I am going through a practice question in which a disc of radius 3.5cm is rotating, it makes one revolution every second. I have to work out the tangential speed, tangential acceleration and angular acceleration. I can work out the tangential speed but am struggling with the accelerations. Would the tangential acceleration just be the tangential speed/time and angular acceleration be centripetal acceleration? Thanks

No the angular acceleration is not the centripetal acceleration.
Acceleration of any kind is rate of change of something.
Tangential acceleration is rate of change of tangential velocity.
Angular acceleration is rate of change of angular velocity.
So if your rotating body is rotating at constant angular velocity, it's angular acceleration is zero.
Since the tangential velocity = angular velocity x radius x 2pi, constant angular velocity makes for constant tangential velocity.
Now acceleration, like velocity is a vector quantity, which means it can be resolved into components in mutually perpendicular directions.
In the case of rotation we consider radial and tangential directions as the mutually perpendicular directions.
When a body is rotating at constant angular velocity, with no external forces acting;
The radial velocity is zero
The radial acceleration is called the centripetal acceleration and is non zero
The tangential velocity is (2pi)(R)(omega) as already noted
The tangential acceleration is zero
Are you happy so far?