Conceptual: bug masses on a rotating wheel

[getty102]

Homework Statement

Two objects of equal mass are on a turning wheel. Mass 1 is located at the rim of the wheel while mass 2 is located halfway between the rim and the axis of rotation. The wheel is rotating with a non-zero angular acceleration. For each of the following statements select the correct option to complete the statement.

Each of these statements have variables that are underlined

1. For a given time, mass 2 travels a distance that is less than the distance traveled by mass
2. The magnitude of the total acceleration of mass 1 is greater than the total acceleration of mass.
3. For a given time, the angle covered by mass 2 is equal to the angle covered by mass 1.
4. For a given time, the angle covered by mass 2 is equal to the angle covered by mass 1.
5. The angular acceleration of mass 2 is equal to the angular acceleration of mass 1
6. The centripetal (radial) acceleration of mass 2 is less than the centripetal acceleration of mass 1.
7. The tangential acceleration of mass 2 is equal to the tangential acceleration of mass 1.

Homework Equations

a_c=v²/r
T=(2\pi)/ω

The Attempt at a Solution

I tried using the relevant equations to prove these statements but it didn't work. I'm not sure which statement is false, or if there's more than 1 wrong statement.

 

[member 553083]

Any help is appreciated! 1. For a given time, mass 2 travels a distance that is less than the distance traveled by mass 1. - True 2. The magnitude of the total acceleration of mass 1 is greater than the total acceleration of mass 2. - False 3. For a given time, the angle covered by mass 2 is equal to the angle covered by mass 1. - True 4. For a given time, the angular velocity of mass 2 is equal to the angular velocity of mass 1. - False 5. The angular acceleration of mass 2 is equal to the angular acceleration of mass 1. - False 6. The centripetal (radial) acceleration of mass 2 is less than the centripetal acceleration of mass 1. - True 7. The tangential acceleration of mass 2 is equal to the tangential acceleration of mass 1. - False