Have a question about bike problem

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SUMMARY

The problem involves calculating the angle through which each bicycle wheel rotates when a bicycle rolls down a circular path with a radius of 7.78 m and an angular displacement of 0.877 rad. The user initially multiplied the angular displacement by the radius of the path, yielding a value of 6.82306. They then divided this result by the radius of the bicycle wheel, 0.330 m, arriving at an answer of 20.7 radians, which was marked incorrect. The correct approach requires understanding the relationship between angular displacement and the radius of the wheel.

PREREQUISITES
  • Understanding of angular displacement and its units (radians)
  • Knowledge of the relationship between linear distance and angular displacement
  • Familiarity with basic geometry involving circles
  • Ability to perform calculations involving ratios and proportions
NEXT STEPS
  • Review the concept of angular displacement in rotational motion
  • Learn how to calculate the linear distance traveled by a point on a rotating object
  • Study the relationship between the radius of a circular path and the radius of wheels
  • Practice problems involving angular motion and wheel rotation
USEFUL FOR

Students studying physics, particularly in mechanics, and anyone interested in understanding rotational motion and its applications in real-world scenarios such as cycling.

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Homework Statement


A bicycle is rolling down a circular portion of a path; this portion of the path has a radius of 7.78 m. As the drawing illustrates, the angular displacement of the bicycle is 0.877 rad. What is the angle (in radians) through which each bicycle wheel (radius = 0.330 m) rotates?

Homework Equations


The Attempt at a Solution


Basically, what I did to solve the problem was that I multiplied the angular displacement
of the bicycle and the radius of the path. So it was 0.877 x 7.78 and I got 6.82306. To
this number, I divided 0.330, which is angle of bicycle wheel and I finally got 20.7, but
the website says that this is wrong. I tried to put 20.68 and it was still wrong. Can someone
tell me if I did something wrong to do this problem? The unit must be in radians. Thanks.
 
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You've not posted the drawing, but based on the text your answer seems right.
 

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