What is the frequency of a tuning fork oscillating at 2770 rad/s?

AI Thread Summary
The tuning fork oscillates at a frequency of approximately 441.4 Hz, calculated from its angular frequency of 2770 rad/s using the formula f = ω/(2π). The increase in loudness when held above a glass bottle full of milk may be attributed to resonance, where the fork's frequency matches the natural frequency of the bottle, amplifying the sound. This phenomenon is specific to this tuning fork among the set of ten due to its unique frequency characteristics. Understanding simple harmonic motion and resonance is key to solving such problems effectively.
Timiop2008
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A tuning fork oscillates with simple harmonic motion described the equation:

x = 0.00150cos(2770t) (where t is seconds)

a) calculate the frequency in Hz of the tuning fork

b) Suggest why only this tuning fork (taken from a set of 10 forks) gets louder when held above a glass bottle full of milk.

I don't know how to go about this question. Any help greatly appreciated.
 
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Timiop2008 said:
A tuning fork oscillates with simple harmonic motion described the equation:

x = 0.00150cos(2770t) (where t is seconds)

a) calculate the frequency in Hz of the tuning fork

b) Suggest why only this tuning fork (taken from a set of 10 forks) gets louder when held above a glass bottle full of milk.

I don't know how to go about this question. Any help greatly appreciated.
A look at http://en.wikipedia.org/wiki/Simple_harmonic_motion, especially at the first formula encountered, will give you the straightforward answer.
 

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