A sphere of radius r floats in water. The volume of a spherical segment is (3 rh² – h° ). Find the depth to which a sphere of density 800 kg/m² sinks in water as a fraction of its radius (see figure) using the bisection and the false position method. Hint: Use highlighted part as function f (h') Applying Archimede's principle we obtain: 4 (3rk* – k')Puo8 3 which simplifies to 4r'800 = (3rh² – h’)1000=3.2r' = 3rh² – h h →h° – 3h² +3.2 = 0 where h' = -

A sphere of radius r floats in water. The volume of a spherical segment is (3 rh² – h° ). Find the depth to which a sphere of density 800 kg/m² sinks in water as a fraction of its radius (see figure) using the bisection and the false position method. Hint: Use highlighted part as function f (h') Applying Archimede's principle we obtain: 4 (3rk* – k')Puo8 3 which simplifies to 4r'800 = (3rh² – h’)1000=3.2r' = 3rh² – h h →h° – 3h² +3.2 = 0 where h' = -

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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