In a mathematical universe and in the time t = to, a disk starts rotating with...

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In a mathematical universe and in the time t = to, a disk starts rotating with a constant angular velocity of Wdisk =+ b + ck, over which there is a randomly-located particle P with the position vector of p = x + y + zk. We know that under such a motion, the velocity vector of the particle P can be found as Vp|disk = Wdisk 7p. This sole rotating condition continues until the time t = t, when a harmonic wind field with the velocity vector of wind = a cos zi+ b cos x)+c cos y starts to blow over the rotating disk. The particle remains under the influence of the rotating disk and the blowing breeze with the velocity vector of Vp|disk,wind until t = t2. At this time, a tornado with angular velocity of Wtornoado = x + by + czk emerges over the rotating disk and becomes the third component for determining the velocity of the randomly-located particle, i.e. Vp|disk,wind,tornado. a. What is the curl of Vp/disk at the time to In a mathematical universe and in the time t = to, a disk starts rotating with a constant angular velocity of Wdisk =+ b + ck, over which there is a randomly-located particle P with the position vector of p = x + y + zk. We know that under such a motion, the velocity vector of the particle P can be found as Vp|disk = Wdisk 7p. This sole rotating condition continues until the time t = t, when a harmonic wind field with the velocity vector of wind = a cos zi+ b cos x)+c cos y starts to blow over the rotating disk. The particle remains under the influence of the rotating disk and the blowing breeze with the velocity vector of Vp|disk,wind until t = t2. At this time, a tornado with angular velocity of Wtornoado = x + by + czk emerges over the rotating disk and becomes the third component for determining the velocity of the randomly-located particle, i.e. Vp|disk,wind,tornado. a. What is the curl of Vp/disk at the time to