A toy racecar races along a circular race track that has a radius of 32 meters. The racecar starts at the 3-o'clock position of the track and travels in the CCW direction. Suppose the racecar has traveled 51 meters along the race track. How many radians has the racecar swept out?  radians    What is the racecar's distance to the right of the center of the race track (in meters)?  meters    What is the racecar's distance above the center of the race track (in meters)?  meters

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter3: Vectors
Section: Chapter Questions
Problem 20PQ
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A toy racecar races along a circular race track that has a radius of 32 meters. The racecar starts at the 3-o'clock position of the track and travels in the CCW direction.

  1. Suppose the racecar has traveled 51 meters along the race track.

    1. How many radians has the racecar swept out?

       radians   

    2. What is the racecar's distance to the right of the center of the race track (in meters)?

       meters   

    3. What is the racecar's distance above the center of the race track (in meters)?

       meters   

  2. Let dd represent the racecar's varying distance traveled (in meters) along the circular race track.

    1. Write an expression (in terms of d) to represent the racecar's distance to the right of the center of the race track (in meters).

         

    2. Write an expression (in terms of d) to represent the racecar's distance above the center of the race track (in meters).

         

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