Numerical and Graphical Reasoning A crossed belt connects
Chapter 4, Problem 4.6.64(choose chapter or problem)
Numerical and Graphical Reasoning A crossed belt connects a 10-centimeter pulley on an electric motor with a 20-centimeter pulley on a saw arbor (see figure). The electric motor runs at 1700 revolutions per minute. (a) Determine the number of revolutions per minute of the saw. (b) How does crossing the belt affect the saw in relation to the motor? (c) Let be the total length of the belt. Write as a function of where is measured in radians. What is the domain of the function? (Hint: Add the lengths of the straight sections of the belt and the length of belt around each pulley.) (d) Use a graphing utility to complete the table. (e) As increases, do the lengths of the straight sections of the belt change faster or slower than the lengths of the belts around each pulley? (f) Use a graphing utility to graph the function over the appropriate domain.
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