The results of the no-load and blocked-rotor tests on a 3-φ, y-connected, 60-hz, 2000-hp induction machine with a stator phase resistance of 0.02 ω are as follows: no-load test: total input power = 11.617 kw line-to-line voltage = 2300 v line current = 26.55 a blocked-rotor test: total input power = 319.22 kw line-to-line voltage = 462.68 v line current = 407.75 a frequency = 60 hz (a) calculate the parameters r1, x1, xm, r’2, and x’2 of the approximate equivalent circuit. (b) draw the equivalent circuit of the induction motor using the parameters from 3(a).

Astudent throws a water balloon with speed v0 from a height h = 1.76 m at an angle θ = 21° above the horizontal toward a target on the ground. the target is located a horizontal distance d = 9.5 m from the student’s feet. assume that the balloon moves without air resistance. use a cartesian coordinate system with the origin at the balloon's initial position. (a) what is the position vector, rtarge t, that originates from the balloon's original position and terminates at the target? put this in terms of h and d, and represent it as a vector using i and j. (b) in terms of the variables in the problem, determine the time, t, after the launch it takes the balloon to reach the target. your answer should not include h. (c) create an expression for the balloon's vertical position as a function of time, y(t), in terms of t, vo, g, and θ. (d) determine the magnitude of the balloon's initial velocity, v0, in meters per second, by eliminating t from the previous two expressions.