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 38 rev/s, and its tip has a tangential speed of 51 m/s. What is the length of the rotating string

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Kylie 3 weeks 2021-09-26T16:47:12+00:00 1 Answer 0

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    2021-09-26T16:48:33+00:00

    Answer:

    0.214 m.

    Step-by-step explanation:

    Given:

    w = 38 rev/s

    To rad/s,

    38 rev/s × 2pi rad/ 1 rev

    = 238.76 rad/s

    V = w × r

    51 = 238.76 × r

    r = 0.214 m

    Note, radius of the motion is the length of the string.

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