Suppose the wheel makes one complete revolution in 2 seconds. For each of the fo

Question

Suppose the wheel makes one complete revolution in 2 seconds. For each of the following points, find the change in angle (Delta Theta) of the positions vector during one second. (i.e., Find the angle between the initial and final position vectors) point A point B point C Find the rate of change in the angle for any point on the wheel. The rate you calculate above is called the angular speed of the wheel, or equivalently, the magnitude of the angular velocity of the wheel. The angular velocity is defined to be a vector that points along the axis of rotation and is conventionally denoted by the symbol (the Greek, letter omega), To determine the directions of the angular velocity vector, we imagine an observes on the axis of rotations who is looking toward the object. If the observer sees the object rotating countercolockwise, the angular velocity vector is directed toward the observer; if the observer sees it rotation clockwise, the angular velocity vectors is directed away from the observer. Would tow observers on either side of a rotating object agree on the direction of the angular velocity vector? Explain. Would tow observers who use different points on an object to determine the angular velocity agree on the magnitude of the angular velocity vector? Explain. The diagrams at right show top and side views of the spinning wheel in part A. On each diagram, draw a vector to represent the angular velocity of the wheel. (Use the convention that indicates a vector pointing out of the page and indicated a vector pointing into the page.)

Explanation / Answer

from observation of fig

in point A: the initial angle is 0 finial angle is also 0

in point B:the initial angle is 0 finial angle is 90

in point C:the initial angle is 90 finial angle is 180

(D) ans :basing on fig we observe the direction is negative axis to positive axis in clock wise direction

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