Solving for Unknown Frequency: Tuning Fork Beats

[veronicak5678]

Homework Statement

To check the frequency of an unknown tuning fork, it is struck with one that vibrates at 256 Hz. While they vibrate together, beats with a period of 2 seconds are heard. What are the two possible frequencies for the unknown fork?

Homework Equations

f1-f2 = beats

1/T = f

The Attempt at a Solution

f1= 256Hz
Tb = 2 s
f = 1/2s = .5 Hz
f1-f2 = .5 Hz
f2 = 256.5 or 255.5

Is this correct? I think the wording threw me off.

 

[LowlyPion]

Looks OK.

 

[veronicak5678]

OK. Thanks for helping!