A piano tuner sounds two strings simultaneously. One has been previously tuned to vibrate at 287.0 Hz. The tuner hears 2.0 beats per second. The tuner increases the tension on the as-yet untuned string, and now when they are played together the beat frequency is 1.1 s?1.
(a) What was the original frequency of the untuned string?
___________ Hz
(b) By what percentage did the tuner increase the tension on that string?
____________%