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• Kinematics & Rotational Motion
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```				   The heart of man pumps 4litres of blood per minute at a pressure of 130mm of mercuryIf density of mercury is 13.6g/cm3.Find the power of heart
0.02w
0.2w
3.2w
1.2w
```

5 years ago

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```										power=work /time=f*d/t=f*v(v=velocity)
Assume the area to be 1 mm2.
Power=hdg*v
h=height
d=density
g=acc. Due to gavity
v=velocity(here = rate of flow of blood)
ANS is 1.15= 1.2W(TAKE CARE OF THE UNITS)

```
5 years ago
```										WORK DONE W IS GIVEN BYW = F X DF = PA (PRESSURE X AREA)OR W = P A.D = P (AD) = P VOR WORK DONE = PRESSURE X VOLUMEHERE PRESSURE P = 130mm OF Hg = 105 * 130/760 OR P = 13 x 105 / 76 PaVOLUME V = 4L = 4000 cm3 = 4x10-3 m3HENCE W = PV = (13 x 105 / 76 ) x 4x10-3OR Wok done  = 68.42 JOULESNOW THE PUMPING OF 4 L OF BLOOD IS DONE IN 1min = 60sTHUS POWER = WORK DONE/TIMEOR POWER = 68.42/60 = 1.1403 WATTS
```
5 years ago
```										P =work /timef*d/t=f*v(v=velocity)Assume the area to be 1 mm2.Power=hdg*v h=height d=density g=acc.Due to gavity v=velocity(here = rate of flow of blood)ANS is 1.15= 1.2W
```
5 years ago
```										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 = 130 mm of mercury => 0.13 m p = density = 13.6 gm/cm^3 = 13.6x10^3 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 = [(0.13)(13.6x10^3)(9.8)(4x10^-3)]/(60) Power = 69.3056 / 60 Power = 1.155093 Therefore the power of the heart is approximately 1.155 W
```
12 days ago

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