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(b) Neglecting any viscous resistance from the bottom of the cylinders, what is the value of 4, when a = 0.20 [mm], R; = 50 [mm], h = 80 [mm], M = 0.0245 [N] and 2 = 1.2 [s']?

(b) Neglecting any viscous resistance from the bottom of the cylinders, what is the value of 4, when a = 0.20 [mm], R; = 50 [mm], h = 80 [mm], M = 0.0245 [N] and 2 = 1.2 [s']?

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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The image is a schematic diagram of a coaxial cylinder viscometer, used for measuring the viscosity of fluids. It consists of two primary components: a rotating bob and a stationary cup. - The diagram is labeled “Figure 1. Schematic of coaxial cylinder viscometer.” - The rotating bob is located inside the stationary cup. It is responsible for applying shear to the fluid contained between itself and the cup. - The outer cylinder is called the stationary cup and contains a fluid, marked as "Fluid" on the diagram. - \( R_i \) and \( R_o \) represent the inner and outer radii, respectively. \( R_i \) is the radius of the rotating bob, and \( R_o \) is the radius of the stationary cup. - The symbol \( h \) denotes the height of the fluid column between the rotating bob and the stationary cup. - \( M \) is the torque applied to the rotating bob, and \( \Omega \) is the angular velocity or speed of rotation. - Arrows labeled with \( a \) and \( b \) illustrate the direction of the forces involved, with \( a \) pointing inward toward the fluid and \( b \) pointing downward. The viscometer operates by rotating the bob within the stationary cup, causing the fluid to flow due to shear force. The diagram helps in visualizing the arrangement and function of the viscometer for educational purposes.
Transcribed Image Text:The image is a schematic diagram of a coaxial cylinder viscometer, used for measuring the viscosity of fluids. It consists of two primary components: a rotating bob and a stationary cup. - The diagram is labeled “Figure 1. Schematic of coaxial cylinder viscometer.” - The rotating bob is located inside the stationary cup. It is responsible for applying shear to the fluid contained between itself and the cup. - The outer cylinder is called the stationary cup and contains a fluid, marked as "Fluid" on the diagram. - \( R_i \) and \( R_o \) represent the inner and outer radii, respectively. \( R_i \) is the radius of the rotating bob, and \( R_o \) is the radius of the stationary cup. - The symbol \( h \) denotes the height of the fluid column between the rotating bob and the stationary cup. - \( M \) is the torque applied to the rotating bob, and \( \Omega \) is the angular velocity or speed of rotation. - Arrows labeled with \( a \) and \( b \) illustrate the direction of the forces involved, with \( a \) pointing inward toward the fluid and \( b \) pointing downward. The viscometer operates by rotating the bob within the stationary cup, causing the fluid to flow due to shear force. The diagram helps in visualizing the arrangement and function of the viscometer for educational purposes.
(b) Neglecting any viscous resistance from the bottom of the cylinders, what is the value of \( \mu_k \) when \( a = 0.20 \ [\text{mm}], R_i = 50 \ [\text{mm}], h = 80 \ [\text{mm}], M = 0.0245 \ [\text{N}] \) and \( \Omega = 1.2 \ [\text{s}^{-1}] \)?
Transcribed Image Text:(b) Neglecting any viscous resistance from the bottom of the cylinders, what is the value of \( \mu_k \) when \( a = 0.20 \ [\text{mm}], R_i = 50 \ [\text{mm}], h = 80 \ [\text{mm}], M = 0.0245 \ [\text{N}] \) and \( \Omega = 1.2 \ [\text{s}^{-1}] \)?
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