Calculating tangential acceleration of rotating object

[APphysicsSenior]

Homework Statement

An ant clings to the outside edge of the tire of an exercise bicycle. When you start pedaling, the an't speed increases from ) to 10 m/s in 2.6 s. The wheel's rotational acceleration is 13 rad/s^s.

Determine the average tangential acceleration of the tire.

Homework Equations

v=ω*r
a=∝*r
v=Δx/Δt
a=Δv/Δt
ω=ΔΘ/Δt
∝=Δω/Δt

The Attempt at a Solution

I tried to manipulate the formulas that involved ∝, v and t in order to solve for a, but I couldn't get the radius to cancel out, or I kept ending up with ω in the equation. I need help figuring out how to convert rotational acceleration (∝) to linear acceleration (a) WITHOUT the radius.

 

[kuruman]

Maybe you can find the radius from what is already given. Can you find the linear acceleration of the ant from what is given?

 

[haruspex]

∝

That is the "is proportional to" symbol. What you mean is α (alpha).

tried to manipulate the formulas

Please post your working. Check whether you used all the given information. If you did not, try to find an equation that involves the information you did not use.