Can you help me with angular and linear speed applications in precalculus?

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Discussion Overview

The discussion revolves around specific problems related to angular and linear speed applications in precalculus, as presented in the David Cohen Precalculus Third Edition textbook. Participants seek clarification on particular questions from Section 6.1, including the context of wheel rotations and distances traveled.

Discussion Character

  • Homework-related
  • Technical explanation

Main Points Raised

  • One participant requests help with specific problems from Section 6.1, particularly questions 33, 35, and 41, related to angular and linear speed.
  • Another participant questions the section number referenced, suggesting it may be Section 6.2, which focuses on "Trigonometric Functions of Real Numbers."
  • After clarification, it is confirmed that the relevant section is indeed Section 6.1.
  • Problem 33 is described, involving a wheel with a diameter of 3 ft and the distance traveled by a point on its circumference.
  • Another participant mentions a different problem involving the radius of Earth and two wheels connected by a belt, indicating a potential mix-up in the questions being discussed.
  • One participant expresses their enthusiasm for the textbook and their personal journey in relearning precalculus, noting their past experience and current self-study efforts.

Areas of Agreement / Disagreement

Participants do not fully agree on the specific questions being referenced, leading to some confusion regarding the correct section and problems. The discussion remains unresolved regarding the exact questions and their setups.

Contextual Notes

Participants have not yet provided their mathematical work or solutions, which may limit the ability to address the problems effectively. There is also a mention of varying editions of the textbook, which may lead to discrepancies in problem numbers and content.

Who May Find This Useful

Individuals studying precalculus, particularly those interested in angular and linear speed applications, may find this discussion relevant. It may also be useful for those seeking collaborative help with homework problems.

mathdad
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Mark,

Hello. I ask for you specifically because you have the David Cohen Precalculus Third Edition textbook. I am having trouble understanding questions 33, 35, and 41 in Section 6.2, ANGULAR AND LINEAR SPEED applications. Can you help me?
Can you at least set it up for me?
 
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Are you sure it's section 6.2? In my copy, that section is on "Trigonometric Functions of Real Numbers."
 
MarkFL said:
Are you sure it's section 6.2? In my copy, that section is on "Trigonometric Functions of Real Numbers."

My apologies. I meant Section 6.1.
 
Okay, in my copy, problem 33 is as follows:

[box=yellow]33.) A wheel 3 ft. in diameter makes $x$ revolutions. Find $x$, given that the distance traveled by a point on the circumference of the wheel is 22619 ft. (Round off your answer to the nearest whole number.)[/box]

What is the distance traveled by the point over 1 revolution? How about over $x$ revolutions?
 
MarkFL said:
Okay, in my copy, problem 33 is as follows:

[box=yellow]33.) A wheel 3 ft. in diameter makes $x$ revolutions. Find $x$, given that the distance traveled by a point on the circumference of the wheel is 22619 ft. (Round off your answer to the nearest whole number.)[/box]

What is the distance traveled by the point over 1 revolution? How about over $x$ revolutions?

This is not the question. The question I refer to talks about the radius of Earth. Number 41 in my copy talks about two wheels connected by a belt. The radius of the little wheel is 6 cm and the radius of the big wheel is 10 cm. I like your posted question as well.

I am working now. I am not home. When I get home tonight, I will post all the questions I got wrong from Section 6.1 and, of course, show my math work. I just love my precalculus textbook. David Cohen is or was brilliant.
 
Okay, just post the questions...that'd be better anyway. :)
 
Ok. I get home between 12am and 1am. I will wait until tonight. It is really hard to work out math problems and work at the same time. For me at 52, math is just a hobby. Math has nothing to do with my actual job classification but I cannot get away from my wonderful David Cohen book for one second. I just love this course.

BTW, I took precalculus at Lehman College in the Spring 1993 semester and got an A minus. I took the course as an elective. This was a long time ago. I have forgotten most of the material. I am going through the course on my own with the help of the MHB and youtube clips. My goal is to learn precalculus well enough to do the same with Calculus 1-3.
 

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