What does F0 represent?

  • Thread starter emily081715
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In summary, the equation for the force at any point in time is given by F(t)=F0e(−t/τ), where τ is the time constant.
  • #1
emily081715
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Homework Statement



A burst of compressed air pushes a pellet out of a blowpipe. The force exerted by the air on the pellet is given by F(t)=F0e(−t/τ), where τ is called a time constant because it has units of time.

What does F0 represent?

Homework Equations


F0 represents the maximum force.
F0 represents the minimum force.
F0 represents the average force.
F0 represents the force at time t = 0.

The Attempt at a Solution


i can check as many that apply, i originally though it was the force at t=0 because that would mean it's the inital values. that wasn't right. can someone help
 
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  • #2
emily081715 said:
i originally though it was the force at t=0

It is equal to the force at t=0 but there is a (very slightly) better answer.

What happens to the term e-t/τ as t increases?
 
  • #3
CWatters said:
It is equal to the force at t=0 but there is a (very slightly) better answer.

What happens to the term e-t/τ as t increases?
would the better answer be that it's the minimum value
 
  • #4
emily081715 said:
would the better answer be that it's the minimum value
because that's not the only answer if it's correct. I'm on my last attempt for the question and need to figure this out
 
  • #5
It's not the minimum.
 
  • #6
As t increases so e-t/τ decreases. So at t=0 the value of F(t) is a maximum.
 
  • #7
I just noticed this bit..

emily081715 said:
i can check as many that apply

Ok so there are two answers that apply.
 
  • #8
CWatters said:
As t increases so e-t/τ decreases. So at t=0 the value of F(t) is a maximum.
yes i need to check all that apply. so Fo is a maximum value and Fo is t=0 ?
 
  • #9
emily081715 said:
Fo is a maximum value and Fo is t=0 ?
Yes.
 
  • #10
cnh1995 said:
Yes.
Are those the only two?
 
  • #11
emily081715 said:
Are those the only two?
Yes.
 
  • #12
cnh1995 said:
Yes.
Thank you
 

What does F0 represent?

F0 represents the fundamental frequency of a sound wave, which is the lowest frequency and the perceived pitch of a sound.

How is F0 measured?

F0 is measured in Hertz (Hz), which is the unit of frequency. It can be measured using a sound frequency analyzer or by counting the number of sound wave cycles per second.

What factors affect the value of F0?

The value of F0 can be affected by several factors, such as the length, tension, and mass of the vibrating object producing the sound, as well as the surrounding air temperature and pressure.

What is the difference between F0 and pitch?

F0 is the physical representation of the fundamental frequency of a sound wave, while pitch is the perceptual interpretation of that frequency. Pitch can vary based on individual perception, while F0 remains constant.

Why is F0 important in music?

In music, F0 plays a crucial role in determining the perceived pitch of a note. It also helps to create the harmonic structure of a musical piece and can affect the emotional response of the listener.

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