Giancoli 7th Edition textbook cover
Giancoli's Physics: Principles with Applications, 7th Edition
8
Rotational Motion
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8-1: Angular Quantities
8-2 and 8-3: Constant Angular Acceleration; Rolling
8-4: Torque
8-5 and 8-6: Rotational Dynamics
8-7: Rotational Kinetic Energy
8-8: Angular Momentum
8-9: Angular Quantities as Vectors

Question by Giancoli, Douglas C., Physics: Principles with Applications, 7th Ed., ©2014, Reprinted by permission of Pearson Education Inc., New York.
Problem 8
Q

A bicycle with tires 68 cm in diameter travels 9.2 km. How many revolutions do the wheels make?

A
4300 rev4300 \textrm{ rev}
Giancoli 7th Edition, Chapter 8, Problem 8 solution video poster
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VIDEO TRANSCRIPT

This is Giancoli Answers with Mr. Dychko. With each revolution of the bicycle wheel, it travels a linear distance equal to the circumference of the wheel and the circumference is π times d. So we multiply the total distance that the wheel travels, l, which is 9.2 kilometers and times by 1 revolution for every circumference, πd, and we get our answer. So that's 9.2 times 10 to the 3 meters times 1 revolution for every π times 68 times 10 to the negative 2 meters— this is centimeters converted into meters times 10 to the minus 2— and that gives 4300 revolutions of the bicycle wheel.

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