for the function v = 12 sin 40, calcualte the
For the water shooting out of the pipe and nozzle under the conditions shown
in figure below, find the height, h about the nozzle to which the water jet will
shoot. Assume negligible head loss.
nozzle
diameter=0.1m
point A
dia=0.2m
PA=55kPa
A 25-kVA, 2500/250-V distribution transformer is connected as a stepup autotransformer, with the load connected to both the primary and secondary windings and the input connected to the secondary windings only. For this combination, draw the circuit diagram and determine:
a) the primary winding voltage,
b) the secondary winding voltage,
c) the voltage transformation ratio,
d) the nominal rating of the autotransformer.
A working substance undergoes a reversible non flow process during which P = (-3V + 100) psia, where V changes from 10 ft3/min to 30 ft3/min. The change of internal energy for the process is – 100 BTU/min. For a non-flow process, determine a) work (BTU/min) b) heat transferred (BTU/min).
Find the centroid of the solid generated if the region bounded by y = 2- x^2, x=0, and y=0 is revolved about the y-axis.
Find the area between the curves y^2 - y + x = 0 and y^2 = x + 3.
3.9. A hunter desires to go to a point northeast but because of a canyon
he goes ½ mile due east and then turns left and travels ¾ mile in a straight
direction in degrees did he travel in going the ¾ mile?
3-7. A stream has parallel banks and ie 1000 ft across. A boat has traveled
500 it in a straight line making 30° with the bank. At this instant find the distance the boat has gone parallel to the bank and the shortest distance to
the opposite bank.
3-5. A vector is 4 in. long and has a direction-sense of 60°.
(a) Resolve
the vector into horizontal and vertical components,
(b) Find the components
of this vector on lines making 15° and 75° with the horizontal. (c) Find the
components of this vector along and perpendicular to a line making 30° with
the horizontal,
3-3.
Given five vectors whose lengths and direction-senses are as follows:
Ac, is 1.5 in. long and 90°; Aa, is 1.25 in, long and 315°; Aay is 2 in. long and
0°; AQ, is 1.25 in. long and 225°; Ad, is 1.5 in. long and 45°. Find the vector
sum of the first four, and subtract Ad, from this resultant vector.