Show that the area bounded by the curve, (x/2)^2 /3 + (y/4)^2/3 = 1 is 3π.
Find the volume of the solid formed by revolving the curve, r=a(1+cosθ), about the initial line.
Find the volume of the solid generated by revolving about the x-axis by the curve, y2 = 9x and the line y = 3x
A voltage source 𝑣(𝑡)=240 sin(314.16𝑡−20v°)𝑉 is connected to a load having an toa load having an impedance of Z. The resulting current through the load is 𝑖(𝑡)=15 sin(314.16𝑡+22.5°)A. Determine the circuit power factor and identify the elements that constitute the load, given that Z comprises of only two elements connected in series.
An electrical load operates at 120 Vrms The load absorbs an average of 8 kW at .lagging power factor of 0.8 The effective current I rms is:
select one:
a. 43.48 A
b. 41.67 A
c. 90.91 A
d. 83.33 A
e. 45.45 A
The current in a series circuit of R = 50 and L= 50 mH lags the applied voltage by 80 °,the angular frequency w is:
Select one:
a. 945 rad/s
b. 473 rad/s
c. 709 rad/s
d. 405 rad/s
e. 567 rad/s
An electrical load operates at 240 V rms. The load absorbs an average of 8 KW at lagging power factor of 0.6 The reactive power Q is:
Select one:
а. 6.48L25.84°Ω
b. 5.04L45.57°Ω
с. 4.32L53.13°Ω
d. 5.76L36.87°Ω
е. З.бL60°Ω
A voltage V, =220L 30° Volt in a 3 phase ABC sequence system .Find VB:
A. 220 L-90° V
B. none of these
C. 220L -120° V
D. 220 L150° V
A 2000V, 100KW, 9000 rpm series connected DC motor has an armature resistance of 6Ω and a negligible field resistance.
(a) Determine the armature current at the rated load.
(b) Determine the copper loss at the rated load.
(c) Determine the mechanical loss knowing that the no-load armature current is 7 A at a speed of 9000 rpm.
(d) Determine the full load mechanical torque delivered to the load at a speed of 9000 rpm.
(e) Determine the efficiency of the motor.