Skip to main content

HOW THE NATURAL LAWS WORK?

     


      A is proportional B.  C is inversely proportional to square of D.  This kind of laws are common in physics.  If one quantity depends on another, there must be some number bridge connecting both .

 That is;
A "is proportional to" B
     How to make to A "is equal to" B
    Here we put a "constant" K , A fixed value, a unchanging number between them.
    A=K*B
If we find K, the problem is solved.  We get a accurate relationship between A and B.

     One way to get K is; K = A/B
Make number of trials (experiments), find A  and B for each trial; divide them and get the average value of K.  The "K" will be mostly correct, if the law holds good.
Another way, if B is equal one, then K will be equal to A.
 Third way, you can find K using trial and error method.  That is 'guessing'. 

  Let us go for some examples . Draw a circle.  Let it grow.  As the circumference C grows, its diameter 2 r  also grows.  Let r be its radius. Now we can write
C is proportional to 2r
or
C= K.2r
K = C/2r=22/7=3.14....=pi

    Here the "constant of proportionality" is pi=3.14... It is found using many trial and error methods down the ages.  A circle having circumference of 22 units, has approximately 7 units of diameter.  Here the constant is not sharp and accurate.  It is an irrational number.  A never ending number.  People still find the digits of pi using super computers.

     Newtons second laws says that force is proportional to the product of mass and acceleration.  Here the constant of proportionality is just 'one'.  Hence we can write,
F=ma

     Another Newton's law says that gravitational force between planets is proportional to the product of their masses and inversely proportional to the square of the distance between them.
So, F=G m1 m2/d^2
    Here G is constant.  If m1,m2,d all are equal to unity, then F=G.  That is, gravitational force between two bodies each weighing one kg and separated by a distance of one meter is the constant G.  That force will be very weak and feeble.  But Cavendish successfully measured G using carefully designed experiment, G = 6.74*10^-11.

     Energy of electromagnetic wave is proportional to its frequency.
E= h*freq ; h = 6.626*10^-34.
Here the constant is Planck's constant h and it is discovered by Max Planck.  It is an highly important constant in physics.

      The famous Ohm's law states that current is proportional to voltage.  Here the constant is the simply the 'Resistance '(R) in the path of current.
    V= RI

     The constant occupies even our cosmos.  We know our universe is expanding rapidly.  The speed at which the galaxy is moving is governed by Hubble's constant.
    Try to frame your own law and find the constant. 
--------------------------------------------------------------------------------------------------

Comments

Post a Comment

Popular posts from this blog

Your heart -you do not know

  Size and Location: The human heart is roughly the size of a clenched fist and is located slightly to the left of the center of the chest. Despite its relatively small size, the heart plays a crucial role in pumping blood throughout the entire body. Heartbeat Variability: The heart does not beat at a constant rate. The interval between heartbeats can vary, and this variability is considered a sign of a healthy heart. Factors such as breathing, emotions, and physical activity influence the heartbeat. Electrical Conduction: The heart's contractions are controlled by electrical impulses. The sinoatrial (SA) node, often called the "natural pacemaker," generates electrical signals that regulate the heartbeat and coordinate the pumping of blood. Blood Pumping Capacity: On average, the human heart pumps about 2,000 gallons (or 7,570 liters) of blood each day. Over a lifetime, this amounts to pumping enough blood to fill several Olympic-sized swimming pools. Heart Chambers and V...
Post a Comment
Read more

THE WORK HORSE "="

    One cannot think of  a mathematical step without 'is equal to ' .  It balances right hand side and left hand side.  It aids simplification and manipulation of a mathematical expression. example: 2(A+B)  = C 2A+2B  = C         2A = C-2B           A = C-2B/ 2   In an electronic calculator,  the pressing of ' = " sign executes an asthmatic expression  or simply calculates.       In computer languages, it plays very important role.                                                                 A = B   When a computer looks at this expression, the value stored in the location named B is just transferred to the storage named A .  After execution both A and B will have the same value an...
Post a Comment
Read more

How does your smart phone detect motion, steps, rotation, and location?

 How it works-1  An accelerometer in a smartphone is a microelectromechanical system (MEMS) device that measures acceleration and tilt. It works by detecting changes in motion by measuring the vibration or acceleration of the device. The accelerometer consists of a small mass suspended on a spring inside a sealed chamber. When the device is subjected to acceleration, the mass moves relative to the device, causing a change in capacitance that can be measured and processed by the smartphone's hardware. The accelerometer measures acceleration in three dimensions (x, y, and z) and provides data that the smartphone's software can use to determine the device's orientation, detect motion, and track changes in velocity and acceleration. The accelerometer is used for a variety of purposes in a smartphone, including screen rotation, motion tracking for games and fitness apps, and detecting the position of the device for navigation and location services. Additionally, it can be used t...
Post a Comment
Read more