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Rotational dynamics/angular acceleration turntable experiment

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The claim that the acceleration of the falling mass is the same as the tangential acceleration of a point at the lever arm distance from the axis is : a = (r)(alpha), where a is the acceleration of the falling mass, r is the lever arm distance, and alpha is the angular acceleration of the turntable. Why is this claim valid? Use physical reasoning, not equations, to answer this question.

In the lab, we investigated rotational dynamics using a turntable with a string wrapped around it. The string looped over a pulley and attached to a hanging mass. We adjusted the string so that it was at a 90 degree angle with the turntable. We placed 6 different masses on the string, let them drop from a specific height, and recorded how long it took each mass to reach the ground.)

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The solution presents a good explanation of the issues raised in the problem.

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This claim actually follows from the definition of 'radian' in Physics.

In a circle, if r is the radius of the circle, and s is the length of the arc which subtends an angle of theta in ...

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