Question:

Rotational kinetic energy question

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A typical ten-pound car wheel has a moment of inertia of about .35 kg m^2 . The wheel rotates about the axle at a constant angular speed making 50.0 full revolutions in a time interval of 5.00 seconds.

What is the rotational kinetic energy K of the rotating wheel? In joules

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  1. Rotational KE = 0.5 * I ω^2

    ω = 50 / 5 * 2π

    ω = 20π rad / s

    KE = 0.5 * 0.35 * (20pi)^2

    KE = 691 J

    BRUZER, I did, I really did, bugger. Edited it in now, but points to you for sure.


  2. ke (rot) = .5 I w^2

    I=.35kgm^2

    w=50/5rev/s*2 PI rad/rev=62.8 rad/s

    w^2=3947.8(rad/s)^2

    ke=.5*(.35kg m^.2)*3947.8 (rads/s)^2=690.9kg m^2/s^2=690.9J

    Looks like the first guy forgot to square the omega.

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