A mass M=2kg moves at a constant speed constrained by a string to move in a circle with radius .5m on a frictionless table. The tension in the string is 5N.
What is the tangential speed?
What is the angular velocity?
What is the angular acceleration?
How much work has the rope done when the mass has gone through angle [itex]\pi[/itex]?
a_c = v^2/r
The Attempt at a Solution
I calculated that the tangential speed is equal to sqrt(1.25)m/s.
I also calculated that the angular velocity is (.5)(sqrt(1.25) m/s counterclockwise from the positive x-axis.
But how do I do the angular acceleration?
Is the force equal to zero, because the force is to the center and the direction is tangential?