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A spherical object with a volume of 1 ft and a specific gravity of 2.80 is found to have a terminal velocity of 10 ft/s in an oil with a density of 58 lbm/ft°. Determine the viscosity of the oil. Note: when the spherical object falls at its terminal velocity, F = 0. Buoyancy, drag and gravitational forces are acting on the sphere.

A spherical object with a volume of 1 ft and a specific gravity of 2.80 is found to have a terminal velocity of 10 ft/s in an oil with a density of 58 lbm/ft°. Determine the viscosity of the oil. Note: when the spherical object falls at its terminal velocity, F = 0. Buoyancy, drag and gravitational forces are acting on the sphere.

Introduction to Chemical Engineering Thermodynamics
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
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**Problem Statement:** A spherical object with a volume of 1 ft³ and a specific gravity of 2.80 is found to have a terminal velocity of 10 ft/s in an oil with a density of 58 lbm/ft³. Determine the viscosity of the oil. Note: when the spherical object falls at its terminal velocity, ΣF = 0. Buoyancy, drag, and gravitational forces are acting on the sphere. **Analysis Explanation:** When the spherical object reaches terminal velocity, the sum of the forces acting on it equals zero (ΣF = 0). This means the gravitational force, buoyant force, and drag force are in equilibrium. - **Gravitational Force (Fg):** This is the force exerted by gravity on the object. It depends on the object's mass and the acceleration due to gravity. - **Buoyant Force (Fb):** This upward force is exerted by the fluid (oil) on the object, calculated based on the displaced fluid's weight. - **Drag Force (Fd):** This is the force opposing the object's motion through the fluid, which depends on the viscosity of the fluid and the velocity of the object. The task involves calculating the oil's viscosity using the given parameters and understanding fluid dynamics principles, particularly the factors affecting terminal velocity in a viscous fluid.
Transcribed Image Text:**Problem Statement:** A spherical object with a volume of 1 ft³ and a specific gravity of 2.80 is found to have a terminal velocity of 10 ft/s in an oil with a density of 58 lbm/ft³. Determine the viscosity of the oil. Note: when the spherical object falls at its terminal velocity, ΣF = 0. Buoyancy, drag, and gravitational forces are acting on the sphere. **Analysis Explanation:** When the spherical object reaches terminal velocity, the sum of the forces acting on it equals zero (ΣF = 0). This means the gravitational force, buoyant force, and drag force are in equilibrium. - **Gravitational Force (Fg):** This is the force exerted by gravity on the object. It depends on the object's mass and the acceleration due to gravity. - **Buoyant Force (Fb):** This upward force is exerted by the fluid (oil) on the object, calculated based on the displaced fluid's weight. - **Drag Force (Fd):** This is the force opposing the object's motion through the fluid, which depends on the viscosity of the fluid and the velocity of the object. The task involves calculating the oil's viscosity using the given parameters and understanding fluid dynamics principles, particularly the factors affecting terminal velocity in a viscous fluid.
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