a wheel with radius of 0.5 and mass of 10kg is spinning . A 10N force is applied at edge of the wheel . what is the rotational acceleration?

Update:

a solid metal wheel with a radius of 0.5 and a mass of 10kg is spinning clockwise. A 10N force is applied to the edge of the wheel in the same direction as the motion. what is the rotational acceleration

Update 2:

0.5 meter

2 Answers

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  • Anonymous
    4 months ago

    0.5 feet, cm, inches or something else???

  • 4 months ago

    torque is 10 N x 0.5 somethings. which is 5 N-somethings.

    to complete this we need the shape of the wheel, and the units for the radius. Then compute it's moment of inertia. as shown below.

    then α = τ/I

    angular acceleration in rad/s²

      α = τ/I for constant α

         I = moment of inertia in kg•m²

         τ = torque in N•m

    I is moment of inertia in kg•m²

    I = cMR²

        M is mass (kg), R is radius (meters)

        c = 1 for a ring or hollow cylinder

        c = 2/5 solid sphere around a diameter

        c = 7/5 solid sphere around a tangent

        c = ⅔ hollow sphere around a diameter

        c = ½ solid cylinder or disk around its center

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