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A 700g block on a 130.0 cm long string (radius) swings in a circle on a horizontal frictionless surface. If the string will break when the tension exceeds 36.0 N, at what maximum rpm can the block rotate?

  • Physics -

    It will break when
    M*R*w^2 = 36.0 N

    Use M = 0.70 kg
    R = 1.30 m
    and solve for the angular velocity w, in radians per second.

    Then convert w in rad/s to revolutions per minute

    1 rad/s = 60/(2 pi) = 9.55 rpm

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