Mathematics for Elementary Teachers with Activities (5th Edition)
5th Edition
ISBN: 9780134392790
Author: Beckmann, Sybilla
Publisher: PEARSON
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Textbook Question
Chapter 11.1, Problem 2P
For each of the following items, state which U.S. customary units and which metric units In common use would be most appropriate for describing the size of the item. In each case, say briefly why you chose the units.
- The volume of water In a full bathtub
- The length of a swimming pool
- The weight of a slice of bread
- The volume of a slice of bread
- The weight of a ship
- The length of an ant
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☐
Part 1:
A linear electrical load draws 1₁ A at a 0.72 lagging power factor. See the table to find ½ for your
student ID. When a capacitor is connected, the line current dropped to 122 A and the power factor
improved to 0.98 lagging. Supply frequency is 50 Hz.
a. Let the current drawn from the source before and after introduction of the capacitor be 1₁ and I₂
respectively. Take the source voltage as the reference and express 11 and 12 as vector
quantities in polar form.
b. Obtain the capacitor current, Ic = 12 − I₁, graphically as well as using complex number
manipulation. Compare the results.
c. Express the waveforms of the source current before (į (t)) and after (i2(t)) introduction of the
capacitor in the form Im sin(2лft + 0). Hand sketch them on the same graph. Clearly label your
plots.
d. Analytically solve i̟2(t) − i₁ (t) using the theories of trigonometry to obtain the capacitor current
in the form, ic(t) = Icm sin(2πft + 0c). Compare the result with the result in Part b.
Chapter 11 Solutions
Mathematics for Elementary Teachers with Activities (5th Edition)
Ch. 11.1 - For each of the following metric units, give...Ch. 11.1 - For each of the following items, state which U.S....Ch. 11.1 - What does it mean to say that a shape has an area...Ch. 11.1 - Discuss why it is easy to give an incorrect...Ch. 11.1 - Discuss: Why is it not completely correct to...Ch. 11.1 - Describe how it could happen that three different...Ch. 11.1 - Pick two ideas or concepts from your reading of...Ch. 11.1 - Visit a store and write down at least 10 different...Ch. 11.2 - Describe one-dimensional, two-dimensional, and...Ch. 11.2 - Describe one-dimensional, two-dimensional, and...
Ch. 11.2 - Drawing on your reading from this section,...Ch. 11.2 - Describe one-dlmenslonal, two-dlmenslonal, and...Ch. 11.2 - The Lazy Daze Pool Club and the Slumber-N-Sunshine...Ch. 11.2 - Suppose there are 2 rectangular pools: One is 30...Ch. 11.2 - Minh says that the rectangle on the left in Flgure...Ch. 11.3 - One source says that the average distance from the...Ch. 11.3 - If an object is described as weighing 6.20 grams,...Ch. 11.3 - Tyra ls calculating the distance from town A to...Ch. 11.3 - John has a paper square that he believes is 100 cm...Ch. 11.3 - Sally has a Plexiglas cube that she believes is...Ch. 11.4 - A recipe calls tor 4 ounces ot chocolate. If you...Ch. 11.4 - A class needs 27 pieces of ribbon, each piece 2...Ch. 11.4 - To convert 24 yards to feet, should you multiply...Ch. 11.4 - To convert 2000 kilometers to meters, should you...Ch. 11.4 - Shauntay used identical plastic bears to measure...Ch. 11.4 - A car is 16 feet, 3 inches long. How long is it in...Ch. 11.4 - The distance between two cities is described as...Ch. 11.4 - In Germany, people often drive 130 kilometers per...Ch. 11.4 - One foot is 12 inches. Does this mean that 1...Ch. 11.4 - A room has a floor area of 48 square yards. What...Ch. 11.4 - One kilometer is 1000 meters. Does this mean that...Ch. 11.4 - One foot is 12 inches. Does this mean that 1 cubic...Ch. 11.4 - How much mulch will you need to cover a...Ch. 11.4 - A classroom has a floor area of 600 square feet....Ch. 11.4 - A house has a floor area of 800 square meters....Ch. 11.4 - A house has a floor area of 250 square meters....Ch. 11.4 - The Smiths will be carpeting a room in their...Ch. 11.4 - One acre is 43,560 square feet. If a square piece...Ch. 11.4 - A construction company has dump trucks that hold...Ch. 11.4 - The following questlon explores why It doesn’t...Ch. 11.4 - A penny is 116 of an inch thick. Suppose you have...Ch. 11.4 - Write 100 zeros on a piece of paper and time how...Ch. 11.4 - For a certain type of rice, about 50 grains till a...Ch. 11.4 - Assuming that 1 gram of gold is worth $30 how much...Ch. 11.4 - Imagine that all the people on earth could stand...Ch. 11.4 - Joey has a toy car that is a 1: 64 scale model of...
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