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Uniform circular motion is an accelerated motion explain it.

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Last updated date: 20th Apr 2024
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Answer
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Hint: In uniform circular motion, the speed of the body is constant and the direction with which the velocity of the body changes with time. Further, the velocity of the body changes with time is known as acceleration. In this way we can explain the uniform circular motion is an accelerated motion.

Complete step by step solution:
The acceleration of a particle is said to be uniform if its velocity increases by equal amount in equal intervals of time, however small these time intervals may be known as uniform accelerated motion.
When a body is in uniform circular motion, the speed of the body remains same or constant but the direction of the velocity of the body changes with respect to time. The change in the direction of the velocity of the body with time is called acceleration. Acceleration of a particle is defined as the time rate of change of its velocity or change in velocity in unit time. So, a uniform circular motion is an accelerated motion.

Note: Acceleration can be either positive or negative. In each case, a positive acceleration doesn’t always mean “speeding up”. Similarly in each case, a negative acceleration doesn’t always mean “slowing down”. It is only the value of time $t$ in the relevant formula which will indicate the change of velocity under constant acceleration. Negative acceleration is also known as deceleration or retardation.
At any time $t$, the direction of the motion is represented by velocity not by acceleration. For example, when an object is thrown vertically up then its velocity is directed upwards at any given time but acceleration is directed downwards.