A greenhouse system consists of a controller for controlling the system, sensors for detecting the environmental conditions inside the greenhouse and actuators which keep the environment of the greenhouse constant during the summer months. Four thermometers are used to measure the temperature of the greenhouse which automatically turn on the fans and open the windows when the temperature exceeds a certain pre-set value. To satisfy its operational requirements • at least three of the four thermometers are operable, and . at least two out of the five fans are operable, and • at least one of the four windows is operable and . the controller is operable Given that the reliability for the controller is 0.95, the thermometers is 0.92, the fans is 0.9, and the windows is 0.85, calculate the reliability of this system. Please give your answer as a percentage (without the %) to 2 decimal places

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter5: Analysis Of Convection Heat Transfer
Section: Chapter Questions
Problem 5.51P
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A greenhouse system consists of a controller for controlling the system, sensors for detecting the environmental conditions inside the greenhouse and actuators which keep the environment of the greenhouse constant during the
summer months. Four thermometers are used to measure the temperature of the greenhouse which automatically turn on the fans and open the windows when the temperature exceeds a certain pre-set value. To satisfy its
operational requirements:
• at least three of the four thermometers are operable, and
• at least two out of the five fans are operable, and
• at least one of the four windows is operable and
• the controller is operable.
Given that the reliability for. the controller is 0.95, the thermometers is 0.92, the fans is 0.9, and the windows is 0.85, calculate the reliability of this system. Please give your answer as a percentage (without the %) to 2 decimal
places.
Transcribed Image Text:A greenhouse system consists of a controller for controlling the system, sensors for detecting the environmental conditions inside the greenhouse and actuators which keep the environment of the greenhouse constant during the summer months. Four thermometers are used to measure the temperature of the greenhouse which automatically turn on the fans and open the windows when the temperature exceeds a certain pre-set value. To satisfy its operational requirements: • at least three of the four thermometers are operable, and • at least two out of the five fans are operable, and • at least one of the four windows is operable and • the controller is operable. Given that the reliability for. the controller is 0.95, the thermometers is 0.92, the fans is 0.9, and the windows is 0.85, calculate the reliability of this system. Please give your answer as a percentage (without the %) to 2 decimal places.
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