Concept explainers
Cycling When a cyclist pedals. he turns a gear, called a chainring. The angular velocity of the chainring will determine the linear speed at which the chain travels. The chain connects the chainring to a smaller gear, called a sprocket, winch is attached to the rear wheel (Figure 11). The angular velocity of the sprocket depends upon the linear speed of the chain. The sprocket and rear wheel rotate at the same rate, and the diameter of the rear wheel is 700 millimeters. The speed at which the cyclist travels is determined by the angular velocity of his rear wheel. Use this information to answer Problems 63 through 67.
On level ground, a pro cyclist would use a larger chainring and a smaller sprocket. If he shifted to a 210-millimeter-diameter chainring and a 40-millimeter-diameter sprocket, how fast would he be traveling in kilometers per hour if he pedaled at a rate of 80 revolutions per minute?
Want to see the full answer?
Check out a sample textbook solutionChapter 3 Solutions
Trigonometry (MindTap Course List)
Additional Math Textbook Solutions
Pathways To Math Literacy (looseleaf)
Thinking Mathematically (6th Edition)
Elementary Algebra For College Students (10th Edition)
Calculus: Early Transcendentals (2nd Edition)
Elementary & Intermediate Algebra
Intro Stats, Books a la Carte Edition (5th Edition)
- Plot each point given its polar coordinates. Then, give another pair of polar coordinates for the same point with the opposite radius and angle 0 ≤ 0 < 2π (or 0 ≤ 0 < 360°). (-6, 120°)arrow_forwardFind two additional polar representations of the given point such that one has the same sign as r but the opposite sign of 0, and the other has the opposite sign of r but the same sign as 0. 3, - π 6arrow_forwarde consider the problem -((1+x)))= 0 XE U(0) = 0, 'U(1)=\@Sind the analytical sol and he Find the Variational form and find Matrix A and b? consider the Variational form a (u,v)-(SV) where acu,v) = vdx prove that YVE H. (0,1),i=1, 2, \\-\ a(vi)=-v(x-1)+2V(xi)-(X;+1)] Where Vn is usual basis of hat functions. Consider the Problem Au=f and u= du=0 0 a with bilinear formalu,v) = SAU. AV r Prove that alu, v). V-ellPitic. and aluv) is continuous..arrow_forward
- The resistance, R, of a conductor is directly proportional to its length, 7. If the resistance. of 3.80 km of a certain transmission line is 121 ohms, find the resistance of 74.9 km of that line. Round your answer to 3 significant digits. Ωarrow_forwardThe number of widgets that a manufacturing plant can produce varies jointly as the number of workers and the time that they have worked. Find the constant of proportionality k to 2 decimal places if 455 workers work 6 hours and can produce 11493.3 widgets. k = How many widgets (to the nearest tenth) can be produced by 490 workers in 37 hours? Widgets =arrow_forward### Based on the figure below, find an equation in which you can determine x as a function of only z, y, a, and barrow_forward
- Z x ·b-arrow_forwardNo A.i Solve pleasearrow_forwardSketch the graph of a function y − f(2) such that all of the following statements are true: - • lim_ f(x) — −2 1+0+ lim f(x)-1 1+0 • f(0) - -1 ⚫lim f(x) - co 2 lim f(x) - 1+2+ --∞ H NW 2 3 6 5 4 -6 - 5 -4 -3 -2 -1 1 2 3 4 -1 -2 -3 -4 -5 -6 20 5 6 7arrow_forward
- Algebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningTrigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage LearningHolt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage LearningTrigonometry (MindTap Course List)TrigonometryISBN:9781305652224Author:Charles P. McKeague, Mark D. TurnerPublisher:Cengage Learning