5

Researchcardiology erercise physic logy it is often important Knowthe Tass blooo pumped DY person heamt stroke This information obtained Tedns ballistocardi ograph_...

Question

Researchcardiology erercise physic logy it is often important Knowthe Tass blooo pumped DY person heamt stroke This information obtained Tedns ballistocardi ograph_ The Instrument Worke as follows: The subject Iles norizontal oallet floating film of alr; Frictian the pallet Iligible. Initially _ the momentum the system zer0 When the hcart beats expels Mjss blood into the Jorto witn solco and the body and platform move the opposite direction with specd V. The speed of the blood can DC deiermnined

research cardiology erercise physic logy it is often important Knowthe Tass blooo pumped DY person heamt stroke This information obtained Tedns ballistocardi ograph_ The Instrument Worke as follows: The subject Iles norizontal oallet floating film of alr; Frictian the pallet Iligible. Initially _ the momentum the system zer0 When the hcart beats expels Mjss blood into the Jorto witn solco and the body and platform move the opposite direction with specd V. The speed of the blood can DC deiermnined 'endently (for example obsenrinc ultrasound Doppler shift) . Assume thatthe blcod's specd 55.0 cm/s typical trial: The mass of the subject plus the pallet 54.0 kg. The pallet moves 160 after one heartbeat, Calculate the mass blooc that eavcs tne heart, ASSUme mass blood negligible compared with the tota mass of the person. This simplified example illustrates the principle ballistocardiography, but practice moro sophisticated mode heurt function Useg Need Help? Read It



Answers

In research in cardiology and exercise physiology, it is often important to know the mass of blood pumped by a person's heart in one stroke. This information can be obtained by means of a ballistocardiograph. The instrument works as follows. The subject lies on a horizontal pallet floating on a film of air. Friction on the pallet is negligible. Initially, the momentum of the system is zero. When the heart beats, it expels a mass $m$ of blood into the aorta with speed $v$, and the body and platform move in the opposite direction with speed $V$. The blood velocity can be determined independently (e.g., by observing the Doppler shift of ultrasound). Assume that it is $50.0 \mathrm{cm} / \mathrm{s}$ in one typical trial. The mass of the subject plus the pallet is 54.0 kg. The pallet moves $6.00 \times 10^{-5} \mathrm{m}$ in $0.160 \mathrm{s}$ after one heartbeat. Calculate the mass of blood that leaves the heart. Assume that the mass of blood is negligible compared with the total mass of the person. (This simplified example illustrates the principle of ballistocardiography, but in practice a more sophisticated model of heart function is used.)

All right, so in this case we have the total mass of 54 kg Which is going to move a distance of 6.0 times 10 to the -5 m in a time of .16 seconds. And we know that the velocity of the blood is 50 cm/s or .5 m/s. And so really looking at here is a conservation of momentum. So we know that the mass of the whole body times its speed is going to equal the mass of the blood times it speak. And this speed right here, we can use distance over time just to approximate. So this is really going to be mass times distance over time. It's gonna be massive. Blood times velocity of blood. We can divide both sides by the velocity of blood to give the mass of the blood. So we have mass of the whole body times its distance over velocity of the blood times time. If you plug all those numbers in, you should get a value of 0.04 or five kilograms. Yeah, there we go. Or 40.5 grapes.

So the recoil speed of the subject plus the palate after a heartbeat, we're gonna say Capital V this would be dealt to see of adult T. This is going to be equaling 6.0 times 10 to the negative fifth meters and then divided by time interval 0.160 seconds. This is giving us 3.75 times 10 to the negative forthe meters per second. We can then say, from the conservation of momentum indeed minus um e equals zero. And so we can say that lower case M being of course, the mass of the blood leaving the heart would be equal in capital m divided by the again that recoil speed divided by lower case t lower case v lower case G being the blood feed the blood speed in one child and so this would be equaling 54.0 kilograms multiplied by 3.75 times 10 to the negative fourth meters per second, divided by point 500 meters per second or 50 centimeters per second. Of course, we're converting two meters per second and me then find that the mass of the blood leaving the heart would be 4.5 times 10 to the negative second kilograms. Or, we could say 40 0.5 grams. Either correct. Other answer is correct. That is the end of the solution. Thank you for watching.

