A right circular cylinder volume υ is to be calculated fromthe measured base radius R and height H . If the uncertaintyin R is 2 percent and the uncertainty in H is 3 percent, estimatethe overall uncertainty in the calculated volume.

A right circular cylinder volume υ is to be calculated fromthe measured base radius R and height H . If the uncertaintyin R is 2 percent and the uncertainty in H is 3 percent, estimatethe overall uncertainty in the calculated volume.

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter5: Analysis Of Convection Heat Transfer

Section: Chapter Questions

Problem 5.8P

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Concept explainers

Basic Terminology in Mechanics

The area of science and mathematics concerned the motion of the objects, the relation between the force matter, and motion if specified. Forces exerted over the objects result in displacements or changes in the position of an object concerning its environment. This branch of physics keeps its roots in Ancient Greece in the form of the scripts of Aristotle and Archimedes.

Question

A right circular cylinder volume υ is to be calculated from
the measured base radius R and height H . If the uncertainty
in R is 2 percent and the uncertainty in H is 3 percent, estimate
the overall uncertainty in the calculated volume.

Expert Solution

Step 1

Write the given information.

Step 2

Write the expression of the volume of the cylinder.

Differentiate the expression of volume with respect to radius.

Differentiate the expression of volume with respect to height.

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