Calculating Wheel Revolutions with Rotational Kinematics

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Homework Help Overview

The problem involves calculating the number of revolutions a bicycle's wheels make when traveling a specific distance, given the diameter of the tires. The subject area pertains to rotational kinematics and the relationship between linear distance and circular motion.

Discussion Character

  • Exploratory, Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • Participants discuss using the circumference of the wheel to determine the number of revolutions. Questions arise regarding the correct calculation of the circumference and how to apply it to the total distance traveled.

Discussion Status

There is ongoing exploration of the relationship between the distance traveled in one revolution and the total distance. Some participants provide guidance on the calculations, while others express confusion about the results they are obtaining. Multiple interpretations of the calculations are being discussed.

Contextual Notes

Participants note discrepancies in their calculations and question the method of dividing the total distance by the circumference. There is an emphasis on ensuring the correct application of formulas without arriving at a definitive solution.

SnowOwl18
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This problem is supposed to be easy, but I can't seem to figure it out.

----A bicycle with 62.8cm diameter tires travels 7.90km. How many revolutions do the wheels make? ----

I know I can use the circumference somehow...if anyone can help me out I'd really appreciate it. :)
 
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What is the distance the bicycle travels in one revolution of the wheel?
 
Try finding the perimeter of the circle and then diving the total distance by it.

Since one circle perimeter = 1 revolution
 
So if I find the circumference and divide that by the total distance, I'd get how many revolutions? Because I did that...0.628mPi / 7900m = 2.49E-4...but the program says I'm wrong..hmmm...or if I multiply the two...it's still comes out wrong...yup, I'm still lost...sorry :/
 
You have the total distance 7900 M and you have the distance traveled in one revolution, .628 meters.

You're trying to find out how many revolutions go into the total distance.
 
Your goal is to figure out how many revolutions the tire must make in order to travel 7900 metres. In one revolution the tired travels .628pi metres. In two revolutions it will travel 2*.628*pi revolutions, in 3, 3*.628*pi. So how many revolutions must it make to travel 7900 metres?
 
SnowOwl18 said:
So if I find the circumference and divide that by the total distance, I'd get how many revolutions? Because I did that...0.628mPi / 7900m = 2.49E-4...
you divided wrong it's supposed to be total distance divided by the 0.628mpi
 

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