Mathematics for Machine Technology
Mathematics for Machine Technology
7th Edition
ISBN: 9781133281450
Author: John C. Peterson, Robert D. Smith
Publisher: Cengage Learning
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Chapter 20, Problem 1A
To determine

To find the weight of the 92.4 centimeter piece of steel nearest to half kilogram.

Expert Solution & Answer
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Answer to Problem 1A

  5412 kilogram.

Explanation of Solution

Given information:

A sheet if steel 280 centimeter long weighs 165 kilograms. A 92.4 centimeter long sheet is sheared from the sheet.

Calculation:

As per the given information a sheet if steel 280 centimeter long weighs 165 kilograms. A 92.4 centimeter long sheet is sheared from the sheet.

As per the definition of proportion ration of length and weight of whole sheet will be proportional to ratio of length and weight of sheared sheet.

i.e. Weight of whole sheetLength of whole sheet=Weight of sheared sheetLength sheared sheet

  165 kg280 cm=Weight of the sheared sheet92.4cmApply cross multiplication,Weight of the sheared sheet ×280 cm=165 kg×92.4 cmWeight of the sheared sheet=165×92.4280 kgWeight of the sheared sheet=54.45 kg

Hence, weight of the sheared sheet nearest to half Kilogram will be 5412 kilogram.

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