An automobile with 0.260 m radius tires travels 80,000 km before wearing them out. How many revolutions do the tires make, neglecting any backing up and any change in radius due to wear?

Glencoe Physics: Principles and Problems, Student Edition
1st Edition
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter7: Gravitation
Section: Chapter Questions
Problem 89A
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An automobile with 0.260 m radius tires travels 80,000 km
before wearing them out. How many revolutions do the tires
make, neglecting any backing up and any change in radius
due to wear? 

Formula Sheet and Checklist for Circular Motion and Gravitation
Topic
Uniform Circular Motion
Definition/Formula
Motion in a circular path with constant speed.
Distance traveled by an object along a circular
path.
Arc length, As
Rotation Angle, AO
As
The Radian
Linear Velocity, v
2n radians = 1 revolution = 360°
Rate of change of arc length with respect to
As
time. v =
At
Angular Velocity, w
Rate of change of angle with respectto time.
W =
At
Relationship between Angular Velocity and
Linear Velocity
Centripetal Acceleration, ac
v = rw
v2
a =
a = rw?
Centripetal Force, F.
mv2
F =
; F = mrw?
%3D
Inertial Frame of reference
A Frame of Reference moving with constant
velocity.
Non-Inertial Frame of reference
An accelerating Frame of Reference.
Fictitious Force
An unrealforce due to a Non-Inertial Frame of
Reference.
Centrifugal Force
An unrealforce due to circular motion.
Coriolis Force
A fictitious force observed froma Non - Inertial
frame of Reference.
Universal Law of Gravitation
F = G
r2
Transcribed Image Text:Formula Sheet and Checklist for Circular Motion and Gravitation Topic Uniform Circular Motion Definition/Formula Motion in a circular path with constant speed. Distance traveled by an object along a circular path. Arc length, As Rotation Angle, AO As The Radian Linear Velocity, v 2n radians = 1 revolution = 360° Rate of change of arc length with respect to As time. v = At Angular Velocity, w Rate of change of angle with respectto time. W = At Relationship between Angular Velocity and Linear Velocity Centripetal Acceleration, ac v = rw v2 a = a = rw? Centripetal Force, F. mv2 F = ; F = mrw? %3D Inertial Frame of reference A Frame of Reference moving with constant velocity. Non-Inertial Frame of reference An accelerating Frame of Reference. Fictitious Force An unrealforce due to a Non-Inertial Frame of Reference. Centrifugal Force An unrealforce due to circular motion. Coriolis Force A fictitious force observed froma Non - Inertial frame of Reference. Universal Law of Gravitation F = G r2
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