An angle-of-attack sensor (Figure 1) on a Boeing 737 Max reads the angle between the wing and the oncoming airflow. http

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An Angle Of Attack Sensor Figure 1 On A Boeing 737 Max Reads The Angle Between The Wing And The Oncoming Airflow Http 1 (229.25 KiB) Viewed 22 times

An angle-of-attack sensor (Figure 1) on a Boeing 737 Max reads the angle between the wing and the oncoming airflow. https://www.satcom.guru/2018/12/angle-o ... modes.html Figure 1 This question is about a similar type of angle-of-attack sensor that operates on the same principles, and uses the datasheet below. Datasheet for Angle-of-Attack Sensor Parameter Value Nominal Supply Voltage 24 V Resolution 10 degrees Non-Linearity Error +/- 1% of full scale reading Range +/- 40 degrees Output type Digital Ratiometric Yes a. [4 points] The sensor contains an Analog-to-Digital converter, to provide the digital output. The sensor is always supplied with 24 volts. What is the minimum number of bits that this A/D converter must have? Show your work. (Hint: Both extremes of +40 degrees and -40 degrees must be represented.)
b. [4 points] The angle-of-attack sensor provides data to the Maneuvering Characteristics Augmentation System (MCAS) which prompts the movement of a horizontal stabilizer as shown in Figure 2. If the plane has a high angle of attack, the MCAS system will push the horizontal stabilizer up, causing the plane's nose to go down. Focus for Investigators The jackscrew, found in the wreckage of the Ethiopian Air flight, indicated the jet was configured to dive Horizontal stabilizer Pivot Horizontal stabilizer DODOOD Jackscrew moves the angle of the horizontal stabilizer up or down Motor Sources: Boeing. Mentourpilot Bloomberg QuickTake Figure 2 This question is about a similar type of anti-stall system, which uses a similar jackscrew (also called a power screw or leadscrew) turned by a motor. To move the horizontal stabilizer, the system includes the following: •DC electric motor attached to a 2-channel incremental optical encoder • The base resolution of the encoder is 10 counts per revolution. • Quadrature decoding in the controller • The motor turns a 22:1 gearbox which increases torque and reduces speed at the output • The gearbox turns the jackscrew which moves a nut up or down. With each revolution of the jackscrew, the nut moves by 0.25 inches. The nut is on the horizontal stabilizer. The turning of the jackscrew needs to move the nut 2.7 inches upward. What is the target number of encoder counts to achieve this motion? (Note: When the nut moves upward, the value of the encoder counts is positive.)