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2.14 The spring-mass accelerometer shown schematically in figure 2.16 has a sensing mass of 0.05 kg and a spring constant of 150 N/m. Mass displacement is linearly converted to voltage by an LVDT with a transfer function of 0.45 V/cm. a. Derive an equation for output voltage, Vo out, as a function of acceleration, a, in m/s². b. What range of output voltage results from a 0 m/s² to 20 m/s² acceleration range? c. What is the natural frequency of the system? FIGURE 2.16 Spring-mass accelerometer for problem 2.14. Spring, k Mass S/C Vou

2.14 The spring-mass accelerometer shown schematically in figure 2.16 has a sensing mass of 0.05 kg and a spring constant of 150 N/m. Mass displacement is linearly converted to voltage by an LVDT with a transfer function of 0.45 V/cm. a. Derive an equation for output voltage, Vo out, as a function of acceleration, a, in m/s². b. What range of output voltage results from a 0 m/s² to 20 m/s² acceleration range? c. What is the natural frequency of the system? FIGURE 2.16 Spring-mass accelerometer for problem 2.14. Spring, k Mass S/C Vou

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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2.14 The spring-mass accelerometer shown schematically in figure 2.16 has a sensing mass of 0.05 kg and a spring constant of 150 N/m. Mass displacement is linearly converted to voltage by an LVDT with a transfer function of 0.45 V/cm. a. Derive an equation for output voltage, Vout, as a function of acceleration, a, in m/s². b. What range of output voltage results from a 0 m/s² to 20 m/s² acceleration range? c. What is the natural frequency of the system? FIGURE 2.16 Spring-mass accelerometer for problem 2.14. ܠܠܠܠܠܠ elle Spring, k Mass S/C Vout
Transcribed Image Text:2.14 The spring-mass accelerometer shown schematically in figure 2.16 has a sensing mass of 0.05 kg and a spring constant of 150 N/m. Mass displacement is linearly converted to voltage by an LVDT with a transfer function of 0.45 V/cm. a. Derive an equation for output voltage, Vout, as a function of acceleration, a, in m/s². b. What range of output voltage results from a 0 m/s² to 20 m/s² acceleration range? c. What is the natural frequency of the system? FIGURE 2.16 Spring-mass accelerometer for problem 2.14. ܠܠܠܠܠܠ elle Spring, k Mass S/C Vout
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