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Problem with a problem



How do you go about solving the following problem?
A thin rigid rod is rotating with a constant angular
acceleration about an axis that passes perpendicularly
through one of its ends. At one instant, the total
acceleration vector (centripetal plus tangential) at the
other end of the rod makes a 60.0 degree angle with
respect to the rod and has a magnitude of 15.0 m/s/s.
The rod has an angular speed of 2.00 rad/s at this
instant. What is the rod's length?
I am probably making this harder than what it really is.

Thanks
Harry