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

[mathdad]

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?

 

[MarkFL]

Are you sure it's section 6.2? In my copy, that section is on "Trigonometric Functions of Real Numbers."

 

[mathdad]

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.

 

[MarkFL]

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?

 

[mathdad]

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.

 

[MarkFL]

Okay, just post the questions...that'd be better anyway. :)

 

[mathdad]

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.