Theory and Design for Mechanical Measurements
6th Edition
ISBN: 9781118881279
Author: Richard S. Figliola, Donald E. Beasley
Publisher: WILEY
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Chapter 5, Problem 5.15P
Estimate the design-stage uncertainty in determining the voltage drop across an electric healing element. The device has a nominal resistance of 30 Q and a power rating of 500 W. Available is an ohmmeter (accuracy: within 0.5%; resolution: 1 £}) and ammeter (accuracy: within 0.1%; resolution: 100 mA). Recall E = 1R.
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Using the colored bands on the two resistors at your table, you determine that the two resistances of the resistors are 200 ohms with 5%
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±
Check
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
Output: dc 0-5Vdc
Range: 0-5 cm
The transducer output is to be indicated on a voltme- ter 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. Estimate an uncertainty in a nominal displacement of 2 cm at the design stage. Assume 95% confidence.
A thermocouple is used to
measure the temperature T1. The
thermocouple reference junction
labeled 2 is at a temperature of
20°C. The voltage output is
measured using a potentiometer
and found to be 4.686 mV. What
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RK: if the temperature values are
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interpolation.
Select one:
O a. 98
O b. 118
O c. 105
O d. 108
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Chapter 5 Solutions
Theory and Design for Mechanical Measurements
Ch. 5 - Prob. 5.1PCh. 5 - Explain what is meant by the terms “true value,"...Ch. 5 - SJ An official Olympics timekeeper once stated,...Ch. 5 - A tachometer has an analog display dial graduated...Ch. 5 - An automobile speedometer is graduated in 5-mph...Ch. 5 - An engineer reads the height of a mercury...Ch. 5 - Prob. 5.8PCh. 5 - Two resistors arc to be combined to form an...Ch. 5 - An equipment catalog boasts that a pressure...Ch. 5 - The shear modulus, G, of an alloy can be...
Ch. 5 - Heat transfer from a rod of diameter D immersed in...Ch. 5 - Estimate the design-stage uncertainty in...Ch. 5 - Explain the critical dift'erence(s) between a...Ch. 5 - A displacement transducer has the following...Ch. 5 - Prob. 5.18PCh. 5 - For a thin-walled pressure vessel of diameter D...Ch. 5 - Suppose a measured normal stress contains three...Ch. 5 - Prob. 5.31PCh. 5 - The area of a flat, rectangular parcel of land is...Ch. 5 - Estimate the random standard uncertainty in the...Ch. 5 - Estimate the uncertainty at 95% confidence in the...Ch. 5 - One use for a GPS rangefinder is on the golf...Ch. 5 - A pressure measuring system outputs a voltage that...Ch. 5 - The density of a metal composite is to be...Ch. 5 - A temperature measurement system is calibrated...Ch. 5 - The power usage of a strip heater is to be...Ch. 5 - The power usage of a DC strip heater can be...Ch. 5 - A thermocouple is a temperature sensor made of two...Ch. 5 - Time variations in a signal require that the...Ch. 5 - A hand-held infrared thermometer from a well-...Ch. 5 - The pressure in a large vessel is to be maintained...Ch. 5 - The cooling of a thermometer (c.g., Exs. 3.3 and...Ch. 5 - A J-type thermocouple monitors the temperature of...Ch. 5 - The density of air must be known to within 0.5%....Ch. 5 - In pneumatic conveying, solid particles such as...Ch. 5 - A step test is run to determine the time constant...Ch. 5 - The acceleration of a cart down a plane inclined...Ch. 5 - The heat flux in a reaction is estimated by Q =...Ch. 5 - A comparative test uses the relationship R =...Ch. 5 - A sensitive material is to be contained within a...Ch. 5 - A geometric stress concentration factor, K,, is...Ch. 5 - In Problem 5.9, we assumed that the errors in die...
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- 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= 1.70mm Determine a best estimate for the mass displacement at 95% probability based on all available information.arrow_forwardA 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.arrow_forwardA thermocouple produces an e.m.f. in mV according to the temperature difference between the sensor tip 0, and the reference junction 02 (also called gauge head where the reference junction is embedded inside the display unit for the thermocouple) such that e = a(0, – 0,) + B(e; – e; ) a = 3.5x10? mv/deg and B = 8.2x106 mV/deg. The gauge head is at 20°C. The output is 10 mV. Calculate the temperature of the sensor.arrow_forward
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