Wavelength formula

Wavelength formula:
In this blog we are going to learn about a physics topic Wavelength formula.So,here I am going to give a little introduction of wave length and wave length formula.But along with this formula we should know about Wave length calculator.
Now let’s begin with wave and wave length formula-
Wavelength is nothing but the distance between the crest and crest in a wave or the distance between the depression and trough in a wave. Crest is the peak of the wave and trough is the low dip of the wave. It is denoted as the symbol of λ..T he distance among two successive points on a wave is called wavelength.
Here is the wave length formula.
λ = v / f
λ (lambda) = wavelength in feet.
V = velocity of propagation in feet per second.
f be the frequency into the HZ.
Conversion of frequency to wavelength:-
f = v / λ
Conversion of wavelength to frequency:-
λ = v / f.
Next time we are going to learn about using this formula how we can solve problems on wave length.

Moment of Inertia Rectangle

Moment of Inertia Rectangle:

 In this blog we are going to learn Moment of Inertia Rectangle.But before that we should know the Inertia difinition  .

Inertia is the inability of a body to change by itself either the state of rest or of uniform motion along a straight line unless an external force is applied on it.

Now let's dicuss about moment of inertia and Moment of Inertia Rectangle.I believe that this concept will halp you to understand moment of inertia cylinder concept also.

You can see a wheel and a uniform disc with the same mass rotating about a same axis.

Why is it difficult to start or stop the wheel than to start or stop the disc even though both of them have same mass?

This is because the force required to start or stop an object undergoing rotational motion depends on the product of the mass of the object and the square of the distance from the axis of rotation to the particles which make up the body.

The product of mass and square of the distance from the axis of rotation is greater in the case of a wheel.

This explains why it is difficult to start or stop a wheel. 

The product of mass of the particle and the square of the distance of the particle from the axis of rotation gives the moment of inertia.

Moment of inertia of a body = m₁r₁ + m₂r₂ + ……….+ m_nr_n.Where m_1,  m₂……….m_n are the masses of the particles constituting the object and r₁, r₂……..r_n are the distances of these particles from the axis of rotation. (To be read as - m₁r₁ + m₂r₂ till m_nr_n)

The equation can also be written as

Where m is the mass of the particle and r is the distance of the particle from the axis of rotation.

The SI unit of moment of inertia is kilogram meter squared and the dimensional formula is ML².

The moment of inertia of a rectangle shape such as this one is easily calculated by using the equation I = 1/12 bh3.

Using this equation we can solve  inertia of a rectangular problems.

 

Inertia Definition

 In this blog we are going to learn about how to define inertia.

I don't know much about inertia definition ,but i believe that this discussion will help you to know inertia definition better.

And one more thing if  you understood this concept than it will help you to more inertia ralated concept like moment of inertia cylinder,moment of inertia rectangle etc.but first of all we should learn understood this difinition.

There is a glass tumbler placed on a table over which is placed a card board

Now place a coin on the card board

The tumbler, the card board and the coin are all at rest

Now flick the card board. What do you observe?

You will notice that the coin falls vertically downwards

Observe that the coin does not move with the cardboard

However the coin falls downwards due to force of gravity

The coin does not move with the card board because of the property of matter called inertia

Inertia is the inability of a body to change by itself either the state of rest or of uniform motion along a straight line unless an external force is applied on it

Now let us understand inertia with the help of another example.

Here you can see the passengers in the bus leaning backward when the bus suddenly starts moving.

Why does this happen?

This is because the upper part of the body of the passengers continues to be at rest while the lower part starts moving along with the bus due to inertia

Similarly when a moving bus stops suddenly, the passengers will fall forward.

Adding Vectors

vectors' or adding vectors.

In this blog we are going to learn about adding vectors and addition of vectors.

When two or more than two vectors are added, we get a single vector called the resultant vector.

The resultant of two or more than two vectors is a single vector which produces the same effect as the individual vectors together produce.

