Time Derivative of Force: What is the Missing Variable?

In summary, the time derivative of force does not have a specific name and is not often useful, so it has not been given a name. It also does not have any practical uses.
  • #1
Isaac0427
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So I know that momentum is the time derivative of force, but what is the time derivative of force? That is, p=mv, f=ma, ?=mj (if j is jerk/jolt). Thanks!
 
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  • #2
It doesn't have a name. It isn't often useful, so it hasn't been worth naming.
 
  • #3
DaleSpam said:
It doesn't have a name. It isn't often useful, so it hasn't been worth naming.
Does it have any practical uses?
 
  • #4
Isaac0427 said:
momentum is the time derivative of force
I'm sure you meant to say "force is the time derivative of momentum"!
 
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  • #5
DrGreg said:
I'm sure you meant to say "force is the time derivative of momentum"!
Yes. It was a mistake.
 
  • #6
Isaac0427 said:
Does it have any practical uses?
Not that I am aware of.
 

What is the time derivative of force?

The time derivative of force, also known as the rate of change of force, measures the change in force over time. It is denoted by the symbol F'.

How is the time derivative of force calculated?

The time derivative of force can be calculated by taking the derivative of the force function with respect to time. This can be represented by the equation F' = dF/dt, where dF is the change in force and dt is the change in time.

Why is the time derivative of force important?

The time derivative of force is important because it helps us understand how force changes over time. This is especially useful in fields such as physics and engineering, where it can be used to predict and analyze the motion of objects.

What is the relationship between time derivative of force and acceleration?

The time derivative of force is directly related to acceleration. In fact, it is equal to mass times acceleration (F' = ma). This means that the time derivative of force can be used to calculate the acceleration of an object.

Can the time derivative of force be negative?

Yes, the time derivative of force can be negative. This means that the force is decreasing over time. In other words, the object is experiencing a decrease in force and may be slowing down or changing direction.

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