What are the velocity and speed in Prob. 7 at the point (4, 2, -2) if the wheel rotates about the line y = x, z = 0 with ω = 10 sec^-1?

Data from Prob. 7

A wheel is rotating about the y-axis with angular speed ω = 20 sec^-1. The rotation appears clockwise if one looks from the origin in the positive y-direction. Find the velocity and speed at the point [8, 6, 0]. Make a sketch.