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Physics / College Physics 1 / Chapter 12 / Problem 27

College Physics | 1st Edition | ISBN: 9781938168000 | Authors: Paul Peter Urone, Roger Hinrichs

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The left ventricle of a resting adult’s heart pumps blood

Chapter 12, Problem 27

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QUESTION:

Problem 27PE

The left ventricle of a resting adult’s heart pumps blood at a flow rate of 83.0 cm3 /s , increasing its pressure by 110 mm Hg, its speed from zero to 30.0 cm/s, and its height by 5.00 cm. (All numbers are averaged over the entire heartbeat.) Calculate the total power output of the left ventricle. Note that most of the power is used to increase blood pressure.

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QUESTION:

Problem 27PE

The left ventricle of a resting adult’s heart pumps blood at a flow rate of 83.0 cm3 /s , increasing its pressure by 110 mm Hg, its speed from zero to 30.0 cm/s, and its height by 5.00 cm. (All numbers are averaged over the entire heartbeat.) Calculate the total power output of the left ventricle. Note that most of the power is used to increase blood pressure.

ANSWER:

Solution to 27PE

Step 1 of 2

We need to find the total power output of the left ventricle of a heart if it pumps the blood at a rate of and a pressure of and fluid velocity of . The height of the blood is increased by .

We need to use the following equation to compute the power output.

Here,

is the pressure.

is the velocity

is the density of the fluid.

is the acceleration due to gravity

is the height

is the fluid flow rate.

In this question, the pumping of blood changes the velocity of blood, its height and its pressure.

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