Assume that the left side of your heart creates a pressure of 114 mm Hg by exerting a force directly on the blood over an effective area of 16.0 cm2. What force does it exert to accomplish this?
114 mm Hg = 15198.75 pascals
16.0 cm^2 = 0.0016 m^2
P=F/A
15198.75=F/0.0016
F=24.318 newtons
To find the force exerted by the left side of the heart, we need to use the equation:
Force = Pressure × Area
Given:
Pressure = 114 mm Hg
Area = 16.0 cm^2
Let's convert the pressure from mm Hg to Pascal (Pa) and the area from cm^2 to m^2.
1 mm Hg = 133.32 Pa
1 cm^2 = 0.0001 m^2
Now let's substitute the values into the equation:
Force = (114 mm Hg) × (133.32 Pa/mm Hg) × (16.0 cm^2) × (0.0001 m^2/cm^2)
Simplifying the equation:
Force = 212.12 N
Therefore, the left side of the heart exerts a force of 212.12 N to create a pressure of 114 mm Hg over an effective area of 16.0 cm^2.
To find the force exerted by the left side of the heart, we can use the formula:
Force = Pressure × Area
First, we need to convert the pressure from mm Hg to N/m2 (Pascal), as the SI unit of force is Newton (N) and the SI unit of pressure is Pascal (Pa).
1 mm Hg is equivalent to 133.3 Pa.
So, the pressure in Pascal would be:
114 mm Hg × 133.3 Pa/mm Hg = 15252 Pa
Now, we can substitute the known values into the formula:
Force = 15252 Pa × 16.0 cm2
However, the unit of area is in cm2, but we need it in m2.
1 cm2 = 0.0001 m2
So, the area in square meters is:
16.0 cm2 × 0.0001 m2/cm2 = 0.0016 m2
Substituting the values into the formula:
Force = 15252 Pa × 0.0016 m2
Calculating the force:
Force = 24.4032 N
Therefore, the left side of the heart exerts a force of approximately 24.4 Newtons to generate a pressure of 114 mm Hg on the blood over an effective area of 16.0 cm2.