Circular Motion


 
 
Concept Explanation
 

Circular Motion

CIRCULAR MOTION:

If an object moves in a circular path with uniform speed,then its motion is called uniform circular motion.

  • When an object moves along a circular path, then its direction of motion keeps changing continuously. Since, the velocity changes due to continuous change in direction and thus motion along a circular path is said to be accelerated.
  • When a body takes one round of a circular path, then it travels a distance equal to its circumference which is large 2pi r, where r is the radius of the circular path.
  • Then, speed of the body moving in a circular path, large v=2pi r/t, where t is the time taken for one round of circular path and large pi is constant having value22/7.
  • Some of the examples of uniform circular motion are as follows:

    (i)A piece of stone tied to a thread and rotated in a circle with a uniform speed.

    (ii) The motion of blades of an electric fan around the axle.

    (iii) A satellite in a circular orbit around the earth.

    (iv) A car is moving on a circular path with constant speed.

    Example: The minute hand of a wall clock is 10 cm long. FInd its displacement and the distance covered from 10: 00 am to 10 : 30 am.

    SOLUTION  Given, length of the minute hand, l = 10 cm

    large therefore  Displacement from 10:00 am to 10:30 am is given by diammeter AOB = 2l = 20 cm

    Total distance covered  by the minute hand

    large =ACB=pi l=frac{22}{7}times10 cm=frac{220}{7}=31.43cm

    The displacement of the minute hand is 20 cm and distance is 31.43 cm.

    Sample Questions
    (More Questions for each concept available in Login)
    Question : 1

    A body moving along a circular path has

    Right Option : A
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    Question : 2

    The SI unit for angular velocity is

    Right Option : C
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    Question : 3

    A body travels in a semi-circular path of radius 16 m. The time taken to travel this path if the speed of the body is 16 m s^{-1} is ____________ s.

    Right Option : A
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