Tether Ball

The tether ball on a rope pictured above is going around in a horizontal circle as drawn. The length of the rope is $L$, the mass of the ball is $m$, and the rope makes a fixed angle $\theta$ with the pole. Find: a) the tension $T$ in the rope; b) the tangential speed $v_t$ of the ball; c) the angular frequency $\omega$ with which the ball goes around the pole. (20 points.)