Ablu-ray disc rotates counterclockwise and speeds up at a constant rate. how does the tangential acceleration of point p compare to the tangential acceleration of point q?

The figure of the problem is missing.

However, we can solve it this way. First of all, every point of the disk has the same angular acceleration, which is the rate of variation of the angular velocity in time. In fact, the disk rotates coherently, therefore all the points cover the same angle during the same time interval.

Then, the tangential acceleration of a generic point on the disk is related to the angular acceleration by the following relation:

where r is the distance of the point from the center of the disk.

Therefore, if we call  the distance of point P from the center and  the distance of point Q from the center, we can find the ratio of the tangential accelerations between the two points:


So, the larger is the distance of the point from the center, the larger is the tangential acceleration.

If one were to put the y value into the equation, they could find out what x is for a certain value of y.  putting in the value of y (1), we get the equation: 1=4x-12=4xx=0.5this means that the value of x when why is 1 is x=0.5