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A bicycle is rolling down a circular portion of a path; this portion of the path has a radius of 13.44 m. As the drawing illustrates, the angular displacement of the bicycle is 0.69 rad. What is the angle (in radians) through which each bicycle wheel (radius of wheel = 0.7 m) rotates?

Respuesta :

Answer:

[tex]\theta' = 13.25 rad[/tex]

Explanation:

Angular displacement of the the path of the bicycle is given as

[tex]\theta = 0.69 Rad[/tex]

also we know that radius of the path is given as

[tex]R = 13.44 m[/tex]

now we know that distance moved by the bicycle is given as

[tex]d = R\theta[/tex]

[tex]d = 13.44 \times 0.69[/tex]

[tex]d = 9.27 m[/tex]

now if the radius of the bicycle is given as

[tex]r = 0.7 m[/tex]

so the given distance is moved by the same wheel as

[tex]d = r\theta'[/tex]

[tex]9.27 = 0.7(\theta')[/tex]

[tex]\theta' = 13.25 rad[/tex]

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