In this question. It is about the blood flow in from the heart to the into the aorta. Okay, so, um, the doctor measures of 6000 hertz frequency shift our when he uses 2.5 megahertz off ultrasound so we can use that to find a speed off the blood flow in order. So, in part, A, we'll be using All right, Delta Air. If it goes two f times we owe, I ve Okay. So, uh oh, yes. Ah, don't call s pounds be divide by two f. So the daughter FB 6000 me and then the frequency is 2.5 megahertz, and then the speed is 1540 Okay, so complete this, and then you get the speed of blood flow to be 1.8 m per second. Okay. Okay. So this is the answer for part A and part B. We need to calculate a pressure difference in the blood pressure. The difference in blood pressure between the inside the hearts and the order. Okay, So to do this are using the Bernoulli's equation easy. The new lease equation. Okay, so we have key one good plus half. Roll me one square equals two p two plus have a role be to square. Okay, so we are given that, uh, everyone is equal to zero. So one is the heart and two is the aura. Okay, so we want is equal to zero, and then we want to find the pressure difference. Um, so p one minus p two is equal to have grow B two square. Okay, so this is equal to have times 1060 times, 1.8 square. What? So you calculate this, you get the pressure difference to be, um 1810 Hi, Scott. Well, so this is the pressure difference between the heart and the aura. Okay, And that's all for this question.

All right, so we have the main chute of eye. One is the squared of one. The magnitude of I two is equal to the square root of 1/2 which is one over four plus three over 41 in magnitude by three is also equal to one. So I won dot I two is equal to 1/2 That's here. 1/2 comma zero I want that I three is equal to negative 1/2 court zero. And finally I, too that I three is equal to negative 1/4 comma three Force negative 1/4 comma positive 3/4


