A square land was measured using a 100m tape that is too short. The error on the computed area is 4.004m² and the corrected area is 10000m2. Compute the value of the error in the length of tape. (Give your answer in two decimal places)

A square land was measured using a 100m tape that is too short. The error on the computed area is 4.004m² and the corrected area is 10000m2. Compute the value of the error in the length of tape. (Give your answer in two decimal places)

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Length and Length related Variables

Length can de defined as the measurement or extent of physical quantities or objects from one terminal to another terminal. Stone age humans used finger length, step length, and so on to measure the size or displacement of an object. Nowadays, depending on how precise the measurement requires to be and the object’s size is measured, we use measuring devices for measurements like rulers and steel tape. Most people have used a ruler or tape measure to measure a particular distance or the size of an object. For more precise measurements of tiny objects, the development of measurement tools such as the Vernier caliper, which permits us to measure dimensions within 1/1000 of an inch. In the last few decades, electronic distance measuring instruments (EDMI) have been implemented that permit us to measure distances from a few feet to many miles with reasonable accuracy.

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A square land was measured using a 100m tape that is too short. The error on the computed area is 4.004m² and the
corrected area is 10000m². Compute the value of the error in the length of tape. (Give your answer in two decimal places)

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