A shear pin is to be shear at 15 hp and 1000 rpm. The pin attaches a hub to a shaft 1.5 inches in diameter and shear pin diameter is 1/2 in. Find the ultimate shearing stress of the shear pin for a factor of safety of 3. A. 10,420 psi B. 19,259 psi C. 14,444 psi D. 16,444 psi

A torque of 44-kip-in. is applied on an aluminum shaft as shown in the figure. Use G=3.7 × 106 psi. 3 in Assuming that the solid shaft has been replaced by a hollow shaft of the same outer diameter and a 1-in. inner diameter, determine the angle of twist. The angle of twist is |

1. A 1—ft cable weighing 5 lb / ft supports a safe weighing 500 lb. Find the work done inwinding 80 ft of the cable on a drum. 2. A right circular cylindrical tank of radius 2 ft and height 8 ft is full of water. Find the workdone in pumping the water to the top of the tank. Assume that the water weighs 62.5 lb/ft3 3. A conical vessel is 12 ft across the top and 15 ft tall. If it contains a liquid weighing ???/??3 to a depth of 10 ft, find the work done in pumping the liquid to a height 3 ft above the top of the vessel. 4. A force is of 3 pounds is needed to stretch a spring to 12 inches from its natural length of 10 inches. Determine the spring constant and find the work done in stretching the spring from its natural length to 16 inches. 5. A horizontal cylindrical tank 4 ft in diameter and 10 ft long is full of water. Find the work done by pumping all the water upward through an outlet 10 ft above the axis of the tank. note: need illustrations for each solution

A water pump increases the water pressure from 15 psia to 80 psia. Determine the flow work, in Btu/lbm, required by the pump.

The flow through a ½ in diameter pipe is 4 GPM with a pressure drop of 1 PSI. What would the pressure drop be for the same flow through a 1.5 in diameter pipe?

2. Two hydraulic cylinders maintain a pressure of 1200 kPa. One has a cross- sectional area of 0.01 m2, the other 0.03 m2. To deliver work of 1 kJ to the piston, how large a displacement V and piston motion H are needed for each cylinder? Neglect Patm.

The dimensions of Pressure is Select one: O a. ML-1T-2 O b. MLT-2 O c. MLT1 O d. ML-'T1 O e. ML-2T-2

A scuba diver makes a slow descent into the depths of the ocean. His vertical position with respect to a boat on the surface changes several times. He makes the first stop 9.0 m from the boat but has a problem with equalizing the pressure, so he ascends 3.0 m and then continues descending for another 12.0 m to the second stop. From there, he ascends 4 m and then descends for 18.0 m, ascends again for 7 m and descends again for 24.0 m, where he makes a stop, waiting for his buddy. Assuming the positive direction up to the surface, express his net vertical displacement vector in terms of the unit vector. What is his distance to the boat?

Verigy that the SI of hpg is N/m2.

1. Find kinetic energy per cubic meter of flowing blood (V =1 m') in aorta for individual at Q = 5 liter/min, radius of aorta 1 cm. The density of blood is rest. Suppose flow rate is about p-1.05-10' kg/m. R =