At t=0, a wheel rotating about a fixed axis at a constant angularacceleration ha

Question

At t=0, a wheel rotating about a fixed axis at a constant angularacceleration has an angular velocity of 3.3 rad/s. After 2.7 slater it has turned through 5.0 complete revolutions. What is theangular acceleration of this wheel?
please show work
a. 6.2 rad/s^2 b. 8.6 rad/s^2 c. 4.0 rad/s^2 d. 2.3 rad/s^2 e. 1.2 rad/s^2
At t=0, a wheel rotating about a fixed axis at a constant angularacceleration has an angular velocity of 3.3 rad/s. After 2.7 slater it has turned through 5.0 complete revolutions. What is theangular acceleration of this wheel?
please show work
a. 6.2 rad/s^2 b. 8.6 rad/s^2 c. 4.0 rad/s^2 d. 2.3 rad/s^2 e. 1.2 rad/s^2

please show work
a. 6.2 rad/s^2 b. 8.6 rad/s^2 c. 4.0 rad/s^2 d. 2.3 rad/s^2 e. 1.2 rad/s^2

Explanation / Answer

           Given that the initial angular velocity is = 3.3 rad/s            time taken is t = 2.7 s             total angular distance is = 5.0 rev = 5.0*2 rad = 31.4rad ----------------------------------------------------------------------------------------------         From the equationof motion                                   = *t + (1/2) * t2                       31.4 rad = (3.3 rad/s)*2.7s +(1/2)*(2.7s)2                                               then we get angular accelaration                                = ---------- rad/s2

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