Physics circular motion equations

  Physics circular motion is today topic for you . Because it’s very important and interesting topic of Physics. 

So you’ll enjoy to learn Physics circular motion hidden concept keep reading.  
You will study here from basic concept of Physics circular motion to the hidden concept of circular motion.
So lets start first question what is circular motion ? which’s easy for you right.
My simple Answer, when any body or particle moves on a circle or circular path this type of motion is called circular motion.
But this motion is found in whole universe everywhere you can see and analyse the picture below.

Physics Circular Motion hidden concept is here

From above picture planets moves around sun in circular motion, moon moves around Earth in circular motion.
Even electron moves in atom around the nucleus in circular path.
So that here all above examples are doing circular motion .
But important point is heavy mass like Earth, planet and Moon as well as light mass like electron are doing circular motion.
Hence it is clear that big body as well as small particle are doing circular motion everywhere.
so it is very obvious if you want to understand the world.
Then first important to understand circular motion. so it’s very interesting.
So you are going to study in this topic Physics circular motion .
But at the same time mechanics start from circular motion concept.
Therefore Physics circular motion is important topic for you.
I hope, you got my point why it’s important ?
Because mechanics is going to some complicated branch of Physics but don’t worry .
Only you need  to understand carefully.
all the points in this discussion you have already studies kinematics topic.
so you can understand well circular motion because circular motion will related with kinematics you can refer Kinematics concept
you can do small question of circular motion from the concept of kinematics very easily see below questions.

Physics of Circular motion

   In above simple question we have just uses to answer the basic concept of kinematics which we have already studies .
so it is important to refer kinematics concept first then study circular motion you will understand better.

Angular variables

when an object moves on a curve its position vector always changes from reference point .
Which’s origin and its direction is also changes here position vector is represented by r and direction is represented by 𝜃 .
Hence using by this two variable any particle moving on a curve path angular position can be found and this is called angular variables see below in picture.

So from the above picture all three cases, it is clear that general motion is curve motion.

where r position vector and angle both changes one dimensional straight line motion is special case of curve motion.
Again where angle is constant only r position vector changes.
  similarly  circular motion is a special type of motion where r position vector is constant only and angle is changing.
so here you will compare in more details between one dimensional motion and circular motion .
Because our circular motion understanding will more develop now see below the comparison.


Physics Circular motion equations

Here from above comparison between two motion you will see the below point in one dimension linear position x = +2m or x= -2 m .
while in circular motion angular position 𝜃 = 𝛑/3 rad or 𝜃 = –𝛑/3 rad
linear displacement 𝚫x = Xf-Xi m while in circular motion angular displacement 𝚫𝜃 = 𝜃f-𝜃i rad.
linear velocity = dx/dt = v m/s while in circular motion angular velocity = d𝜃/dt = 𝛚 rad/s.
Q find 𝛚 of  second and minute hand of a clock .
So it is very simple question first 𝛚 of second hands = angular displacement/time = 2𝛑/60 = 𝛑/30 rad/s now 𝛚  for minute hand = 2𝛑/60*60 = 𝛑/1800 rad/s.
You know linear acceleration = dv/dt = a while in circular motion angular acceleration = d𝛚/dt = 𝛂 whenever 𝛂 is positive its mean that angular velocity 𝛚 is increasing.
whenever 𝛂 is negative it mean that angular velocity 𝛚 decreasing when 𝛂 =0 its mean that 𝛚 is constant you can experience.
when fan is on then 𝛂 is positive and angular speed is increasing after sometime 𝛂 becomes zero then angular speed is constant.
when fan is off it is reverse of first case you can notice it is best example.
In linear motion at constant acceleration we have three motion equation  v = u+at, v² = u²+2as , s = ut+1/2at².
similarly in circular motion we have equation 𝛚f = 𝛚i+𝛂t  , 𝛚²f = 𝛚²i+2𝛂𝜃, 𝜃 = 𝛚t+1/2𝛂t²
Now you can use this formula to solve the numerical problem for circular motion questions .
So i will continue in next post more concept details keep reading every post.
I hope you have enjoyed learning Physics circular motion equations.
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Dated 3 Sep 2018.