Period, Frequency and Displacement as a function of time

The manner that various bodies move can be used to classify their motion. A car, for example, is considered to be in linear motion if it is traveling down a straight road. The earth revolves around the sun in a circular motion. All of these movements are referred to as periodic motions. f= I/T is a formula that can be used to express periodic motion.

A periodic function is a motion that repeats itself at regular intervals. As a result, the function returns to its initial state after a set amount of time. The motion of a rocking chair, swing set, or other similar item is an example of a periodic function. A periodic function can also be defined as anything that moves in a circular manner.

Period and Frequency of the Period Motion

 Periodic motion is defined as a period or interval of time in which a motion repeats itself at equal intervals of time, and it has the SI unit of seconds. The motion is known as a period in each case for the interval of time for each cycle of repetition, whereas frequency is the number of periods per unit of time. As a result, the period of the earth’s orbit is one year, and the frequency of the earth’s orbit is one orbit each year. A tuning fork with a frequency of a thousand cycles per second and a period of one millisecond (one-thousandth of a second) can be used.

Displacement as a Function of Time

The displacement is a vector quantity, and the length of the displacement is the shortest distance between the initial and final positions. It provides a straight line from a starting point to a final position, as well as the direction and distance of the imagined motion. The relative position can be used to describe the displacement. When analysing the motions of objects across time, the object’s instantaneous velocity, or rate change of displacement, is modified as a function of time. This instantaneous speed is not to be confused with the velocity or the rate of change in the distance travelled along a certain path.     

Understanding the Difference between Periodic and Oscillatory Motion

After going through the periodic characteristic definition, you may without problems get careworn with oscillatory movement in the beginning glance. But now no longer all periodic features are oscillatory at an equal time. One of the largest variations among the 2 is that, even as periodic motions may be repetitive at times, oscillatory movement is best limited at an equilibrium factor.

For higher understanding, you may take the instance of a bob of a pendulum. It oscillates alongside its equilibrium function periodically. During its motion, the displacement takes the region from 0 to high-quality to bad passing through its preliminary function. Such a movement is periodic and oscillatory at the equal time. Another issue of the oscillating movement is Simple Harmonic Motion (SHM), wherein the restoring pressure of the periodic movement is without delay proportional to that of its displacement.

Conclusion

One can recognize periodic characteristics because of the movement that takes place repetitively over the direction of constant periods. Periodic characteristic examples consist of rocking a chair, that’s around movement. In different words, one also can outline a periodic characteristic because of the movement that returns to its preliminary function after a set length of time. The displacement is a vector quantity, and the length of the displacement is the shortest distance between the initial and final positions. It provides a straight line from a starting point to a final position, as well as the direction and distance of the imagined motion.