7.8 2Chapter 7 Experimental Uncertainty Analysisconsidered to be linear, so that7.7 A simple spring is used to measure force. The springF = kx, where F is the force in newtons. k is the spring constant in newtons per centime-late the maximum possible error and the uncertainty of the measured force in absoluteter, and x is the displacement in cm. If x = 20.0 ± 1.25 cm and k = 800 + 16 N/cm, calcu-(dimensional) and relative (%) terms.7.8 A mechanical speed control system works on the basis of centrifugal force, which isrelated to angular velocity through the formulamini adcontribs) F= mrw² to sufey adt britwhere F is the force, m is the mass of the rotating weights, r is the radius of rotation, andprodre is the angular velocity of the system. The following values are measured to determinelaw:r = 20 ± 0.02 mm, m = 100 ± 0.5 g, and F = 500 ± 0.1% N. Find the rotationalspeed in rpm and its uncertainty. All measured values have a confidence level of 95%.7.9 A mechanical speed control system works on the basis of centrifugal force, which isrelated to angular velocity through the formula(AZSSTATF = mrw²using on to soulav ofTwhere F is the force, m is the mass of the rotating weights, r is the radius of rotation, and wis the angular velocity of the system. The following values are measured to determinew:r = 25 ± 0.02 mm. m = 120 ± 0.5 g. and F = 600 ± 0.2% N. Find the rotationalspeed in rpm and its uncertainty. All measured values have a confidence level of 95%.7.10 Young's modulus of elasticity, E, relates the strain, 8L/L, in a solid to the applied stress,F/A, through the relationship F/A = E(SL/L). To determine E, a tensile machine is used,and F, L, 8L, and A are measured. The uncertainties in each of these quantities are 0.5%,1%, 5%, and 1.5%, respectively, with 95% confidence. Calculate the uncertainty in E inpercentage form. Which of these measurements has the greatest effect on the uncertaintyof E? How can we reduce that uncertainty by 50%?prio boost nood oved7.11 The variation of resistance with temperature is expressed by the relationshipR = Ro[1 + a(T-To)], where Ro is the resistance at the reference temperature To and afor the resistor material has been determined to be 0.0048 ± 0.1% / °C. In the range 0 to100°C, in which we are calibrating this resistor, temperature measurements have shown astandard deviation of 0.1°C. The systematic uncertainty of the temperature-measurementdevice is known to be 0.1°C. Calculate the percent uncertainty of R at a temperature of25°C with a 95% confidence level. At 0°C, the resistance is 100.00 ohms.-12 One of the parameters that is used to evaluate the performance of an engine is its brake-specific fuel consumption (bsfc), defined asmfuel52TNTbsfc =where, for a given engine, the parameters on the isured and foundpodw

late the maximum (dimensional) and relative (%) terms. 7.8 A mechanical speed control system works on the basis of centrifugal force, which is related to angular velocity through the formula. F = mrw² where F is the force, m is the mass of the rotating weights, r is the radius of rotation, and w que is the angular velocity of the system. The following values are measured to determine 500 0.1% N. Find the rotational w:r = 20 ± 0.02 mm, m = 100 ± 0.5 g, and F speed in rpm and its uncertainty. All measured values have a confidence level of 95%. 7.9 A mechanical speed control system works on the basis of centrifugal force, which is related to angular velocity through the formula

late the maximum (dimensional) and relative (%) terms. 7.8 A mechanical speed control system works on the basis of centrifugal force, which is related to angular velocity through the formula. F = mrw² where F is the force, m is the mass of the rotating weights, r is the radius of rotation, and w que is the angular velocity of the system. The following values are measured to determine 500 0.1% N. Find the rotational w:r = 20 ± 0.02 mm, m = 100 ± 0.5 g, and F speed in rpm and its uncertainty. All measured values have a confidence level of 95%. 7.9 A mechanical speed control system works on the basis of centrifugal force, which is related to angular velocity through the formula

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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A weight transducer is calibrated in an environment at a tempreture of 27 oC and has the following characteristics Weight (mg) Deflection (m) 0 0 1000 0.02 2000 0.04 3000 0.06 4000 0.08 It is then used in an environment at a tempreture of 45 oC and the following characteristics is measured Weight (mg) Deflection (m) 0 0.005 1000 0.027 2000 0.049 3000 0.071 4000 0.093 Determine the zero drift and sensitivity drift per oC change in ambient tempreture.