A car tire has a diameter of 66 cm. The tire rolls without sliding along a road. Let x be the distance (in cm) the car travels as the tire rotates θ radians. Assume θ to be positive and consider only its magnitude. (So, its position on the circle is not relevant.) Assume also that the distance x is positive.                                                                          1. Find θ as a function x. Use exact values in the formula, not decimal approximations                                              θ(x) =                      2. If the car rolls 40 cm, what is the angle that the tire rotates (in degrees)? Round to the nearest tenth of a degree?                                                                                                                        θ =  °

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.1: Angles
Problem 38E
icon
Related questions
Question

A car tire has a diameter of 66 cm. The tire rolls without sliding along a road. Let x be the distance (in cm) the car travels as the tire rotates θ radians. Assume θ to be positive and consider only its magnitude. (So, its position on the circle is not relevant.) Assume also that the distance x is positive.                                                                         

1. Find θ as a function x. Use exact values in the formula, not decimal approximations                                             

θ(x) =                     

2. If the car rolls 40 cm, what is the angle that the tire rotates (in degrees)? Round to the nearest tenth of a degree?                                                                                                                       

θ =  °                                       

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage