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°? a. 3 rad, 6 radb. -1 rad, 1 radc. 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?
a. -1 rad, 1 radb. 3 rad, 6 rad c. 1 rad, 5 rad

(a) 1 rad, 5 rad

(b) -1 rad, 1 rad

Explanation:

180° = Π radians

Since pi has a value greater than 3,

The angular distance between the two points has to be greater than 3 radians

a) Only option C has an angular distance greater than 3rad (5-1= 4rad)

b) angular velocity = w = 2Πf

The lowest angular distance is -1rad, 1rad

1-(-1) rad = 2rad

Since the change in all of their positions happened in 1 second, option A has the lowest angular velocity for rotating the least in the same time.

e

explanation:

there is no change in the electric potential energy as it is in rest on both conditions.

  distance on the y-axis and time on the x-axis.

explanation:

the instantaneous velocity = change in position/time taken

the slope of the graph should give instantaneous velocity.

  slope of a graph = change in value of y -axis / change in values of x -axis

  comparing both the equations

    change in value of y -axis = change in position

  change in values of x -axis = time taken

so position values should be on the y axis and time values should be on the x axis.

distance on the y-axis and time on the x-axis.