Anonymous
Anonymous asked in Science & MathematicsPhysics · 1 month ago

String and Pulley?

A 8 m long string is wrapped around a pulley that is free to rotate about a fixed axle. The pulley has a radius of 6.4 cm and is initially at rest. The thickness and masss of the string are negligible. Someone pulls on the free end of the string with a 20N force, thereby unwinding it and giving the pulley an acceleration of 17 rad/sec2.

1)Through what angle has the pulley rotated when the string is completely unwound?

Δθ =

 rad

2)What is final angular velocity of the pulley

ω =

 rad/sec 

1 Answer

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  • NCS
    Lv 7
    1 month ago
    Favourite answer

    1) arc length s = r*Θ

    8 m = 0.064m * Θ

    Θ = 125 radians

    2) ω² = ω₀² + 2αΘ = 0² + 2 * 17rad/s² * 125rad = 4250 rad/s²

    ω = 65 rad/s

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