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an electric ceiling fan with blades 0.750 m in diameter is rotating about a fixed axis with an initial angular velocity of 1.57 rad/s. the angular acceleration is 5.65 rad/s².

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onyebuchinnaji

The final angular velocity of the fan at the given time is 2.66 rad/s.

"Your question is not complete, it seems to be missing the following information";

Compute the fan's angular velocity magnitude after time 0.192 s has passed.

The given parameters;

  • diameter of the blade, d = 0.75 m
  • initial angular velocity of the blade, ω₀ = 1.57 rad/s
  • angular acceleration of the blade, α = 5.65 rad/s²

The final angular velocity of the fan at the given time is calculated by applying the second kinematic equation;

[tex]\omega_ f = \omega _0 + \alpha t\\\\\omega _f = (1.57) + (0.192\times 5.65)\\\\\omega _f = 2.66 \ rad/s[/tex]

Thus, the final angular velocity of the fan at the given time is 2.66 rad/s.

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