Obtain the time constant from a transfer function

Click For Summary
To calculate the time constant from the transfer function G(s) = s/(6.25+s), one must identify the system's poles, which are derived from the denominator. The time constant is typically associated with the pole at s = -6.25, giving a time constant of 6.25 seconds. For sketching a Bode plot, it is appropriate to express the transfer function as s * (1/(6.25+s)), allowing for easier analysis of the system's frequency response. The discussion also hints at the possibility of this being an academic exercise. Understanding these concepts is crucial for effective system analysis and design.
rusty009
Messages
68
Reaction score
0
Hey, say I have a transfer function,

G(s) = s/(6.25+s)

How would I calculate the time constant for this transfer function? Also, if I wanted to sketch a bode plot for this transfer function, would I split it up into s* 1/(6.25+s) ?

Thanks in advance.
 
Engineering news on Phys.org
rusty009 said:
Hey, say I have a transfer function,

G(s) = s/(6.25+s)

How would I calculate the time constant for this transfer function? Also, if I wanted to sketch a bode plot for this transfer function, would I split it up into s* 1/(6.25+s) ?

Thanks in advance.

Is this for school?
 

Thread 'What mathematics software should engineering students use?'

What mathematics software should engineering students use? Is it correct that much of the engineering industry relies on MATLAB, making it the tool many graduates will encounter in professional settings? How does SageMath compare? It is a free package that supports both numerical and symbolic computation and can be installed on various platforms. Could it become more widely used because it is freely available? I am an academic who has taught engineering mathematics, and taught the...
View full post »

Similar threads

Units of constants in transfer functions?
  • · Replies 3 ·
Replies
3
Views
8K
Find transfer function in relation to the disturbance
  • · Replies 1 ·
Replies
1
Views
4K
Bode phase plots and initial angles of transfer functions
  • · Replies 1 ·
Replies
1
Views
2K
Why Is the Moment of Inertia Not Constant in Motion Control?
  • · Replies 9 ·
Replies
9
Views
1K
Zero order hold -- Discrete control systems
  • · Replies 12 ·
Replies
12
Views
8K
What is 's' in a transfer function?
  • · Replies 4 ·
Replies
4
Views
12K
Process Control (transfer function) problem
  • · Replies 1 ·
Replies
1
Views
2K
How to calculate time of Pressurization in vessel?
  • · Replies 15 ·
Replies
15
Views
5K
Why Does the Bode Plot of a Type 1 System Show a Damped Slope Initially?
  • · Replies 1 ·
Replies
1
Views
7K
Transient heat transfer in a cylinder with internal heating
  • · Replies 27 ·
Replies
27
Views
7K