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The equation of linear motion that applies when the system's acceleration is constant is:

[s = ut + \frac{1}{2}at^2]

Where:

  • (s) is the displacement of the object,
  • (u) is the initial velocity of the object,
  • (a) is the constant acceleration of the object, and
  • (t) is the time elapsed.
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Q: What is the equations of linear motion apply only if system acceleration?
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What structure is involved in detecting linear acceleration?

The vestibular system, which is located in the inner ear, is responsible for detecting linear acceleration. It consists of the otolith organs - the utricle and saccule - that sense changes in linear motion and orientation. When the head moves linearly, the movement of the otolith crystals within these organs triggers nerve impulses to the brain, allowing us to perceive acceleration.


What is the difference between linear and angular kinematics?

Linear kinematics refers to the motion of an object along a straight line, where variables like position, velocity, and acceleration are in one dimension. Angular kinematics, on the other hand, deals with the motion of an object in a circular path, where variables like angular displacement, angular velocity, and angular acceleration are used to describe the motion in a rotational system.


What detects gravity and linear acceleration?

The inner ear's vestibular system is responsible for detecting linear acceleration, which includes changes in motion like speeding up or slowing down. Gravity is sensed by the otolith organs within the vestibular system, specifically the utricle and saccule, which detect changes in head position and orientation relative to gravity.


Is there any difference between angular acceleration and radial acceleration?

Angular acceleration is the rate of change of angular velocity of an object, while radial acceleration is the component of acceleration directed towards or away from the center of rotation. They are related but describe different aspects of an object's motion in a rotational system.


What are 4 tools you can use to change rotary motion to linear motion?

Cam and follower mechanism: Converts rotary motion into linear motion by translating the motion of a cam into the linear motion of a follower. Rack and pinion system: Uses a rotating gear (pinion) to move a linear rack back and forth, converting the rotary motion into linear motion. Scotch yoke mechanism: Utilizes a circular motion to drive a sliding block in a straight line, converting rotary motion to linear motion. Lead screw mechanism: A rotating screw that moves a nut along its threads, translating rotational motion into linear motion.

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