
Concept explainers
Amperage, Wattage, and Voltage Amperage is a measure of the amount of electricity that is moving through a circuit, whereas voltage is a measure of the force pushing the electricity. The wattage W consumed by an electrical device can be determined by calculating the product of the amperage I and voltage V. (Source: Wilcox. G. and C. Hesselberth, Electricity for Engineering Technology, Allyn & Bacon.)
(a) A household circuit has voltage
V = 163 sin 120πt
when an incandescent light bulb is turned on with amperage
I = 1.23 sin 120πt.
Graph the wattage W — VI consumed by the light bulb in the window [0.0.05] by [ -50. 300].
(b) Determine the maximum and minimum wattages used by the light bulb.
(c) Use identities to determine values for a. c. and w so that W — a cos(wt) + c.
(d) Check by graphing both expressions for W on the same coordinate axes.
(e) Use the graph to estimate the average wattage used by the light. For how many watts (to the nearest integer) would this incandescent light bulb be rated?

Want to see the full answer?
Check out a sample textbook solution
Chapter 5 Solutions
Trigonometry (11th Edition)
- Question 10 (5 points) (07.04 MC) Vectors u and v are shown in the graph. -12-11 -10 -9 -8 -7 -6 -5 What is proju? a -6.5i - 4.55j b -5.2i+2.6j с -4.7631 3.334j d -3.81i+1.905j < + 10 6 5 4 3 2 -3 -2 -10 1 -1 -2 -3 u -4 -5 -6 -7arrow_forwardFind the lengths of PR and OR in terms of the angles α and β. Find the angles ∠ONQ and ∠NPQ. Find the lengths of ON and PN in terms of the angle β. Find the length of PQ. Find the length of QR. Find the length of OM. Find the length of RM. What formula can you write down by noting that PR = QR + PQ? What formula can you write down by noting that OR = OM - RM?arrow_forward5) Solve the triangle. 2 95° 4 B с A) c=3.63, A=59.5°, B = 25.5° C) c = 4.63, A = 59.5°, B = 25.5° A B) c 4.63, A 25.5°, B = 59.5° = = D) c 5.63, A = 25.5°, B = 59.5°arrow_forward
- Find zw. Leave your answer in polar form. = လ 3π 2 z = 6 cos 6 cos 37 3π + i sin 2 57 W = 12 cos + i sin 6 6 ༠།ལྦ་arrow_forward10 Write the expression (1 – i) i)in the standard form a + bi.arrow_forward11) The letters r and 0 represent polar coordinates. Write the equation r sine = 10 using rectangular coordinates (x, y). A) x = 10y B) y = 10 C) x = 10 D) y = 10xarrow_forward
- 18) Find all the complex cube roots of - 8i. Leave your answers in polar form with the argument in degrees.arrow_forwardWrite the complex number √3 - i in polar form.arrow_forward2 10) The letters x and y represent rectangular coordinates. Write the equation x² + 4y = 4 using polar coordinates (r, e). A) 4 cos² 0 + sin² 0 = 4r C) r²(4 cos² 0 + sin² 0) = 4 B) cos² 0 + 4 sin² 0 = 4r D) r² (cos20 + 4 sin² 0) = 4arrow_forward
- 2) A radio transmission tower is 130 feet tall. How long should a guy wire be if it is to be attached 6 feet from the top and is to make an angle of 20° with the ground? Give your answer to the nearest tenth of a foot.arrow_forward4) Two sides and an angle are given. Determine whether the given information results in one triangle, two triangles, or no triangle at all. Solve any triangle(s) that results. b=6, c=7, B = 80° A) one triangle B=40°, A = 60°, a = 13 C) one triangle C 39°, A 61°, a = 15 = B) one triangle C=41°, A = 59°, a = 17 D) no trianglearrow_forward7) A painter needs to cover a triangular region 63 meters by 67 meters by 74 meters. A can of paint covers 70 square meters. How many cans will be needed?arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageAlgebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal LittellCollege AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
- Algebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningHolt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGALGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill




