Displacement – Class 11 | Chapter – 3 | Physics Short Notes Series PDF for NEET & JEE
Displacement: Displacement refers to the change in position of the object and is given by the difference between the final and initial positions. Velocity is the rate of change of displacement and is given by the change in displacement divided by the change in time. Acceleration is the rate of change of velocity and is given by the change in velocity divided by the change in time.
Displacement can be calculated by subtracting the initial position vector from the final position vector. The magnitude of displacement is the straight-line distance between the initial and final positions, while the direction of displacement is the direction from the initial position to the final position.
These parameters can be related using various equations of motion, such as:
- x = x0 + vt (for constant velocity)
- x = x0 + (1/2)at2 (for constant acceleration)
- v2 = v02 + 2a(x – x0) (for constant acceleration)
where x0 and v0 represent the initial position and velocity, respectively, and t represents the time elapsed.
Types of Displacement
There are mainly two types of displacement:
- Linear Displacement: Linear displacement is the change in the position of an object in a straight line from its initial position to its final position. It is the shortest distance between the initial and final positions and is measured in meters (m) or centimeters (cm).
- Angular Displacement: Angular displacement is the change in the angular position of an object from its initial position to its final position. It is measured in radians or degrees and is used to describe the rotation of an object around a fixed axis.
- Translational Displacement: Translational displacement is the change in the position of an object from one point to another point in a straight line. It is the same as linear displacement, but the term “translational” is used to distinguish it from other types of displacement.
- Rotational Displacement: Rotational displacement is the change in the angle of rotation of an object around an axis. It is the same as angular displacement, but the term “rotational” is used to distinguish it from other types of displacement.
- Lateral Displacement: Lateral displacement refers to the horizontal displacement of an object from its original position, typically due to a force acting on it. This is often seen in wave phenomena, such as when light waves pass through a prism and are dispersed.
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