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Standard X

Physics

Power

The heart of ...

Question

The heart of a man pumps 4000 c.c. of blood through the arteries per minute at a pressure of 130 mm of Hg. If the density of mercury is 13.6 $\times$ 10 $^{3}$ kgm $^{- 3}$ , what is the power of heart?

0.115 HP

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1.15 HP

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1.15 watt

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2.30 watt

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Solution

The correct option is C 1.15 watt
Given
$V = 4000 c c$
$P = 130 m m H g$
$ρ_{H g} = 13.6 \times 10^{3} K g m^{- 3}$
$t = 1 m i n = 60 s$
Power is given by
$P = \frac{W}{t}$
$P = \frac{F . r}{t}$
$P = \frac{P A r}{t}$
$P = \frac{P V}{t}$
$P = \frac{(0.13) (13.6 \times 10^{3}) (9.8) (4000 \times 10^{- 6})}{60}$
$P = \frac{69.3}{60} = 1.15 W$

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The heart of a man pumps 4000 c.c. of blood through the arteries per minute at a pressure of 130 mm of Hg. If the density of mercury is 13.6 × 103 kgm−3, what is the power of heart?

The correct option is C 1.15 wattGivenV=4000ccP=130mmHgρHg=13.6×103Kgm−3t=1min=60sPower is given byP=WtP=F.rtP=PArtP=PVtP=(0.13)(13.6×103)(9.8)(4000×10−6)60P=69.360=1.15W

The heart of a man pumps 4000 c.c. of blood through the arteries per minute at a pressure of 130 mm of Hg. If the density of mercury is 13.6 $\times$ 10 $^{3}$ kgm $^{- 3}$ , what is the power of heart?