Theory and Design for Mechanical Measurements
Theory and Design for Mechanical Measurements
6th Edition
ISBN: 9781118881279
Author: Richard S. Figliola, Donald E. Beasley
Publisher: WILEY
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Chapter 12, Problem 12.14P

In Example 12.2, integration is identified as a method for reducing the effects of noise in a signal. Discuss how a moving average can be used to reduce the effects of noise in a velocity measurement through the integration of an acceleration signal. Discuss the effects of averaging time on the elimination of noise. Assume that the noise has significant amplitude but has higher-frequency content than the velocity being measured.

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The "spring-like effect" in a golf club could be determined by measuring the coeffi cient of restitution (the ratio of the outbound velocity to the inbound velocity of a golf ball fired at the clubhead). Twelve randomly selected drivers produced by two clubmakers are tested and the coefficient of restitution measured. The data follow: Club 1: 0.8406, 0.8104, 0.8234, 0.8198, 0.8235, 0.8562, 0.8123, 0.7976, 0.8184, 0.8265, 0.7773, 0.7871 Club 2: 0.8305, 0.7905, 0.8352, 0.8380, 0.8145, 0.8465, 0.8244, 0.8014, 0.8309, 0.8405, 0.8256, 0.8476 Test the hypothesis that both brands of ball have equal mean overall distance. Use a = 0.05 and assume equal variances. Answer the following questions regarding the t-test. 1. How many degrees-of-freedom are there in this problem (needed for finding the critical t- values). 2. What is the absolute values of the critical t-value for this problem? We are using a two- tailed t-test with a significance level of 5%. (use four significant figures) 3. What is…
A displacement transducer has the following specifications: Linearity error: ±0.25% reading Drift: ±0.05%/°C reading  Sensitivity error:  ±0.25% reading Excitation: 10-25 V dc Output:  0-5Vdc Range: 0-5 cm The transducer output is to be indicated on a voltmeter having a stated accuracy of 0:1% reading with a resolution of 10 μV. The system is to be used at room temperature, which can vary by 10 °C. Assume 95% confidence. The displacement transducer above is used in measuring the displacement of a body impacted by a mass. Twenty measurements are made, which yield  Determine a best estimate for the mass displacement at 95% probability based on all available information.
A displacement transducer has the following specifications: Linearity error: ±0.25% reading Drift: ±0.05%/°C reading  Sensitivity error:  ±0.25% reading Excitation: 10-25 V dc Output:  0-5Vdc Range: 0-5 cm The transducer output is to be indicated on a voltmeter having a stated accuracy of 0:1% reading with a resolution of 10 μV. The system is to be used at room temperature, which can vary by 10 °C. Assume 95% confidence. The displacement transducer above is used in measuring the displacement of a body impacted by a mass. Twenty measurements are made, which yield X= 17.20mm Sx= ˆ 1.70mm  Determine a best estimate for the mass displacement at 95% probability based on all available information.
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