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- A car engine moves a piston with a circular cross sectionof 7.500 ± 0.002 cm diameter a distance of3.250 ± 0.001 cm to compress the gas in the cylinder. (a)By what amount is the gas decreased in volume in cubiccentimeters? (b) Find the uncertainty in this volume(a) As blood passes through the capillary bed in an organ,the capillaries join to form venules (small veins). If the bloodspeed increases by a factor of 4.00 and the total crosssectionalarea of the venules is 10.0 cm2 , what is the totalcross-sectional area of the capillaries feeding these venules?(b) How many capillaries are involved if their averagediameter is 10.0 μm ?wwife pevity T00ml sample of blood has a mass of 53.2 g a)Caleulate the density of the blood. W Calculate the specifie gravity of the blood. Answer
- If the density (mass divided by volume) of the wall material is the same as that of pure water, what is the mass (in mgmg) of the cell wall, assuming the cell to be spherical and the wall to be a very thin spherical shell?Let ρAl represent the density of aluminum and ρFe that of iron. Find the radius of a solid aluminum sphere that balances a solid iron sphere of radius rFe on an equal-arm balance.When the rate of blood flow in the aorta is 5 liter/min, the velocity of the blood in the capillaries is about 0.33 mm/sec. If the average diameter of a capillary is 0.008 mm, calculate the number of capillaries in the circulatory system.
- (a) As blood passes through the capillary bed in an organ, the capillaries join to form venules (small veins). If the blood speed increases by a factor of 4.00 and the total cross- sectional area of the venules is 10.0 cm2 , what is the total cross-sectional area of the capillaries feeding these venules? (b) How many capillaries are involved if their average diameter is 10.0 µm ?A car engine moves a piston with a circular crosssection of 7.500 ± 0.002 cm in diameter a distance of 3.250 ± 0.001 cm to compress the gas in the cylinder. (a) By what amount is the gas decreased in volume in cubic centimeters? (b) Find the uncertainty in this volume.Assuming biological substances are 100% water, estimate the mass of a human kidney. Take a kidney to be roughly a sphere with a radius of 4 cm. kg
- The volume of liquid flowing per second is called the volume flow rate Q and has the dimensions of [L][T]. The flow rate of a liquid through a hypodermic needle during an injection can be estimated 60. with the following equation: TR"(P2 – P,) 8nL The length and radius of the needle are L and R, respectively, both of which have the dimension [L]. The pressures at opposite ends of the nee- dle are P, and P,, both of which have the dimensions of [M]/{[L][T]*}. The symbol 7 represents the viscosity of the liquid and has the dimen- sions of [M]/{[L][T]}. The symbol 7 stands for pi and, like the number 8 and the exponent n, has no dimensions. Using dimensional analysis, de- lermine the value of n in the expression for Q.Assume it takes 6.00 minutes to fill a 45.0-gal gasoline tank. (1 U.S. gal = 231 in.3)Calculate the rate at which the tank is filled in cubic meters per second.Determine the time interval, in hours, required to fill a 1.00-m3 volume at the same rate.(e) The dynamic coefficient of viscosity ? (viscosity of a fluid) is found from the formula:? =????F is the force exerted on the liquid, A is the cross sectional area of the path, v is the fluid velocityand l is the distance travelled by the fluid. Using dimensional analysis techniques, determine theequation that governs ? and its dimensions using the results of (b) and the equation in c, clearlyshowing all steps in the dimensional analysis