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The human heart forces 4×10^3 m^3of blood per minute through arteries under a pressure of 0.13 m . Calculate the horsepower of the heart. The density of blood is 1.03×10^3 kg m^-3

The human heart forces 4×10^3 m^3of blood per minute through arteries under a pressure of 0.13 m . Calculate the horsepower of the heart. The density of blood is 1.03×10^3 kg m^-3

Grade:11

1 Answers

Arun
25750 Points
6 years ago
 
actually:power formula is WORK DONE/TIME
now,
1.work done =force*displacement
                   =pressure*area*displacement   (because:pressure=force/area)
                   =height*density*gravity*area*displacement  (in context of liquid pressure p=hdg)
                  =HDGV finally (because area*displacement taken as volume)
2.time taken
at last formula of power=HDGV/T
solving
(0.13*13.6*1000*9.8*4/1000)60
ans:1.155 i.e.1.2 watt

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