Classical Mechanics Answers

1. A desktop computer is to be cooled by a fan whose flow rate is 0.30 m3/min. Determine the mass flow rate of air through the fan at an elevation of 3400 m where the air density is 0.7 kg/m3. Also, if the average velocity of air is not to exceed 95 m/min, determine the minimum diameter of the casing of the fan. Answers: 0.00350 kg/s, 0.0634 m.

2. Air can a nozzle steadily at 2.21 kg/m3 and 20 m/s and leaves at 0.762 kg/m3 and 150 m/s. If the inlet area of the nozzle is 60 cm2, determine (a) the mass flow rate through the nozzle, and (b) the exit area of the nozzle. Answers: a) 0.265 kg/s, (b) 23.2 an'

1. A 0.75-m3 rigid tank initially contains air whose density is 1.18 kg/m3. The tank is connected to a high-pressure supply line through a valve. The valve is opened, and air is allowed to enter the tank until the density in the tank rises to 4.95 kg/m3. Determine the mass of air that has entered the tank. Answer: 2.83 kg

2. Consider the flow of an incompressible Newtonian fluid between two parallel plates that are 4 mm apart. If the upper plate moves to the right with u1 = 5 m/s while the bottom one moves to the left with u2 = 1.5 m/s, what would be the net flow rate at a cross-section between two plates? Take the plate width to be 5 cm.

1. If the velocity of water changes uniformly along the transition from VA = 10 m/s to VB = 4 m/s. determine the pressure difference over the distance x.

2. Air is pumped into the top of the tank so that the pressure at B is 40 kPa. Determine the discharge of water through the drainpipe when h = 5 m.

1. A fountain is produced by water that flows up the tube at 0.08 m3, and then radially through two cylindrical plates before exiting to the atmosphere. Determine the velocity and pressure of the water at point A.

2. Water flows through the 30-mm-diameter ripe at 0.002 m3/s and is ejected from the 10-mm-diameter nozzle at B. Determine the velocity and pressure of the water at point A.

3. Water flows through the transition at 0.3m3/s, which causes the water to rise within the piezometer at A to a height of hA = 350 mm. Determine the height hB.

1. Water flows into the rectangular tank through pipes A and B, with velocities of 4 m/s and 2 m/s, respectively. Determine the rate at which the surface of the water is rising. Ignore the effect of gravity on the falling water.

2. The water in the cylindrical storage tank is being drained using a pump. If the water is pumped out of the tank at 0.2 m3/s, determine the rate at which the level in the tank is descending.

1. The unsteady flow of glycerin is such that at A it has a velocity of VA = (5t1/2) m/s, where t is in seconds. Determine the acceleration of a fluid particle located at x = 0.3 m when t = 1 s. Hint Determine V = V(x,t), then find the material derivative.

2. The cylindrical plunger traveling at VP = (0.004t1/2) m/s, where t is in seconds, injects a liquid plastic into the mold to make a solid ball. If d = 50 min, determine the amount of time needed to do this. The volume of the ball is V = 4/3(pi)(r3).

3..The cylinder is pushed down into the tube at a rate of V = 5 m/s. Determine the velocity of the liquid as it rises in the tube.

The diameter of the large piston of a hydraulic press is 20 cm, and the area of the small piston is 0.50 cm2. If a force of 400 N is applied to the small piston, (a) what is the resulting piston? (c) Underneath the large piston?

The car is going 30s speed of 20m/s then with the speed of 10m/s it drives 300m. more whats the middle speed of the car.

The sun has a mass of 1.99 * 10^30 and the earth has a mass of 5.98 * 10^24kg. If the force of gravity between the sun and the earth is 3.55 * 10^22N how far is the earth from the sun? What is the tangential speed of the earth around the sun?

Your search - a turntable is a uniform disk of mass 12kg and radius 0.13metres. the turntable is spinning at initial constant frequency of 33 cycles per minute. the motor is turned off and the turntable slows down to a stop in 8 seconds due to frictional torque. what is the magnitude of the frictional torque acting on the table -