**Stress Intensity Factors in Engineering**Mechanical and civil engineers work with 'stress intensity factors' that have dimensions of \[\frac{\text{mass}}{(\text{time})^2 \cdot \text{length}}.\]The SI units for this factor are \[\frac{\text{kg}}{\text{s}^2 \cdot \sqrt{\text{m}}}\]more commonly written as \[\text{Pa} \sqrt{\text{m}}\](Pa is the abbreviation for pascals, the SI unit of pressure).**Problem Statement:**Convert the stress intensity factor of 1.25 \[\text{Pa} \sqrt{\text{mm}}\]to units of \[\text{Pa} \sqrt{\text{m}}\]**Solution:**To perform the conversion, recognize that 1 mm = 0.001 m, which implies \[\sqrt{\text{mm}} = \sqrt{0.001 \, \text{m}} = 0.03162 \, \text{m}.\]Therefore, 1.25 \[\text{Pa} \sqrt{\text{mm}}\]is equivalent to:\[1.25 \times 0.03162 \, \text{Pa} \sqrt{\text{m}} = 0.039525 \, \text{Pa} \sqrt{\text{m}}.\]Thus, the stress intensity factor converts to approximately 0.0395 \[\text{Pa} \sqrt{\text{m}}.\]

Sol:- Given :-kgs2m is represented as PamHere , We have to convert 1.25 Pamm to Pam

Mechanical and civil engineers work with 'stress intensity factors' that have dimensions of mass (time) length The SI units for this factor are more commonly written as Pa√m (Pa is the kg s²√√m' abbreviation for a pascals, the SI unit of pressure). Convert the stress intensity factor of 1.25 Pa√mm to units of Pa√m. Show your work.

Mechanical and civil engineers work with 'stress intensity factors' that have dimensions of mass (time) length The SI units for this factor are more commonly written as Pa√m (Pa is the kg s²√√m' abbreviation for a pascals, the SI unit of pressure). Convert the stress intensity factor of 1.25 Pa√mm to units of Pa√m. Show your work.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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