A reservoir of water has the surface at 310 m above the outlet nozzle of a pipe with diameter 15 mm. Applying Torricelli's theorem, what is : (a) the velocity of efflux (b) the discharge out of the nozzle, in metre'/second.

Compute the drop in blood pressure along a 30 cm length of artery of radius 0.5 cm. Assume that the artery carries blood at a rate of 8 liter/min.

A vertical cylindrical tank of height h and radius R has a narrow crack of width w running vertically from top to bottom. If the tank is initially filled with water and allowed to drain through the crack under the influence of gravity, find the instantaneous depth of the water as a function of time. How long will it take the tank to empty? Hint: First imagine the crack to be a series of adjacent orifices, and integrate to find the total efflux from the crack in the infinites imal time interval dt. P 3:43

Water towers store water above the height of most consumers for times of heavy use, eliminating the need for high-speed pumps. In this problem use ρ for the density of water and g for the gravitational acceleration.  Part (a) What is the height, h, in terms of the variables given in the introduction, that the water level in such a tower must have above a user in order for the user to receive water at gauge pressure P?  Part (b) What is this height, in meters, if the gauge pressure required is 2.95 × 105 Pa?

The U-tube in Fig.  is moving to the right with variablevelocity. The water level in the left tube is 6 cm, andthe level in the right tube is 16 cm. Determine the accelerationand its direction.

Consider the air and the bell jar. After the syringe has been pumped, the volume of air in the jar (increase,decrease or remains the same) the pressure (increase, decrease or remains the same) and the density (increase, decrease or remains the same).

Calculate the Reynolds numbers for the flow of water through a nozzle with a radius of 0.270 cm and a garden hose with a radius of 0.940 cm, when the nozzle is attached to the hose. The flow rate through hose and nozzle is 0.485 L/s. (Assume the temperature of the water is 20°C.) (a) a nozzle with a radius of 0.270 cm Can the flow possibly be laminar? Yes No (b) a garden hose with a radius of 0.940 cm Can the flow possibly be laminar? Yes No

If you were to break the 64 mm capillary in half and repeat the flow rate measurement with water, how would your measured values change?

A 1000 L tank contains 500 L of water with a salt concentration of 10 g/L. Water with a salt concentration of 60 g/L flows into the tank at a rate of 80 L/min. The fluid mixes instantaneously and is pumped out at a specified rate Rout. Let y(t) denote the quantity of salt in the tank at time t. Find the salt concentration when the tank overflows assuming that Rout = 40 L/min.

Assume that a raindrop has a volume of 0.05 cm^3 and you need an Avogadro's number of raindrops to fill up the cubic water tank. What is the length of the edge of the tank?