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

[jimbo71]

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 becuase 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

 

[Carid]

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.