with the 250 tooth drive gear on the an- tenna. e.) Find the open-loop transfer function from 0₁(s) to ¤₁(s). f.) Find the closed-loop transfer function from п (s) to ða(s).

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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I. Antenna Problem Kgr Azimuth angle 0 a(s) Potentiometer Preamplifier Power Amp Motor & load Gears Vi(s) Ve(s) |Vp(s) Ea(s) Kpot K K1 s+a Km s(s+am. |0m(s) Desired azimuth angle 0₁(s) Potentiometer Vfb(s) Kpot2 The first potentiometer, Kpot, is a 10-turn pot that is referenced from +10V to -10V. a.) Find Kpot. The preamplifier has no effect on the voltage, so K -100. has a gain of 100 and a pole at s = -1 = 1. The power amplifier = The motor and load are connected by gears. The motor's gear has 25 teeth and the antenna's gear has 250 teeth. b.) Find the combined motor and load inertia, Jm, if the motor's inertia is Ja 0.02 kg-m² and the load's inertia is JL 1kg-m². c.) Find the combined damping, Dm if the motor's damping is Da 0.01 N-m-s/rad and the antenna's damping is D₁ = 1N-m-s/rad. = The motor and load can be modeled as = 0m(s) Ea(s) Kt/(RaJm) $ [s + 1 (Dm + K₁K)] Ra where K₁ = 0.5, Rα = 8, and K = diagram, Km and am. (1) 0.5. d.) Find the constants from the block Find Kgr for the gearset described above. The value of Kpot2 is the same as Kpot. It is mechanically connected to the antenna by a 250 tooth gear meshing with the 250 tooth drive gear on the an- tenna. e.) Find the open-loop transfer function from 0₁(s) to ¤₁(s). f.) Find the closed-loop transfer function from п (s) to ða(s).
Transcribed Image Text:I. Antenna Problem Kgr Azimuth angle 0 a(s) Potentiometer Preamplifier Power Amp Motor & load Gears Vi(s) Ve(s) |Vp(s) Ea(s) Kpot K K1 s+a Km s(s+am. |0m(s) Desired azimuth angle 0₁(s) Potentiometer Vfb(s) Kpot2 The first potentiometer, Kpot, is a 10-turn pot that is referenced from +10V to -10V. a.) Find Kpot. The preamplifier has no effect on the voltage, so K -100. has a gain of 100 and a pole at s = -1 = 1. The power amplifier = The motor and load are connected by gears. The motor's gear has 25 teeth and the antenna's gear has 250 teeth. b.) Find the combined motor and load inertia, Jm, if the motor's inertia is Ja 0.02 kg-m² and the load's inertia is JL 1kg-m². c.) Find the combined damping, Dm if the motor's damping is Da 0.01 N-m-s/rad and the antenna's damping is D₁ = 1N-m-s/rad. = The motor and load can be modeled as = 0m(s) Ea(s) Kt/(RaJm) $ [s + 1 (Dm + K₁K)] Ra where K₁ = 0.5, Rα = 8, and K = diagram, Km and am. (1) 0.5. d.) Find the constants from the block Find Kgr for the gearset described above. The value of Kpot2 is the same as Kpot. It is mechanically connected to the antenna by a 250 tooth gear meshing with the 250 tooth drive gear on the an- tenna. e.) Find the open-loop transfer function from 0₁(s) to ¤₁(s). f.) Find the closed-loop transfer function from п (s) to ða(s).
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