Can any one help me here??

Question

A circular diskwiith centre aar p(0,2) has radius of 3 the disk rotates clockwise at 6Pie radians per second .Point Q on the disk has coordinates (3,2) when t=0

A) Write Parametric equations modelling the motion of point q for any time t . Locate point Q when t=.1

Answer 1

The starting point of Q is the edge of the disk where the radius is parallel to the x axis.

The disk spins so that an angle of a radial line to Q opens downward at a rate of 6 pi/sec
Let's call the angle a

The x value of Q will be located at
x= 3*cos(a)
and the y value of Q will be located at
y=2-3*sin(a)
It's translated up by 2 and set negative since the motion is clockwise.

Now, a = 6*pi*t
so x=3*cos(6*pi*t)
and y=2-3*sin(6*pi8*t)

a 1.884
t 0.1
x -0.924324094
y -0.854054129



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