Is it true or wrong that a point on a wheel rotates from 12 o’clock to 3 o’clock, so its angular

displacement is 90 degrees?

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Displacement is vector quantity and defined as change in

position.A point on a wheel rotates from 12 o’clock to 3 o’clock, so its angular displacement is 90 degrees.You can understand it as let us have a unit circle in xy plane with centre at onigine.

Circle intersect axes at say A(1,0),B(0,1),C(-1,0), and D(0,-1).

Let move from B along circular arc in clockwise direction when reached at A ,angular position change by 90 degree because coordinate axes are mutually perpendicular.If Y axes we take initial line then X axis is perpendicular to y- axis. Thus angular displacement is 90 degree.

Sorry ,Please include this fig for explanation.

y

y

In second graph , it shows a angular dissplacement of 90 degree from Y-axis to X-axis iyf y axis considered as initial line and movement is clockwise direction.

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