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Q4. A spherical object of volume 1m³ floats on water (water = 9810 N/m³). Find the submerged volume (V) of the object if the specific weight of the spherical object is (Ysphere = 7500 N/m³). -P- WATER

Q4. A spherical object of volume 1m³ floats on water (water = 9810 N/m³). Find the submerged volume (V) of the object if the specific weight of the spherical object is (Ysphere = 7500 N/m³). -P- WATER

Structural Analysis
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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Please show all steps in detail and make please show all formulas used. Subject is fluid mechanics
**Question 4:** A spherical object of volume \(1 \, \text{m}^3\) floats on water (\(\gamma_{\text{water}} = 9810 \, \text{N/m}^3\)). Find the submerged volume (\(V'\)) of the object if the specific weight of the spherical object is (\(\gamma_{\text{sphere}} = 7500 \, \text{N/m}^3\)). **Diagram Explanation:** The diagram to the right illustrates a sphere partially submerged in water. A horizontal dashed line represents the water surface. The sphere is cross-hatched to indicate its volume, and a vertical arrow labeled "Water" indicates the direction of the buoyant force.
Transcribed Image Text:**Question 4:** A spherical object of volume \(1 \, \text{m}^3\) floats on water (\(\gamma_{\text{water}} = 9810 \, \text{N/m}^3\)). Find the submerged volume (\(V'\)) of the object if the specific weight of the spherical object is (\(\gamma_{\text{sphere}} = 7500 \, \text{N/m}^3\)). **Diagram Explanation:** The diagram to the right illustrates a sphere partially submerged in water. A horizontal dashed line represents the water surface. The sphere is cross-hatched to indicate its volume, and a vertical arrow labeled "Water" indicates the direction of the buoyant force.
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