can anyone explain me angular displacement and velocity
Answers
Angular Displacement :
In physics, Curvilinear motion is an unavoidable part. The motion of an object along a curved path is studied under circular motion or curvilinear motion. In the case of linear motion, the difference between the initial point and final point is termed as displacement. Thus the circular motion equivalence of displacement is Angular displacement and is represented using Greek letter θ. Angular displacement is measured using the unit degree or radian.
Angular Displacement Definition
Angular displacement is defined as “the angle in radians (degrees, revolutions) through which a point or line has been rotated in a specified sense about a specified axis”. It is the angle of the movement of a body in a circular path.
What Is Angular Displacement?
It is the angle made by a body while moving in a circular path. Before we go any further into the topic, we have to understand what is meant by rotational motion. When a rigid body is rotating about its own axis, the motion ceases to become a particle. It is so because in a circular path velocity and acceleration can change at any time. The rotation of rigid bodies or bodies which will remain constant throughout the duration of rotation, over a fixed axis is called rotational motion.
The angle made by the body from its point of rest at any point in the rotational motion is the angular displacement.
Angular DisplacementFor example-
If a dancer dancing around a pole does one full rotation, his or her angular rotation will be 360⁰. On the other hand, he or she makes half a rotation; the displacement will be 180⁰
It is a vector quantity, which means that it has both magnitude and direction.
For example, an displacement of 360⁰, clockwise is very different from 360⁰, counter-clockwise.
Velocity :
What is Velocity?
The meaning of velocity of an object can be defined as the rate of change of the object’s position with respect to a frame of reference and time. It might sound complicated but velocity is basically speeding in a specific direction. It is a vector quantity, which means we need both magnitude (speed) and direction to define velocity. The SI unit of it is meter per second (ms-1) if there is a change in magnitude or the direction in the velocity of a body the body is said to be accelerating.
Initial and Final Velocity
Initial velocity describes how fast an object travels when gravity first applies force on the object. On the other hand, the final velocity is a vector quantity that measures the speed and direction of a moving body after it has reached its maximum acceleration.
How to find the final velocity?
Finding the final velocity is simple with a few calculations and basic conceptual knowledge.
Determine the object’s original velocity by dividing the time it took for the object to travel a given distance by the total distance. In the equation V = d/t, V is the velocity, d is the distance and t is the time.
Determine the object’s acceleration by dividing the object’s mass by the force and multiply the answer by the time it took for it to accelerate. For example, if the object weighs 30 kg and has a force of 15 N applied to it, then the acceleration would be 4 m/s.
Add the quantity obtained from Step 1 and Step 2 to obtain the final velocity. For example, if your initial velocity was 3 m/s and your object acceleration is 4 m/s, your final velocity is 7 m/s (3 + 4 = 7).
Example of Velocity
To understand the concept of instantaneous velocity and average velocity, let’s take this example. Jewel goes to school in her dad’s car every morning. Her school is 8 km from her home, and she takes 15 mins to travel, but when she looks at the speedometer on the dashboard of the car, it shows a different reading all the time. So, now how would she know her velocity?
Example of Velocity
Well, the average velocity of Jewel’s car could be found by:
For convenience, we have considered the car to move in a straight line, and we will convert all the units of time to hours. Therefore, 15 mins = 1560 = 0.25 hours.
Average velocity, v = △x△t
v = 8 km/0.25 hrs
v = 32 km/h
Now we see that even though the car may vary its speed if it covers the same amount of distance in the same amount of time, every time its average velocity will remain the same.
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Hope it helps you :)
Answer:
Angular velocity is a vector quantity and has both a magnitude and a direction. The direction is the same as the the angular displacement direction from which we defined the angular velocity. Angular velocity is measured in radians per second, or revolutions per second, or revolutions per minute (rpm).