amplitude, Period, Frequency, and angular Frequency



Rating - 4/5
542 views

Here are some terms that we’ll use in discussing periodic motions of all kinds:

The amplitude of the motion, denoted by A, is the maximum magnitude of
displacement from equilibrium—that is, the maximum value of 0 x 0 . It is always
positive. If the spring in Fig. 14.2 is an ideal one, the total overall range of the
motion is 2A. The SI unit of A is the meter. A complete vibration, or cycle, is one
complete round trip—say, from A to -A and back to A, or from O to A, back
through O to -A, and back to O. Note that motion from one side to the other (say,
-A to A) is a half-cycle, not a whole cycle.

The period, T, is the time to complete one cycle. It is always positive. The SI unit is the second, but it is sometimes expressed as “seconds per cycle.” The frequency, f, is the number of cycles in a unit of time. It is always positive. The SI unit of frequency is the hertz, named for the 19th-century German physicist Heinrich Hertz:

   1 hertz = 1 Hz = 1 cycle/s = 1 s-1

 

The angular frequency,\(x = { \Omega}\)is 2p times the frequency:

amplitude, Period, Frequency, and angular Frequency

 

 

 

These Topics Are Also In Your Syllabus amplitude, Period, Frequency, and angular Frequency
1 Types of Operating Systems - Batch operating system, Time-sharing systems, Distributed OS, Network OS, Real Time OS link
2 SOLVED EXAMPLES ON EQUILIBRIUM link
You May Find Something Very Interesting Here. amplitude, Period, Frequency, and angular Frequency link
3 stress, strain, and elastic moduLi link
4 tensile and Compressive stress and strain link
5 Types Of Systems link

We’ll learn shortly why v is a useful quantity. It represents the rate of change of an angular quantity (not necessarily related to a rotational motion) that is always measured in radians, so its units are rad>s. Since f is in cycle>s, we may regard the number 2p as having units rad/cycle. By definition, period and frequency are reciprocals of each other:

amplitude, Period, Frequency, and angular Frequency

 

 

 

Also, from the definition of v,

amplitude, Period, Frequency, and angular Frequency

 

 

 

These Topics Are Also In Your Syllabus amplitude, Period, Frequency, and angular Frequency
1 Types of Operating Systems - Batch operating system, Time-sharing systems, Distributed OS, Network OS, Real Time OS link
2 A visit to a Black hole link
You May Find Something Very Interesting Here. amplitude, Period, Frequency, and angular Frequency link
3 Detecting Black holes link
4 SUMMARY link
5 PERIODIC MOTION link

 

amplitude, Period, Frequency, and angular Frequency


Rating - 4/5
473 views

Advertisements