Be sure to take note of the constants in this question (gravity and the fluid in the tank) also your integrand will be in terms of y. A tank full of motor oil has a depth of S= 10 m. A cylindrical object sits upright at the bottom of the tank. This cylindrical object has height H= 5 m and base radius B = 1. a. Set up an integral with respect to y with origin at top of the liquid representing hydrostatic force exerted on the outter wall of the tank (excluding the circular top and bottom of the tank). You will need to use the fact that the denisty of motor oil is 900 kg/ and the acceleration due to gravity is 9.81 m/s². Answers should be in exact form (i.e., do not use a calculator to get a decimal approximation). S dy y= b. Evaluate your integral from part a. Round your answers to the nearest whole number. W
Be sure to take note of the constants in this question (gravity and the fluid in the tank) also your integrand will be in terms of y. A tank full of motor oil has a depth of S= 10 m. A cylindrical object sits upright at the bottom of the tank. This cylindrical object has height H= 5 m and base radius B = 1. a. Set up an integral with respect to y with origin at top of the liquid representing hydrostatic force exerted on the outter wall of the tank (excluding the circular top and bottom of the tank). You will need to use the fact that the denisty of motor oil is 900 kg/ and the acceleration due to gravity is 9.81 m/s². Answers should be in exact form (i.e., do not use a calculator to get a decimal approximation). S dy y= b. Evaluate your integral from part a. Round your answers to the nearest whole number. W
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Be sure to take note of the constants in this question (gravity and the fluid in the tank) also your integrand
will be in terms of y.
A tank full of motor oil has a depth of S= 10 m. A cylindrical object sits upright at the bottom of the
tank. This cylindrical object has height H= 5 m and base radius B = 1.
a. Set up an integral with respect to y with origin at top of the liquid representing hydrostatic force
exerted on the outter wall of the tank (excluding the circular top and bottom of the tank). You will
need to use the fact that the denisty of motor oil is 900 kg/m³ and the acceleration due to gravity is
9.81 m/s². Answers should be in exact form (i.e., do not use a calculator to get a decimal
approximation).
Y
dy
y =
b. Evaluate your integral from part a. Round your answers to the nearest whole number.
W
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