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Uniform circular motion is described by which of the following examples?
A rain drop falling from the sky
A car moving on a straight road
A monkey jumping from one tree to another
motion of clock hands
motion of clock hands
Uniform circular motion is defined as the motion of an object along a circular path with a constant speed. In this motion, although the speed remains constant, the velocity continuously changes due to a continuous change in the direction of motion, meaning the object experiences acceleration (centripetal acceleration). The motion of the hands of a clock represents a classic example of uniform circular motion because the second, minute, and hour hands rotate at constant angular speeds.
Uniform circular motion is defined as the motion of an object along a circular path with a constant speed. In this motion, although the speed remains constant, the velocity continuously changes due to a continuous change in the direction of motion, meaning the object experiences acceleration (centripetal acceleration). The motion of the hands of a clock represents a classic example of uniform circular motion because the second, minute, and hour hands rotate at constant angular speeds.
Watching the second hand of a clock sweep smoothly across the dial at a steady rate illustrates uniform circular motion, where every rotation takes the exact same amount of time.
Speed is constant, Direction changes (SCD)
v=╧Йr тАФ Relationship between linear speed, angular speed, and radius
acтАЛ=rv2тАЛ=╧Й2r тАФ Centripetal acceleration formula
T=╧Й2╧АтАЛ тАФ Time period of circular motion
In uniform circular motion, the distance travelled per unit time along the circumference is constant, yielding a constant speed (v=╧Йr). However, since velocity is a vector quantity having both magnitude and direction, any change in direction implies a change in velocity. This gives rise to a radial acceleration directed towards the center of the circular path, known as centripetal acceleration (acтАЛ=rv2тАЛ=╧Й2r).
In uniform circular motion, speed remains constant while velocity changes due to continuous change in direction.
Acceleration is always directed towards the center of the circular path (centripetal acceleration).
Clock hands rotate with a uniform angular velocity.
A rain drop falling or a car moving on a straight road represents linear motion, not circular motion.
Predictable and periodic time intervals utilized for accurate time measurement.
Mechanical clocks and wristwatches
Satellites orbiting the Earth at constant orbital speed
Centrifuges in laboratories
Option A (Rain drop) describes linear vertical motion under gravity and viscous drag.
Option B (Car on straight road) describes rectilinear motion.
Option C (Monkey jumping) describes projectile/complex non-uniform motion.
Option D (Motion of clock hands) is the standard textbook example
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