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21 April, 16:26

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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  1. 21 April, 18:28
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    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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