Q3)
A three-phase, Y-connected, 220 V, 13 kW, 60 Hz, six-pole induction motor has the following
parameter values in Ω/phase referred to the stator:
R1 = 0.3 Ω. R2' = 0.15 Ω
X1 = 0.5 Ω. X2'= 0.21 Ω Xm = 13.25 Ω
The total rotational losses are 450 W. The core loss is lumped in with the rotational losses. For a slip of 0.02,
and based on approximate equivalent circuit, determine:
(i) The rotor speed.
(ii) The stator current.
(iii) The power factor of the motor.
(iv) The input power of the motor.
(v) The developed mechanical power.
(vi) The efficiency of the motor.

A generator at a utility company produces 100 A of current at 4.0 x 103 V. The voltage is stepped up to 2.4 x 105 V by a transformer before being sent on a high voltage line across a rural area to a city. Assume the effective resistance of the line is 30.0 Ω and the transformers are ideal.

a. Determine the percentage of power lost in the transmission line.

b. What percentage would be lost if the voltage would not have been stepped up?

c. How many kW-hr of energy is lost each day if the voltage would not have been stepped up?

d. Calculate the cost of this energy loss if the price of electricity is $.11/kW-hr.

1. NASA tested a power generation system that involves connecting a small satellite to the space shuttle with a conductive wire several kilometers long. Explain how such a system can generate electricity.
2. The use of high-voltage lines in homes (for example, 600 V or 1,200 V) would reduce energy waste. Why are they not used?
3. What parameters affect the inductance of a coil? Does the inductance of a coil depend on the current in it?
4. How does resistance, capacitive reactance and inductive reactance change, when the frequency in a circuit is increased?
5. Does the phase angle depend on the frequency? What is the phase angle when the inductive reactance is equal to the capacitive reactance?

A parallel-plate capacitor has capacitance C0 = 7.80 pF when there is air between the plates. The separation between the plates is 1.80 mm.

1- What is the maximum magnitude of charge that can be placed on each plate if the electric field in the region between the plates is not to exceed 3.00×10⁴ V/mV/m?

Express your answer with the appropriate units.

2- A dielectric with KKK = 2.40 is inserted between the plates of the capacitor, completely filling the volume between the plates. Now what is the maximum magnitude of charge on each plate if the electric field between the plates is not to exceed 3.00×10⁴ V/mV/m?

Express your answer with the appropriate units.

This influential member of Congress was a “War Hawk” and was nicknamed “The Great Compromiser”:

a.Tecumseh

b.John Marshall

c.Toussaint L’Ouverture

d.Henry Clay

e.Aaron Burr

This person was Chief Justice of the Supreme Court when the landmark Marbury v. Madison decision was made in 1803

a.Alexander Hamilton

b.John Marshall

c.Henry Knox

d.James Madison

e.Aaron Burr

Of the following, which person is most associated with the “Pan-Indian Movement”:

a.Tecumseh

b.Gabriel

c.Daniel Shays

d.John Marshall

e.Aaron Burr

Of the following, which of these government actions is most associated with restrictions on freedom of the press:

a.Articles of Confederation

b.Naturalization Act of 1790

c.Marbury v. Madison

d.Sedition Act

e.XYZ Affair

Create a class Ledger that will record the sales for a store. It will have the attributes ■ sale—an array of double values that are the amounts of all sales ■ salesMade—the number of sales so far ■ maxSales—the maximum number of sales that can be recorded and the following methods: ■ Ledger(max)—a constructor that sets the maximum number of sales to max ■ addSale(d)—adds a sale whose value is d ■ getNumberOfSales—returns the number of sales made ■ getTotalSales—returns the total value of the sales, Lastly define the following methods for the class Ledger, as described in the previous exercise: ■ getAverageSale()—returns the average value of all the sales ■ getCountAbove(v)—returns the number of sales that exceeded v in value.

1. A 3-phase, 20 kVA, 208 V, 4-pole Y-connected synchronous generator has a synchronous reactance of X_s = 1.5 W per phase. The resistance of the stator winding is negligible. The machine is connected to a 3-phase 208 V infinite bus. Neglect losses.

