1)A stretched wire vibrates in its first normal mode at a frequency of 383 Hz. What would be the fundamental frequency if the wire were one fourth as long, its diameter were quadrupled, and its tension were increased four-fold?
2)A 0.0125 kg, 1.88 m long wire is fixed at both ends and vibrates in its simplest mode under a tension of 218 N. When a tuning fork is placed near the wire, a beat frequency of 5.10 Hz is heard. The beat frequency increase as the the tension of the wire decreases; what is the frequency of the tuning fork?
For question 1:
f = 1/2L ( sqrt( T/mu)
The Attempt at a Solution
I really dont know how to start in these two questions, given with a diameter in part 1, but I know the formula to use. And I'm not sure what equation Im going to use for question 2.