I'm swinging a pocket watch on its chain in a circular fashion. Because I have a crappy watch, the chain breaks exactly when the watch is traveling...

I'm swinging a pocket watch on its chain in a circular fashion. Because I have a crappy watch, the chain breaks exactly when the watch is traveling directly upward. If the chain, before breaking was 23.6 centimeters long, and I was swinging it a constant rate of 4 revolutions per second, how high in the air (above the ground) will the watch go? (My hand was .8 meters above the ground when the chain broke)