Calculating damping constant

In summary, a damping constant is a measure of an object's energy loss over time while vibrating, represented by the symbol "b" and calculated using the equation b = c/m. It affects the behavior of the object and can be influenced by factors such as material properties and external forces. The damping constant cannot be negative as it represents the dissipated energy and must always be a positive value.
  • #1
sri sayye
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how can we find damping constant from graph of amplitude versus time?
 
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sri sayye said:
how can we find damping constant from graph of amplitude versus time?
Hi sri sayye! http://img96.imageshack.us/img96/5725/red5e5etimes5e5e45e5e25.gif [Broken]

You'll need to look for the formula in your textbook or using Google, but it involves the ratio of successive peaks in that oscillatory response to a step input.

You might even find it in a previous thread on this topic at the foot ⇓ of this page
 
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What is a damping constant?

A damping constant is a measure of how quickly a vibrating object loses its energy over time. It is represented by the symbol "b" and is used in equations to calculate the damping force on an object.

How do you calculate the damping constant?

The damping constant can be calculated using the equation b = c/m, where c is the damping coefficient and m is the mass of the object. The damping coefficient can be determined experimentally by measuring the velocity of the object at different points during its vibration.

What is the significance of the damping constant?

The damping constant is important because it affects the behavior of a vibrating object. A higher damping constant indicates that the object will lose energy more quickly and therefore have a shorter duration of vibration.

What factors can affect the value of the damping constant?

The value of the damping constant can be influenced by factors such as the material properties of the object, the shape and size of the object, and the presence of any external forces or sources of friction.

Can the damping constant ever be negative?

No, the damping constant cannot be negative. It is a physical constant that represents the amount of energy dissipated by an object, so it must always be a positive value.

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