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8. In the diagram below, the floating ball has a specific gravity of 0.6 and has a radius of 5.5cm. You need to find the depth to which the ball is submerged when floating in water. Water Figure 1: Diagram of floating ball

8. In the diagram below, the floating ball has a specific gravity of 0.6 and has a radius of 5.5cm. You need to find the depth to which the ball is submerged when floating in water. Water Figure 1: Diagram of floating ball

Advanced Engineering Mathematics
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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Application Problem of Root Finding


8. In the diagram below, the floating ball has a specific gravity of 0.6 and has a radius of 5.5cm. You need to find the depth to which the ball is submerged when floating in water.

Application Problem of Root Finding 8. In the diagram below, the floating ball has a specific gravity of 0.6 and has a radius of 5.5cm. You need to find the depth to which the ball is submerged when floating in water. R Water Figure 1: Diagram of floating ball
Transcribed Image Text:Application Problem of Root Finding 8. In the diagram below, the floating ball has a specific gravity of 0.6 and has a radius of 5.5cm. You need to find the depth to which the ball is submerged when floating in water. R Water Figure 1: Diagram of floating ball
The equation that gives the depth x to which the ball is submerged under water is given by x3 – 0.165x? + 3.993 × 10-4 = 0 a) Use the bisection method of finding roots of equations to find the depth x to which the ball is submerged under water. Conduct ten iterations to estimate the root of the above equation. b) Find the absolute relative approximate error at the end of each iteration.
Transcribed Image Text:The equation that gives the depth x to which the ball is submerged under water is given by x3 – 0.165x? + 3.993 × 10-4 = 0 a) Use the bisection method of finding roots of equations to find the depth x to which the ball is submerged under water. Conduct ten iterations to estimate the root of the above equation. b) Find the absolute relative approximate error at the end of each iteration.
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