00:02
So the point p is displaced vertically by two times the radius r, which is 0 .450 meters, which i've converted from centimeters.
00:13
And r is that radius of the wheel.
00:17
So it is displaced horizontally by half of the circumference of the wheel, or pi r, right? since the horizontal displacement component is 1 .414 meters and the vertical displacement component is 0 .9 -00 meters, if the x -axis is horizontal and the y -axis is vertical, the vector displacement in meters is going to be that 1 .414 in the i -hat plus 0 .902 in the j -hat.
00:48
But here the displacement magnitude, we can use the vertical and horizontal.
00:54
Components here to find that displacement magnitude we're going to call it r it's going to be equal to the square root using pythagrin theorem of the two sides one being pi r squared where where pi r is the displacement horizontally because that's half the circumference of the wheel so that's where we get that value from and then plus the other component that makes up the other for the vector is two times the radius.
01:42
And of course that is squared.
01:45
So you plug in that value for r and this comes out to equal 1 .68 meters...