Arigid object is rotating in a counterclockwise sense around a fixed axis. each of the following pairs of quantities represents an initial angular position and a final angular position of the rigid object.
(a) which of the sets can only occur if the rigid object rotates through more than 180°?

1) 3 rad, 6 rad
2) -1 rad, 1 rad
3) 1 rad, 5 rad

(b) suppose the change in angular position for each of these pairs of values occurs in 1 s. which value represents the lowest average angular speed?
1) -1 rad, 1 rad
2) 3 rad, 6 rad
3) 1 rad, 5 rad

Part a)

3) 1 rad, 5 rad

Part b)

1) - 1 rad, 1 rad

Explanation:

Part a)

As we know that angular displacement is of 180 degree

so we will have

so we can say that the difference of two angular positions must be more than 3.14

so correct answer will be

3) 1 rad, 5 rad

Part b)

angular speed is defined as the ratio of angular displacement and time interval

so here we can say that for lowest angular speed the angular displacement must be smallest

so we have

so the least possible value for angular displacement here is

1) - 1 rad, 1 rad

the answer is a)

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