Similar Solved Questions

5 answers
21) JI LogeAchem Loge(43')
21) JI LogeA chem Loge(43')...
5 answers
Point) Use the 'mixed partials check to see if the following differential equation is exact: Ifit is exact find function F(x, Y) whose level curves are solutions to the differential equation(-3e* sin(y) Y)dx + (~x - 3e* cos(y))dy =F(x,y) =
point) Use the 'mixed partials check to see if the following differential equation is exact: Ifit is exact find function F(x, Y) whose level curves are solutions to the differential equation (-3e* sin(y) Y)dx + (~x - 3e* cos(y))dy = F(x,y) =...
5 answers
MA11Z HW# 6Box vour answer.Sec 241 Sketch a graph ofthe curve ad Find the equation ofthe line tangent to the indicated curves at the given points: its tangent line__y =x2 + 2x+5 @ (2,13)Find the equation ofthe line normal toy = 27 @ (-1,4)Review: Find the velocity and acceleration of an object moving (in meters) along the path s(t) = -4.9t2 + 100t 50 @ t =2 seconds __
MA11Z HW# 6 Box vour answer. Sec 241 Sketch a graph ofthe curve ad Find the equation ofthe line tangent to the indicated curves at the given points: its tangent line__ y =x2 + 2x+5 @ (2,13) Find the equation ofthe line normal toy = 27 @ (-1,4) Review: Find the velocity and acceleration of an object ...
5 answers
5 convergence: exercises 1-16, determine the radius 250+ and interval of
5 convergence: exercises 1-16, determine the radius 250+ and interval of...
5 answers
Problem: Two point charges are separated by d-2 cm. Find the electric potential at (a) point and (b) point which halfway between the charges: [Answer: 39 kV, 10.8 kV]60,0"15.0 nC27.0 TC
Problem: Two point charges are separated by d-2 cm. Find the electric potential at (a) point and (b) point which halfway between the charges: [Answer: 39 kV, 10.8 kV] 60,0" 15.0 nC 27.0 TC...
5 answers
The radar controller Boris spotted two 3 planes in the air: The computer is calculating paths of both planes and these are found to be = (147 - ~ St)i + (-156+ 9)j+ (5+ 0.25tk and P1 = (-118+ 7t)i+ (189 _ 1t)j+ (7+ 0.2t)k Pz a Find the speed of both planes in kmh-! Find whether the two paths cross and if b yes, find the point of intersection: Determine whether the planes will collide: Justify your answer:
The radar controller Boris spotted two 3 planes in the air: The computer is calculating paths of both planes and these are found to be = (147 - ~ St)i + (-156+ 9)j+ (5+ 0.25tk and P1 = (-118+ 7t)i+ (189 _ 1t)j+ (7+ 0.2t)k Pz a Find the speed of both planes in kmh-! Find whether the two paths cross a...
5 answers
CHzOH OHOH HoOhCOONH;HOOhO
CHzOH OH OH Ho Oh COO NH; HO OhO...
5 answers
021Find the exact solutions t0 the equations(a} lnx + In} = In 6,(6} e+ 3e '= 4
021 Find the exact solutions t0 the equations (a} lnx + In} = In 6, (6} e+ 3e '= 4...
5 answers
What atm is the pressure under ideal conditions for 250.0 mL of 95 mg Ne gas at 27.00 C? (R = 0.0821 Latm mol-Ik-1)Geri bildirim gonder
What atm is the pressure under ideal conditions for 250.0 mL of 95 mg Ne gas at 27.00 C? (R = 0.0821 Latm mol-Ik-1) Geri bildirim gonder...
5 answers
1. For this question uge the graph below to answer the questions1 7points) Is the graph of a function? Explain_(b)points) If it i8 function express it a8 piecewise function.
1. For this question uge the graph below to answer the questions 1 7 points) Is the graph of a function? Explain_ (b) points) If it i8 function express it a8 piecewise function....
5 answers
HeenPreviousreprasonts the ennthcunin Irompolnt ( ~] , 0) to thepoinl) Consider the curve datined by tha cquation port (2.121.Sdl vontegral :J11+(4x62+21421DnTnlm mstSomici
Heen Previous reprasonts the ennth cunin Irom polnt ( ~] , 0) to the poinl) Consider the curve datined by tha cquation port (2.121. Sdl vo ntegral : J11+(4x62+21421 DnT nlm mst Somici...
1 answers
$\begin{array}{l}{\text { Find } \quad \partial z / \partial u \text { and } \partial z / \partial v \quad \text { when } u=\ln 2, v=1 \quad \text { if } \quad z=} \\ {5 \tan ^{-1} x \quad \text { and } \quad x=e^{u}+\ln v}\end{array}$
$\begin{array}{l}{\text { Find } \quad \partial z / \partial u \text { and } \partial z / \partial v \quad \text { when } u=\ln 2, v=1 \quad \text { if } \quad z=} \\ {5 \tan ^{-1} x \quad \text { and } \quad x=e^{u}+\ln v}\end{array}$...
5 answers
1. Compute the following derivatives.cos(a) X dxdt(b)d[ dt 1+cos
1. Compute the following derivatives. cos (a) X dx dt (b) d[ dt 1+cos...
5 answers
The statement is completed by the information belowisaturated i hex-?-enei unsaturated ii- cyclopentane+unsaturated ii- hex-2-ene1saturated ii- cyclopentane
The statement is completed by the information below isaturated i hex-?-ene i unsaturated ii- cyclopentane +unsaturated ii- hex-2-ene 1saturated ii- cyclopentane...
5 answers
Ucstion 1 (10 points} A fan rotating clockwise and its acceleration has positive velocity of the fan spceding Up. slowing Gown or sign. the angular constant?The fan Is slowing down.The fan Is speeding Up.The angular velocily of the fan is constantWc cannot tell without additional informatian:
ucstion 1 (10 points} A fan rotating clockwise and its acceleration has positive velocity of the fan spceding Up. slowing Gown or sign. the angular constant? The fan Is slowing down. The fan Is speeding Up. The angular velocily of the fan is constant Wc cannot tell without additional informatian:...
2 answers
Prove or disprove: For all sets S,U with S = U we have 28 U2(s) = 2U
Prove or disprove: For all sets S,U with S = U we have 28 U2(s) = 2U...
5 answers
HW2: ProblemPraioug PrcbleinProblem LIst Next Problcmpolnt) Find the general solution %t) which solves the probem below; by Inc mnethod ot Integratlng faclorsFund Lne Intcgrbig Ijclox, u(t) and then tlnd p(t)GInu Unaown Gon-unci
HW2: Problem Praioug Prcblein Problem LIst Next Problcm polnt) Find the general solution %t) which solves the probem below; by Inc mnethod ot Integratlng faclors Fund Lne Intcgrbig Ijclox, u(t) and then tlnd p(t) GInu Unaown Gon-unci...

-- 0.019118--