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(5) In order to forge a pure gold ring, you first need to purchase the gold. The ring design is a simple band wrapped in a circle, with dimensions given below. Using the Pappus-Guldinus Theorem #2, how many grams of gold are needed for this ring? The density of gold is 19.3 g/cm3. 2 cm 1 cm

(5) In order to forge a pure gold ring, you first need to purchase the gold. The ring design is a simple band wrapped in a circle, with dimensions given below. Using the Pappus-Guldinus Theorem #2, how many grams of gold are needed for this ring? The density of gold is 19.3 g/cm3. 2 cm 1 cm

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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**Text and Diagram Transcription for Educational Use** **Problem:** To forge a pure gold ring, you first need to determine the amount of gold required. The ring is designed as a simple band formed into a circle. The dimensions provided are essential to calculate the mass of gold needed using the Pappus-Guldinus Theorem #2. - **Density of Gold:** 19.3 g/cm³ **Diagram Details:** The diagram represents a rectangular strip that will be shaped into a ring. - **Dimensions:** - Length of the strip: 2 cm - Width of the strip: 1 cm - Thickness of the strip: 0.5 cm The strip will be wrapped to form a circular band. The Pappus-Guldinus Theorem #2 can be applied to determine the volume of the resulting solid of revolution, which in turn can be used to find the mass of the gold ring. **Objective:** Calculate the mass of the gold required to create the ring using the provided dimensions and the density of gold. --- This transcription helps to visualize and understand the problem, making it suitable for educational purposes on a website.
Transcribed Image Text:**Text and Diagram Transcription for Educational Use** **Problem:** To forge a pure gold ring, you first need to determine the amount of gold required. The ring is designed as a simple band formed into a circle. The dimensions provided are essential to calculate the mass of gold needed using the Pappus-Guldinus Theorem #2. - **Density of Gold:** 19.3 g/cm³ **Diagram Details:** The diagram represents a rectangular strip that will be shaped into a ring. - **Dimensions:** - Length of the strip: 2 cm - Width of the strip: 1 cm - Thickness of the strip: 0.5 cm The strip will be wrapped to form a circular band. The Pappus-Guldinus Theorem #2 can be applied to determine the volume of the resulting solid of revolution, which in turn can be used to find the mass of the gold ring. **Objective:** Calculate the mass of the gold required to create the ring using the provided dimensions and the density of gold. --- This transcription helps to visualize and understand the problem, making it suitable for educational purposes on a website.
If the price of gold is $60/g, how much will the gold for the ring cost? (Note: The image does not provide additional details or a graph to explain. The cost will depend on the weight of the gold in the ring, which is not specified in the text.)
Transcribed Image Text:If the price of gold is $60/g, how much will the gold for the ring cost? (Note: The image does not provide additional details or a graph to explain. The cost will depend on the weight of the gold in the ring, which is not specified in the text.)
Expert Solution
Step 1

Mechanical Engineering homework question answer, step 1, image 1

 

According to Pappus–Guldinus theorem

volume can be given as

V=Ax2π×yArea of the block as per given in question isA=0.5x1A=0.5 cm2y=1.25 cmV=0.5x2π×1.25V=3.925 cm3

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