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4. Consider the figure below. A rope is used to apply a constant 2.50 N force to rotate a 10.0 kg wheel. Its radius is 25.0 cm while its radius of gyration is 15.0 cm. (a) Find the angular acceleration of the wheel. (b) Use this angular acceleration to determine how many revolutions the wheel turns through before it reaches an angular speed of 30.0 rpm.
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Mass of the wheel m 10 Kg Radius of gyrati on K-15 cm-0.15 m Moment of inertia of wheel I-mK2 -(15)0.225 Kgm2 Torque on the wheel τ = Fr = (2.50 N) (0.25 m) = 0.625 Nm (a) Aguiar acceleration α τ0625 I 0.225 2.777 rad/s - Initial angular speed a =0 Final angular speed a-2 From kinematic relati on, 30 ( 2-0-2 (2777) θ θ-1.776 rad Number of revolutinos n 0.2827

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