Refer to Exercise 15. Assume that F = 750 ± 1 N, R = 0.65

Chapter 3, Problem 27E

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QUESTION:

Refer to Exercise 15. Assume that \(F=750\pm1\mathrm{\ N}\), \(R=0.65\pm0.09\mathrm{\ mm}\), \(L_0=23.7\pm0.2\mathrm{\ mm}\), and \(L_1=27.7\pm0.2\mathrm{\ mm}\). Estimate \(Y\), and find the relative uncertainty in the estimate.

Equation Transcription:

Text Transcription:

F = 750 pm 1 N

R = 0.65 pm 0.09 mm

L_0 = 23.7 pm 0.2 mm

L_1 = 27.7 pm 0.2 mm

Y

Questions & Answers

QUESTION:

Refer to Exercise 15. Assume that \(F=750\pm1\mathrm{\ N}\), \(R=0.65\pm0.09\mathrm{\ mm}\), \(L_0=23.7\pm0.2\mathrm{\ mm}\), and \(L_1=27.7\pm0.2\mathrm{\ mm}\). Estimate \(Y\), and find the relative uncertainty in the estimate.

Equation Transcription:

Text Transcription:

F = 750 pm 1 N

R = 0.65 pm 0.09 mm

L_0 = 23.7 pm 0.2 mm

L_1 = 27.7 pm 0.2 mm

Y

ANSWER:

Solution

Step 1 of 4

Here we have to find the uncertainty of  young’s modulus for the material

Given tensile force

From this F=750,

Given radius

From this R=0.65,

Given initial length of the wire

From this =23.7,

Given final length of the wire

From this =27.7,


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