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
Messages
28
Reaction score
0
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.
 
Physics news on Phys.org
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.
 

Thread 'Rolling without slipping on a curved surface'

Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
View full post »

Thread 'Struggling to understand the concept of this question (ice cube in water optics question)'

TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
View full post »
Thread 'A bead-mass oscillatory system problem'

Thread 'A bead-mass oscillatory system problem'

I can't figure out how to find the velocity of the particle at 37 degrees. Basically the bead moves with velocity towards right let's call it v1. The particle moves with some velocity v2. In frame of the bead, the particle is performing circular motion. So v of particle wrt bead would be perpendicular to the string. But how would I find the velocity of particle in ground frame? I tried using vectors to figure it out and the angle is coming out to be extremely long. One equation is by work...
View full post »

Similar threads

What is the period of the loaded tuning fork?
Replies
4
Views
4K
What Is the Frequency of Tuning Fork B When Tuned with Wax If A Is 212 Hz?
Replies
22
Views
5K
Confusion about frequency and resonance of tuning forks?
Replies
1
Views
4K
I Help Designing a Resonance Box for Tuning Forks
Replies
1
Views
4K
What is the frequency of unknown tuning fork
Replies
1
Views
4K
How Do You Calculate the Frequency of a Tuning Fork Using Water Resonance?
Replies
10
Views
4K
What is the frequency of the tuning fork?
Replies
1
Views
7K
What is the frequency of the tuning fork?
Replies
9
Views
36K
Tuning Forks and Frequency: Finding Length
Replies
4
Views
30K
How Do You Calculate the Frequency of a Tuning Fork Using a Resonance Tube?
Replies
2
Views
9K

Hot Threads

Recent Insights

Back
Top