How Does the Position on a Turntable Affect a Mass's Acceleration?

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SUMMARY

The discussion centers on the relationship between the position of a mass on a rotating turntable and its acceleration. The correct answer to the posed question is option A: the acceleration of the mass is greater the farther it is from the center. This conclusion is supported by the equations for radial acceleration (arad = w^2 * r) and tangential acceleration (atan = alpha * r), which both indicate that acceleration increases with radius. The analogy of childhood experiences on roundabouts effectively illustrates this principle.

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Homework Statement


A small mass is placed on a record turntable that is rotating at 45 rpm. The acceleration of the mass is
a. greater the farther the mass is from the center
b. greater the closer the mass is to the center
c. independent (in magnitude) of the position of the mass on the turntable
d. directed perpendicular to the line joining the mass and the center of rotation
e. zero



Homework Equations


arad= w^2*r
atan= alpha*r
a= (atan^2+arad^2)^1/2


The Attempt at a Solution


I think the answer is solution A because both atan and arad are dependent on the radius of the location of the mass. I am not completely sure this is correct because it seems too easy
 
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When I was a child we had roundabouts in public parks. If you sat near the centre it was easy to hang on, but if you moved to the outside you needed all your strength to stay aboard.
 

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