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Submarines change their depth by adding or removing air from rigid ballast tanks, thereby displacing seawater in the tanks. Consider a submarine that has a 700m3 air-ballast tank originally partially filled with 100m3 of air at 1500 kPa and 15oC. For the submarine to surface, air at 1500 kPa and 20oC is pumped into the ballast tank, until it is entirely filled with air. The tank is filled so quickly that the process is adiabatic and the seawater leaves the tank at 15oC. Determine the final temperature and mass of the air in the ballast tank.
a 200 lb divers stands on the end of the diving board. determine the shear force and bending moment diagrams
A surveyor measures an angle with two instruments; call them A and B. Both instruments produced unbiased measurements, but the standard deviation of measurements made with instrument A is twice that of B.
A solid steel sphere with a specific gravity of 7.85 and diameter of 0.02 m is falling at its terminal velocity through water at 25 °C. Using either trial-and-error or a graphical approach, determine the velocity of the sphere
The tower crane is used to hoist the 2-Mg load upward at constant velocity. The 1.5-Mg jib BD , 0.5-Mg jib BC , and 6-Mg counterweight C have centers of mass at G1 , G2 , and G3 , respectively.
If the ultimate BOD of the mixed river water is 30mg/L, the rate constant for BOD at 20ºC is 0.6d-1, the reaeration rate constant at 20ºC is 0.8d-1, and the removal of BOD by sedimentation can be neglected
The spring loaded supporting rods AB and AC in the figure below aer used as shock absorbers for transporting fragile loads. Knowing that the elastic spring constants for the rods AB and AC are kab = 1.2 kN/m and kac = 1.5 k N/m
The path of motion of a 7-lb particle in the horizontal plane is described in terms of polar coordinates as r= (3t+2) and theta=(0.2t^2-t) , where t is in seconds. Determine the magnitude of the unbalanced force acting on the particle when t=3s.
A sphere L ft in diameter is moving horizontally at a depth of 12 ft below a water surface where the water temperature is 50°F. v max = 1.5 V0. where V0. is the free stream velocity and occurs at the maximum sphere width.
A particular soil has a total (moist) unit weight of 122 pcf and a dry unit weight of 101 pcf. The specific gravity of soil is 2.70. Calculate the water content and degree of saturation.
At a wastewater treatment plant, FeCl3 (s) is added to remove excess phosphate from the effluent. Assume the following reactions occur: FeCl3(s) Fe3+ + 3Cl- Fe3+ + PO4 (3-) FePO4 The equilibrium constant for the second reaction is 10^26.4.
An industrial waste water treatment plant discharges into a large river. the industrial waste water is at 1m^3/s and contains an ultimate BOD concentration of 300mg/L at a temperature of 30 degrees C and a DO concentration of 2.5mg/L
Assuming uniformly decelerated motion, determine the velocity and acceleration of point C of the belt, (a) immediately before the power is turned off. (b) 9 s later.
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