Aman walks on the edge of a circular disk with the radius 100 m towards the center. the man walk at constant speed of 1 m/sek. the disk rotates anticlockwise around its center so it goes one circle per hour. (hint: let the angular velocity be for example ω = 2π/klst =2π/3600sek and dont put the numbers into the calculations until in the end.)
(a) describe with parameterization the movement of the man seen from someone who is standing above the disk. let the center of the circle be in (0,0) and the man start the walk in the point (x0,y0) = (0,100m) at the time t = 0. the coordinate system does not rotate with the disk.
(b) calculate the speed vector of the man and the speed seen from someone who is watching from above the disk.