What is Newtons Laplace formula?

What is Newtons Laplace formula?

For mechanic waves, the Newton-Laplace (NL) formula, us=(Bs∕ρ)1∕2 relates the sound velocity with other physical quantities of a material, including the temperature T, density ρ (or equivalently volume V), and pressure P, and can be applied to gases and liquids.

What is Newton formula for speed of sound?

Newton’s formula for velocity of sound in gas is: v= , where P is pressure & ρ is density of gas. Was this answer helpful?

What is Newton’s 3 law?

Newton’s Third Law: Action & Reaction His third law states that for every action (force) in nature there is an equal and opposite reaction. If object A exerts a force on object B, object B also exerts an equal and opposite force on object A. In other words, forces result from interactions.

What is the second and third law of motion?

In the second law, the force on an object is equal to its mass times its acceleration. In the third law, when two objects interact, they apply forces to each other of equal magnitude and opposite direction.

Why is Newton’s formula Laplace corrected?

Laplace Correction for Newton’s Formula He corrected Newton’s formula by assuming that, there is no heat exchange takes place as the compression and rarefaction takes place very fast. Thus, the temperature does not remain constant and the propagation of the sound wave in air is an adiabatic process.

What is Laplace correction in Newton’s formula for velocity?

Laplace correction: Since air contains mainly, nitrogen, oxygen, hydrogen etc, (diatomic gas), we take γ = 1.47. Hence, speed of sound in air is vA = ms ( 1.4 ) ( 280 ms – 1 ) = 331.30 ms-1, which is very much closer to experimental data.

Why Newton’s formula for speed of sound in gas fails?

Laplace Correction solves the error in Newton’s formula by providing an assumption. According to Laplace, compression and rarefaction occur very fast and there is no heat exchange during the compression. Thus, the temperature doesn’t remain constant and the propagation of sound in the gas is an adiabatic process.

What are the corrections introduced by Laplace in the Newton’s formula for velocity of sound in a gaseous medium?

Solution : `v = sqrt((gamma p )/( rho ))` where `sqrt( gamma)`= is Laplace correction factor and` gama = 1+2 //g` where ‘f’ is degrees of freedom of gaseous molecule.

Who discovered Newton’s second law of motion?

Sir Isaac Newton
Sir Isaac Newton was an English scientist. He was born in 1642 and died in 1727. This was around the time of the early colonization of North America, during the founding of some of the original 13 colonies, the French and Indiana wars, and the Salem witch trials.

What is Newton’s second law easy definition?

Newton’s second law says that when a constant force acts on a massive body, it causes it to accelerate, i.e., to change its velocity, at a constant rate. In the simplest case, a force applied to an object at rest causes it to accelerate in the direction of the force.

What is Newton’s formula for speed of sound in air what correction was applied by Laplace?

1 Answer. According to Newton the change in pressure & volume in air is an isothermal process. Therefore he calculated,v =√(p/p) on substituting the require value he found, the velocity of sound was not in close agreement with the observation value.

Why correction was applied by Laplace in this formula?

What correction was applied by Laplace to remove the discrepancy given by Newton’s formula and why? Laplace correction: Laplace suggested that sound waves travel through air under adiabatic conditions and not under isothermal conditions because air is a bad conductor of heat.

What is Newton’s second law known as?

According to Newton s Second Law of Motion, also known as the Law of Force and Acceleration, a force upon an object causes it to accelerate according to the formula net force = mass x acceleration. So the acceleration of the object is directly proportional to the force and inversely proportional to the mass.

Which is Newton 2nd law?

Newton’s second law of motion can be formally stated as follows: The acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object.

What is Newton’s 8th law?

An object will not change its motion unless a force acts on it. An object that is not moving remains at rest until something pushes or pull it.

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