the human heart forces 4 into 10 ki power minus 3 M cube of blood permanent through the arteries under the pressure of 0.13 M calculate the horsepower of the heart the density of blood is 1.03 into 10 ki power 3 kilogram per metre cube 80 9.8 metre per second square and 1h curable 746 word
Answers
Answer:
Explanation:
V = volume = 4 L
h = pressure = 130 mm of mercury
p = density = 13.6 gm/cm^3
t = time = 1 minute
The Volume of blood
V = 4 litres
V = 4 x 10^3 cm^3
V = 4 x 10^-3 m^3
Work done is given by the formula --> Force x Distance
Note that Force = Pressure x Area, & Volume = Area x Distance
Therefore:
Work = Force x Distance
Work = Pressure x Area x Distance
Work = Pressure x Volume
Work = (h)(p)(g)(V)
Power is Work "over" time = hpgV / t
We already know:
v = volume = 4 L => 4x10^-3 m^3
h = pressure = 125 mm of mercury => 0.13 m
p = density = 1.03 gm/cm^3 = 1.03x10^3
t = 1 minute => 60 seconds
The extra variable is:
g = gravity = 9.8 m/s^2
Plug these numbers into the Power equation:
Power = hpgV/t
Power = [(0.125)(1.03x10^3)(9.8)(4x10^-3)]/(60)
Power = 69.3056 / 60
Power = 0.84116