1. The field current and the mechanical input power are adjusted so that the synchronous machine delivers 10 kW at 0.8 lagging power factor. Determine the excitation voltage E_f and the power angle d.
2. The mechanical input power is kept constant but the field current is adjusted to make the power factor unity. Determine the percent change in the field current with respect to its value in part (a).

(4) A bicycle travels along a straight road. Let p (t) = The position of the bicycle (in feet) at time t(in seconds) v (t) = The velocity of the bicycle (in feet/sec) at time t (in seconds) a (t) = The acceleration of the bicycle (in feet/sec2 ) at time t (in seconds) ( some of these questions require you to write an integral, some don’t; only use an integral to answer a questions if you need to) (a) Using v (t) (and no other variables) write an expression representing the average velocity of the bicycle from t = 20 seconds to t = 50 seconds. Include units in your answer. (b) Using v (t) (and no other variables) write an expression representing the displacement of the bicycle from t = 20 seconds to t = 50 seconds. Include units in your answer. (c) Using v (t) (and no other variables) write an expression representing the average acceleration of the bicycle from t = 20 seconds to t = 50 seconds. Include units in your answer. (d) Using p (t) (and no other variables) write an expression representing the average velocity of the bicycle from t = 20 seconds to t = 50 seconds. Include units in your answer. (e) Using a (t) (and no other variables) write an expression representing the average acceleration of the bicycle from t = 20 seconds to t = 50 seconds. Include units in your answer. (f) Using p (t) (and no other variables) write an expression representing the displacement of the bicycle from t = 20 seconds to t = 50 seconds. Include units in your answer. With clear steps please

3. (a) An outfielder fields a baseball 280 ft away from home plate and throws it directly to the catcher with an initial velocity of 100 ft/s. Assume that the velocity v(t) of the ball after t seconds satisfies the di↵erential equation dv dt = 1 10 v because of air resistance. How long does it take for the ball to reach home plate? (Ignore any vertical motion of the ball.) (Instructor’s hint: Recall that a di↵erential equation of the form dv/dt = kv has solution v(t) = v(0)ekt.) (b) The manager of the team wonders whether the ball will reach home plate sooner if it is relayed by an infielder. The shortstop can position himself directly between the outfielder and home plate, catch the ball thrown by the infielder, turn, and throw the ball to the catcher with an initial velocity of 105 ft/s. The manager clocks the relay time of the shortstop (catching, turning, throwing) at half a second. How far from home plate should the shortstop position himself to minimize the total time for the ball to reach home plate? Should the manager encourage a direct throw or a relayed throw? What if the shortstop can throw at 115 ft/s? (Instructor’s hint: Let x represent the distance between the shortstop and home plate, then find an expression for the time it takes that ball to reach home plate as a function of x. It is also helpful to use a variable w to represent the shortstop’s throwing velocity, since you can then substitute the di↵erent given values in place of w.) (c) For what throwing velocity of the shortstop does a relayed throw take the same time as a direct throw

Please answer part b

Rosie Learns, Inc. manufactures robots and uses an activity-based costing system. Rosie Learns’ activities and related data are listed below:

*The number of units receiving the finish activity, not the number of units transferred to Finished Goods Inventory.

Rosie Learns produces two models of robots, the Rosie V and the Rosie X. The Rosie X has fewer parts and requires no finishing work.

Requirements:

1. Compute the manufacturing product costs per unit of each model of robot.
2. Suppose that pre-manufacturing activities, such as product design were assigned to Roxie V at $8 each and to Rosie X at $5 each. Similar analyses were done on post-manufacturing actives such as distribution, marketing, and customer service. The post-manufacturing costs were $18 for Rosie V and $14 for Rosie X. What is the full product costs per unit?
3. Which product costs are reported in the external financial statements? Which costs are used for management decision making? What is the difference?
4. What price should Rosie Learns set for Rosie X to earn a target net profit of $20 per robot?