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A crossed belt connects a 16-centimeter pulley (x = 8-cm radius) on an electric motor with a 32-centimeter pulley (y = 16-cm radlus) on a saw arbor, as shown In the figure below. The electric motor runs at 1,900 revolutions per minute. Determine the number of revolutions per minute of the saw. rpm (b) How does crossing the belt affect the saw In relation to the motor? Crossing the belt ensures the direction of the saw and that of the motor are the same. , Crossing the belt reverses the direction of the saw from that of the motor. (c) Let L be the total length of the belt. Write L as a function of ø, where o Is measured in radlans. (Hint: Add the lengths of the stralght sections of the belt and the length of the belt around each pulley.) L = What is the domain of the function? (Enter your answer using Interval notation.) (d) Use a graphing utility to complete the table. (Round your answers to one decimal place.) 0.3 0.6 0.9 1.2 1.5

A crossed belt connects a 16-centimeter pulley (x = 8-cm radius) on an electric motor with a 32-centimeter pulley (y = 16-cm radlus) on a saw arbor, as shown In the figure below. The electric motor runs at 1,900 revolutions per minute. Determine the number of revolutions per minute of the saw. rpm (b) How does crossing the belt affect the saw In relation to the motor? Crossing the belt ensures the direction of the saw and that of the motor are the same. , Crossing the belt reverses the direction of the saw from that of the motor. (c) Let L be the total length of the belt. Write L as a function of ø, where o Is measured in radlans. (Hint: Add the lengths of the stralght sections of the belt and the length of the belt around each pulley.) L = What is the domain of the function? (Enter your answer using Interval notation.) (d) Use a graphing utility to complete the table. (Round your answers to one decimal place.) 0.3 0.6 0.9 1.2 1.5

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A crossed belt connects a 16-centimeter pulley (x = 8-cm radius) on an electric motor with a 32-centimeter pulley (y = 16-cm radlus) on a saw arbor, as shown in the figure below. The electric motor runs at 1,900 revolutions per minute. (a) Determine the number of revolutions per minute of the saw. rpm (b) How does crossing the belt affect the saw in relation to the motor? Crossing the belt ensures the direction of the saw and that of the motor are the same. , Crossing the belt reverses the direction of the saw from that of the motor. (c) Let L be the total length of the belt. Write L as a function of ø, where o Is measured in radlans. (Hint: Add the lengths of the straight sections of the belt and the length of the belt around each pulley.) L = What is the domain of the function? (Enter your answer using interval notation.) (d) Use a graphing utility to complete the table. (Round your answers to one decimal place.) 0.3 0.6 0.9 1.2 1.5
Transcribed Image Text:A crossed belt connects a 16-centimeter pulley (x = 8-cm radius) on an electric motor with a 32-centimeter pulley (y = 16-cm radlus) on a saw arbor, as shown in the figure below. The electric motor runs at 1,900 revolutions per minute. (a) Determine the number of revolutions per minute of the saw. rpm (b) How does crossing the belt affect the saw in relation to the motor? Crossing the belt ensures the direction of the saw and that of the motor are the same. , Crossing the belt reverses the direction of the saw from that of the motor. (c) Let L be the total length of the belt. Write L as a function of ø, where o Is measured in radlans. (Hint: Add the lengths of the straight sections of the belt and the length of the belt around each pulley.) L = What is the domain of the function? (Enter your answer using interval notation.) (d) Use a graphing utility to complete the table. (Round your answers to one decimal place.) 0.3 0.6 0.9 1.2 1.5
(f) Find lim L. - (R/2) (9) Use a geometric argument as the basis of a second method of finding this limit in part (f). o As o → the length of the belt can be computed from the triangles formed. o As o the entire length of the belt is wrapped completely around the pulleys with no straight sections. o As o - the the belt is only connected to the larger pulley. As e - the distance between the pulleys approaches o. o As o - the the belt is only connected to the smaller pulley. (h) Find lim L.
Transcribed Image Text:(f) Find lim L. - (R/2) (9) Use a geometric argument as the basis of a second method of finding this limit in part (f). o As o → the length of the belt can be computed from the triangles formed. o As o the entire length of the belt is wrapped completely around the pulleys with no straight sections. o As o - the the belt is only connected to the larger pulley. As e - the distance between the pulleys approaches o. o As o - the the belt is only connected to the smaller pulley. (h) Find lim L.
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