Question

The change in the angle of circular motion is analogous to ____ in linear motion

Answer 1

In circular motion, the angle's change is analogous to displacement in linear motion. Angular displacement in circular motion parallels linear displacement, and tangential acceleration corresponds to linear acceleration but is specific to speed changes in circular paths.

Step-by-step explanation:

The change in the angle of circular motion is analogous to displacement in linear motion. In circular motion, the angular displacement refers to the change in the angle that an object moves through on a circular path. Whereas in linear motion, displacement refers to the change in position of an object along a straight path. It's important to distinguish between angular acceleration and tangential acceleration in circular motion, too. Tangential acceleration refers to changes in the speed of the object moving along the circular path, while angular acceleration relates to how quickly the angle changes.

Similar to how linear velocity and acceleration describe the rate of change of linear displacement and its correspondent rate of change in speed, angular velocity and angular acceleration define the rate of change of angular displacement and its correspondent rate of change in angular speed, respectively.

As noted, linear or tangential acceleration is always tangent to the circle and refers to changes in the speed but not direction. On the other hand, centripetal acceleration refers to the rate of change of direction of the velocity, keeping its magnitude constant. These two types of acceleration are perpendicular and independent of each other in circular motion.

Answer 2

The change in the angle of circular motion is analogous to linear velocity in linear motion

Step-by-step explanation:

We define angular velocity ω as the rate of change of an angle. The greater the rotation angle in a given amount of time, the greater the angular velocity. angular velocity refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time.

The units for angular velocity are radians per second (rad/s). Angular velocity ω is analogous to linear velocity v. Linear velocity is the measure of “the rate of change of displacement with respect to time when the object moves along a straight path.” It is a vector quantity.