A student whirls a rubber stopper in a horizontal circle using a 0.75m long string. She wishes to keep the tension in the string at 45N while making 2.0 complete revolutions every second.
a. (a) Calculate the linear speed of the stopper corresponding to this rate of revolution.
b. (b) Using the value obtained in part (a), determine the maximum mass of the stopper that can be whirled under these conditions without exceeding the given tension. Present each calculation step explicitly.