If a mint is on a turn table that is rotating at 34 rpm’s, and is 23 (cm) away from the center of the record, what is the tangential acceleration?

The tangential acceleration is zero

Explanation:

Tangential Acceleration

It's a measure of how fast is the tangential velocity changing when the object has rotational motion. It's perpendicular to the centripetal acceleration and equal to the product of the angular acceleration by the radius of rotation. In a uniform circular motion, the angular speed is constant, i.e. the angular acceleration is zero.

If the tangential acceleration was different from zero, the rotating object would change its angular and tangential velocities.

The turntable is rotating at a constant speed, so, regardless of the position of the mint, its tangential acceleration is zero