Answered: Define the uncertainty of measuring the…

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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Question

Define the uncertainty of measuring the torque. T = F.R, (N.m) when variable Being measured having tolerance like the following F ....is necessarily style With tolerance As follows F = 100±0.1 N. then R = shaft finger recorded as completed Ø = 25.4 + 0.02 mm

Expert Solution

Step 1

Write the given data in the problem.

$F = 100 \pm 0.1 N ϕ = 25.4 \pm 0.02 mm$

Here, F is the force, and $ϕ$ is the shaft diameter.

Here, the force is 100 N and the uncertainty in force is 0.1 N.

Calculate the shaft radius.

$R = \frac{ϕ}{2}$

Here, R is the shaft radius.

Substitute $25.4 \pm 0.02 mm$ for $ϕ$ .

$R = \frac{25.4 \pm 0.02 mm}{2} = 12.7 \pm 0.01 mm$

Here, the shaft radius is 12.7 mm and the uncertainty in radius is 0.01 mm.

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