Three laws have been evolved for the addition of vectors.

They are

1) Triangle law of vectors

2) Parallelogram law of vectors

3) Polygon law of vectors

Triangle law of vectors

If two vectors are represented both in magnitude and direction by the two sides of a triangle taken in the same order, then the resultant is represented completely, both in magnitude and direction, by the third side of the triangle taken in the opposite order.

This law is used for the addition of two vectors.

Parallelogram law of vectors

If two vectors, acting simultaneously at a point, can be represented both in magnitude and direction by the two adjacent sides of a parallelogram drawn from a point, then the resultant is represented completely both in magnitude and direction by the diagonal of the parallelogram passing through that point.”

This statement is known as parallelogram law of vectors.

Polygon law of vectors

If a number of vectors can be represented both in magnitude and direction by the sides of an open convex polygon taken in the same order, then the resultant is represented completely in magnitude and direction by the closing side of the polygon, taken in the opposite order."

Vector quantity

Vector quantity: -

What is a physical quantity?

Any quantity that can be measured is a physical quantity.

Physical quantities are classified as vectors and scalars

The physical quantities, which require only magnitude for their complete specification, are called scalars or scalar quantity.

They can be added up based on ordinary rules of algebra.

Quantities such as mass, temperature, speed, time, density, etc., are scalars.

Consider a freely falling body under the action of gravity.

Here the motion of the body is one-dimensional and hence the distance traveled in a given time is a scalar.

The motion of the coins on a carom board is two-dimensional.

Similarly when a spacecraft moves in space the motion will be three-dimensional. Here the concept of direction becomes more primal.

Now there is a need to define a quantity, which has both magnitude and direction.

Such quantities are referred to as vectors or vector quantities.

Velocity, acceleration, weight, force, momentum, etc., are vectors.

Representation of vectors: -

A vector is represented by a straight line with an arrowhead.

The length of the line is equal to or proportional to the magnitude of the vector and the arrowhead shows the direction.

Types of vectors: -

Vectors can be classified as-

collinear vectors

unit vectors

co-initial vectors

negative vectors

zero or null vectors

position vectors

Wave Motion

Motion wave

In Physics term wave motion is nothing but a process by which a disturbance at one point is propagated to another point more remote from the source with no net transport of the material of the medium itself. Waves can take many forms, but there are two fundamental types of waves: “longitudinal” and “transverse” Both of these wave-types are traveling disturbances, but they are different because of the way that they travel.

 When the particles of a medium vibrate in a direction at right angles to the direction of propagation of the disturbance through the medium, the waves set up in the medium are called  transverse waves.
When the particles of a medium vibrate in the direction of propagation of the disturbance through the medium, the waves set up in the medium are called longitudinal waves.Now let's learn something about types of motion  and parts of wave in this blog.
Look at the above figure first one is representing  Transverse Wave and second figure representing longitudinal waves.

Acceleration Formula

What is Acceleration?

The time-rate of change of velocity is called acceleration. Acceleration is a vector quantity which is defined as "the rate at which an object changes its velocity.” Issac Newton is credited as the Founding formula of acceleration. He was the 1st scientist to determine that all moving objects had its own acceleration.
Acceleration is described as the change in velocity over time. It is a vector quantity, acceleration is the rate at which the velocity changes. In general term, acceleration is used for an increase in velocity and a decrease in velocity is known as deceleration.
Let’s see the Acceleration Formula-
a = (vf – vi)/ t (Acceleration is designated by ‘a’.)
 We everybody know that Acceleration,Force and Velocity ,these all are related to one another.So lets get some knowledge on Formula for Force and Formula for Velocity.

Take an Example on Acceleration formula:
If a train moved at final velocity of  31 m/s and if it took  20 seconds to reach the final velocity from the standing point,than what is the acceleration  speed of the train?
a=vf-vi/t
a=31m/s -0 m/s/20 sec(divided by)
a= 1.55 m/s2

This is how  using Acceleration Formula we can solved problems.