How Do You Calculate the Total Acceleration of a Point on a Spinning Disk?

[Jimmy25]

Homework Statement

A spinning disk has an angular velocity (V_a) of 2 rad/s and an angular acceleration (A_a) of 3 rad/s². A point on the disk (x) is 1 m from the center of the disk. What is the magnitude of this point x's acceleration in m/s²?

Is it the sum of the the tangential acceleration plus the centripetal acceleration?

The Attempt at a Solution

Using the angular acceleration and point x's radius I found it's acceleration to be 3 m/s^2

Then, using A_c = V² / r, I found the centripetal acceleration to be 4 m/s².

Now that I have these values do I add their scalar values or their vector values?

 

[rl.bhat]

The two vectors are not in the same direction. So ...?