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Water is flowing through a pipe of 100 mm diameter under a pressure of 19.62 N/cm^ 2 (gauge) and with a mean velocity of 3.0 m/s. Find the total head of the water at a cross-section, which is 8 m above the datum line.
A simply supported beam 6 meters long. From the left support there is a uniformly distibuted load of 12kN/m for 2 meters. One meter from the left a bending moment of 10 kNm anticlockwise is applied.
Take E = 200 GPa and I = 9 x 10-6m4
Use Macaulay' s method and take x = 0 on the left.
How can Calculus be applied in Building Maintenance?
Design a fixed area internal compression inlet that will start at M0 = 2.9 for an aircraft that will cruise at Mach number of 2.4, Determine the
following Capture to throat area ratio AC / A t . Determine efficiency of the inlet after starting at M0 = 2.9 and the shock located at the throat.
Determine efficiency of the inlet after starting at M0 = 2.4 and the shock located at the throat. Determine the Mach number at which the inlet will
un-start.
An axial compressor stage has a mean diameter of 70cm and run at 14000 rpm. If the actual temperature rise and pressure ratio developed are 30°C and 1.4 respectively, determine
(i) the power required to drive the compressor while delivering 57 kg/s of air, assume mechanical efficiency of 86% and an initial temperature of 35°C. (6)
(ii) the stage load coefficient (3)
(iii) the stage efficiency and (3)
(iv) the degree of reaction if the temperature at the rotor exit is 55°C
The barometer of a mountain hiker reads 930 mbars at the beginning of a hiking trip and 780 mbars at the end. Neglecting the effect of altitude on local gravitational acceleration, determine the vertical distance climbed. Assume an average air density of 1.20 kg/m3
A golf ball is dropped from a height of 20 ft upon a hardened steel plate. The coefficient of restitution is 0.894. Find the height to which the ball rebounds on the first, second, and third bounces.
Converting Bearings to Azimuth
1. AB, DUE NORTH
2. BS, S75°25'W
3. GE, N0°54'W
4. IO, S50°50'E
5. AC, N27°35'E
6. XY, DUE WEST
7. YZ, N25°75'E
8. WX, S80°54'E
9. UV,S10°50'W
10. ST, DUE EAST
Converting Azimuth to Bearing
1. Azim of Line DE = 228° 15'
2. Azim of Line EF = 135° 00'
3. Azim of Line DE = 0°
4. Azim of Line EF = 357° 59'
5. Azim of Line CD = 70° 30'
6. Azim of Line DE = 90°
7. Azim of Line EF = 135° 00'
8. Azim of Line DE = 200° 09'
9. Azim of Line EF = 37° 19'
Converting Azimuth to Bearing
Azim of Line DE= 228° 15'
