Frequency of oscillations of object

In summary, the frequency of oscillations refers to the number of complete cycles or vibrations an object goes through in a given time period and is measured in hertz (Hz). It is directly proportional to the square root of the stiffness of an object and inversely proportional to the square root of its mass. The frequency can be affected by factors such as the mass and stiffness of the object, amplitude of oscillations, and external forces or damping. It can be calculated using the formula f = 1/T, where f is the frequency and T is the period of oscillations. This concept is important in various scientific fields as it provides information about the behavior and characteristics of objects and systems, and can be used to predict and control motion and study
  • #1
desmond iking
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Homework Statement


what's the frequency of the oscillations of object?


Homework Equations





The Attempt at a Solution


since sin20t = sin wt ,
so , w=20=2pi f ,
my f is 20/2pi . the ans given is C .
which is wrong?
 

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  • #2
I'd say that you are correct and that the given answer is wrong.
 
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  • #3
desmond iking said:

Homework Statement


what's the frequency of the oscillations of object?


Homework Equations





The Attempt at a Solution


since sin20t = sin wt ,
so , w=20=2pi f ,
my f is 20/2pi . the ans given is C .
which is wrong?

Yours is correct. C is wrong.

ehild
 
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  • #5


I would like to clarify that the frequency of oscillations of an object is determined by its natural frequency, which is dependent on the object's physical properties such as mass, stiffness, and damping. The equation f=1/T, where T is the period of oscillation, can be used to calculate the frequency of an object's oscillations. However, this equation may not be applicable in all cases and other factors may also need to be considered. It is important to have a clear understanding of the physical system in order to accurately determine the frequency of oscillations. Additionally, it is important to check the units of the answer to ensure that they are consistent with the given units in the question. In this case, the units of frequency should be in Hertz (Hz) or cycles per second (cps).
 

FAQ: Frequency of oscillations of object

What is the frequency of oscillations?

The frequency of oscillations refers to the number of complete cycles or vibrations that an object goes through in a given time period. It is measured in hertz (Hz) and is the inverse of the period of the oscillations.

How is the frequency of oscillations related to the mass and stiffness of an object?

The frequency of oscillations is directly proportional to the square root of the stiffness of an object and inversely proportional to the square root of its mass. This means that as the stiffness of an object increases, its frequency of oscillations also increases, while an increase in mass results in a decrease in frequency.

What factors can affect the frequency of oscillations?

The frequency of oscillations can be affected by a variety of factors, including the mass and stiffness of the object, the amplitude of the oscillations, and any external forces or damping present in the system.

How can the frequency of oscillations be calculated?

The frequency of oscillations can be calculated using the formula f = 1/T, where f is the frequency and T is the period of the oscillations. The period can be measured by timing how long it takes for the object to complete one full cycle of oscillation.

Why is the frequency of oscillations important in different scientific fields?

The frequency of oscillations is important in various scientific fields, such as physics, engineering, and biology, as it provides valuable information about the behavior and characteristics of objects and systems. It can also be used to predict and control the motion of objects and study the properties of materials.

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