Answered: Example 4 :- For the system shown in…

Example 4 :- For the system shown in figure, Find the amount of salt in tank at any time (t). H.W Qin 50 gal/min Cin=(1+ cos t) lb/gal V=1000 gal h Cin= 200 lb/gal Qin = 50 gal/min

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Q: Suppose a spring with spring constant 8 N/m is horizontal and has one end attached to a wall and the…

A: We have to find the mass For this we use the formula for frequency of oscillation in undamped…

Q: Consider the vector field F (x, y) = (x- y) I– xj. Let C denote the curve parametrised by the vector…

A: Vector integration

Q: Tank A initially holds 100 gallons of brine that contains 100 lbs of salt while tan B holds 100…

A: This is a problem of modeling differential equations.

Q: 2) A tank with capacity of 500 gallons initially holds 200 gallons of salt water containing 100 lb…

A: The capacity of the tank is 500 gallons initially holds 200 gallons of salt water containing 100 lb…

Q: A tank contains 90 kg of salt and 1000 L of water. A solution of a concentration 0.045 kg of salt…

Q: Expenditure of a family on 3 times are in the ratio of 2:5:3. The prices of these commodities rise…

Q: Given Jo −4x³ y dx + 5xz dy + (x + y)² dz, where C' is the helix parameterized by r (t) = (–4t, sin…

Q: The tank shown in the figure was filled with 100 liters of substance A in a concentration of 10g /…

A: Given: The tank having 100 liters of substance A in a concentration of 10g / L. Material A is fed…

Q: 5. A ladder of length 4v3 metres is resting on a wall. The wall makes a 60-degree angle with the…

Q: A 5500 kg railcar hits a bumper (a spring) at 1.3 m/s, and the spring compresses by 0.06 m. Assume…

Q: 24. If Total Cost = 5Q² – 20Q + 8 what is the cost of one more unit when current level of output =…

A: Given that Total cost=5Q2−20Q+8 We have to find the cost of one more unit when current level output…

Q: A brine solution of salt flows at a constant rate of 5 L/min into a large tank that initially held…

A: Given that, A brine solution of salt flows at constant rate of 5L/min, initial volume is 100L, and…

Q: 3. S w°cosw dw

Q: Exercises 8.1 In Exercises 1 through 20, find the area of the region bounded by the given curves. In…

A: The objective is to find the area of region between the curves a) Sketch the curve. b) Express…

Q: 3. A cake is removed from an oven and its temperature is measured at 300°F. After 5 minutes, its…

A: A cake is removed from an oven and its temperature is measured at 300° F. After 5 minutes, its…

Q: temperature of the body and that of the surrounding air. If a body in air at 25°C will cool from…

A: From the Newton's law of cooling dT/dt = k(Tt – Ts) Where, Tt = Temperature of the body at time t…

Q: Number 6

A: 6The velocity of a car is given by : v(t)=t2+2t here, v(t) is measured in ft/sec and t is measured…

Q: A 88.3 g piece of copper (specific heat 0.380 J/g.°C) is heated and then placed into 400.0 g of…

Q: Suppose that the temperature of a cup of coffee obeys Newton's law of cooling. If the coffee has…

Q: 9. Find dr dt.

Concept explainers

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

Example 4 :- For the system shown in figure, Find the amount of salt in tank at any
time (t).
H.W
Qin
50 gal/min
Cin=(1+ cos t) lb/gal
V=1000 gal
h
Cin= 200 lb/gal
Qin
= 50 gal/min

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Differential Equation$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.

Similar questions

Q) Two tanks are connected as shown in figure below. Starting from time t=0 the pumping process shown in figure was applied. Find the amount of salt in each tank as a function of time. 6 L/min 10N/L sak T1 4 L/min T2 4 L/min 2 L/min 100 L pure H;0 100 L pure H,O
At the bottom of a swimming pool, the pressure exerted at a given point is proportional to the depth of the water above it. In particular, the pressure at a given point of depth d is equal to 10, 000d Pascals. We will investigate the total pressure at the bottom of a swimming pool depending on its shape. You may view 3D models of the swimming pools for reference here (note that this is one model plotting the depth as a function of x and y, so represents essentially the pool flipped upside-down): https://www.geogebra.org/m/nnf4yhax (a) Suppose we have a rectangular pool that is 50 meters long and 25 meters wide. The pool has a shallow end that is 1 meter deep at the edge, a deep end 50 meters away that is 3 meters deep at the edge, and is such that the bottom of the pool forms a linear slant in between (so along a line segment parallel to the short side, the pool has constant depth, and along a line segment parallel to the long side, the pool's depth varies linearly). Set up and…
III. For Items Below Please Refer To This Problem An object is moving upwards in such a way that its distance S in centimeters above the earth's surface in t seconds is given by S=2250+1960t-490t2
For a system as shown in Figure below, the tank is 5.419m radius and length is twice the radius, contain water with initial salt 200kg. fresh brinc contain (1 + cos t) kg/min of salt running in the tank at rate (50 m³/min) and the mixture kept practically uniform and runs out the tank at same rate. find the amount of salt in the tank after 1 hours.
1. Suppose that a commercial truck has an efficiency of 120 – 2v m(v) miles/gallon going at speed of v miles/hour. The driver's rate is 15 dollars/hr, and gas is $3.50/gal- lon. a. Find the cost C(v) per mile to travel at speed v mph. b. Find the cheapest driving speed.