Can you please answer this hydraulics lab question all information is given i need the calculation for what's missing in the table Stoke's Viscosity - GLYCERINTemperature = 17 CFluid: Sp. Gravity of fluid G =Compute density of fluid: p-Ball: Sp. Gravity of Solid Gs 2,15Compute density of solid: p,-Diameter = d = 0.953 cmL (cm) At (sec)V, (em/sec)Compute u:(poise)6.510.77Run 1:6.510.49Run 2:6.510.27Run 3:Average u

Answered: Stoke's Viscosity - GLYCERIN…

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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Can you please answer this hydraulics lab question all information is given i need the calculation for what's missing in the table

Stoke's Viscosity - GLYCERIN
Temperature = 17 C
Fluid: Sp. Gravity of fluid G =
Compute density of fluid: p-
Ball: Sp. Gravity of Solid Gs 2,15
Compute density of solid: p,-
Diameter = d = 0.953 cm
L (cm) At (sec)
V, (em/sec)
Compute u:
(poise)
6.5
10.77
Run 1:
6.5
10.49
Run 2:
6.5
10.27
Run 3:
Average u

Expert Solution

Step 1

Hi there!! since you have asked multiple questions, we will solve the first question for you. If you want any specific question to be solved then please specify the question number or post only that question.

Step 2

Given:

The specific gravity of the solid ball is 2.15.

The diameter of the ball is 0.953 cm.

The distances traveled by the fluid are 6.5 cm, 6.5 cm, and 6.5 cm.

The time intervals are 10.77 sec, 10.49 sec, and 10.27 sec.

Step 3

The formula to calculate the specific gravity is,

$G = \frac{ρ}{ρ_{w}}$

Here, ρ is the density of a fluid or solid and ρ_w is the density of water.

The formula to calculate the velocity of the fluid is,

$v = \frac{d}{∆ t}$

Here, d is the distance traveled and t is the time interval.

The formula to calculate the viscosity of the fluid is,

$μ = \frac{2 g r^{2} (ρ_{s} - ρ_{g})}{9 v}$

Here, g is the acceleration due to gravity, r is the radius of the ball, v is the velocity, ρ_g is the density of glycerin, and ρ_s is the density of solid ball.

The formula to calculate the average viscosity of the fluid is,

$μ_{a v g} = \frac{μ_{1} + μ_{2} + μ_{3}}{3}$

Step 4

Assume the specific gravity of glycerin is 1.263.

The density of water is 1000 kg/m³.

Calculate the density of glycerin.

$\begin{array}{rcl} G & = & \frac{ρ_{g}}{ρ_{w}} \\ ρ_{g} & = & 1.263 (1000) \\ = & 1263 kg / m^{3} \end{array}$

Calculate the density of the solid ball.

$\begin{array}{rcl} G & = & \frac{ρ_{s}}{ρ_{w}} \\ ρ_{s} & = & 2.15 (1000) \\ = & 2150 kg / m^{3} \end{array}$

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