A string trimmer is a tool for cutting grass and weeds; it utilizes a length of nylon “string” that rotates about an axis perpendicular to o

Question

A string trimmer is a tool for cutting grass and weeds; it utilizes a length of nylon “string” that rotates about an axis perpendicular to one end of the string. The string rotates at an angular speed of 48 rev/s, and its tip has a tangential speed of 50 m/s. What is the length of the rotating string?

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Thành Công 3 months 2021-07-19T16:10:35+00:00 1 Answers 4 views 0

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    2021-07-19T16:12:05+00:00

    Answer:

    0.166 m or 16.6 cm

    Explanation:

    From the question,

    v = ωr……………………. Equation 1

    Where v = tangential speed of the string, ω = Angular speed of the string, r = Length of the rotating string.

    make r the subject of the equation

    r = v/ω………………….. Equation 2

    Given: v = 50 m/s, ω = 48 rev/s = 48(2π) rad/s = 48(2×3.14) rad/s = 301.44 rad/s.

    Substitute into equation 2

    r = 50/301.44

    r = 0.166 m or 16.6 cm

    Hence the length of the rotating string = 0.166 m or 16.6 cm

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