Theory and Design for Mechanical Measurements
6th Edition
ISBN: 9781119126317
Author: Richard S. Figliola; Donald E. Beasley
Publisher: Wiley Global Education US
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Chapter 5, Problem 5.48P
A J-type thermocouple monitors the temperature of air flowing through a duct. Its signal is measured by a thermostat. The air temperature is maintained constant by an electric heater whose power is controlled by the thermostat. To test the control system, 20 measurements of temperature were taken over a reasonable time period during steady operation. This was repeated three times with the following results:
| Run | N | r[°c] | 5r[°C] |
| 1 | 20 | 181.0 | 3.01 |
| 2 | 20 | 183.1 | 2.84 |
| 3 | 20 | 182.1 | 3.08 |
The thermocouple itself has an instrument error with uncertainty ± I °C (95%) with v = 30. It has a 90% rise time of 20 ms. Thermocouple insertion errors are estimated to be ±1.2 °C (95%). What information is found by performing several replications? Identify the elemental errors that affect the system’s control of the air temperature. What is the uncertainty in the set temperature?
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MMB 241- Tutorial 1.pdf
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MMB 241 - Dynamics of Particles
Tutorial 1
Topic: Kinematics of Particles:- Displacement, velocity and acceleration of particles.
QUESTIONS
1. If v = (4t+5) m/s, where t is in seconds, determine a when t = 2 s.
2. If s = (2t³) m, where t is in seconds, determine v when t = 2 s.
3. If a = 2 m/s², determine v at s = 4 m if v = 3 m/s at s = 0.
4. If a = 4 m/s², determines when t = 3 s if v = 2 m/s and s = 2 m when t=0.
5. A particle moves along a straight line such that its position is defined by s = (t² - 6t + 5) m.
Determine the average velocity, the average speed, and the acceleration of the particle
when t = 6 s.
6. A particle is moving with a velocity of vo when s=0 and t=0. If it is subjected to a
deceleration of a = -kv³ where k is a constant, determine its velocity and position as
functions of time.
7. A particle travels along a straight-line path such that in 4s it moves from an initial position
SA = -8 m to a position SB = +3 m. Then in…
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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