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What is Newtons formula for the velocity of sound?

Posted on September 4, 2022 by Author

What is Newtons formula for the velocity of sound?

Let us consider, for a part of the gas a certain amount of pressure is P and volume is V. During the propagation of the sound, the pressure becomes (P+P1) by increasing and hence the volume becomes (V−v) by decreasing. So, from Newton’s calculation, we get, c=√Pρ.

What is Newton Laplace formula of velocity?

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 the speed of sound in a gas according to Newton’s formula if the density?

280ms−1.

What is Newton’s formula?

Newton’s second law, which states that the force F acting on a body is equal to the mass m of the body multiplied by the acceleration a of its centre of mass, F = ma, is the basic equation of motion in classical mechanics.

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What is the velocity of sound in gas?

To compute the speed of sound in a gaseous mixture, use mixture’s adiabatic index and mean molecular mass. The speed of sound in air at 0℃ is 331 m/s. Its value at temperature T ℃ is approximately equal to v=(331+0.6T)m/s. v = ( 331 + 0.6 T ) m / s .

What was wrong with Newton’s formula?

The formula had a loop hole in that these mediums easily deforms when the forces are applied due to sound waves is being attenuated and absorbed when passing through solids that are easily deformed when force is applied.

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

Laplace provided a correction for Newton’s formula. He assumed that, the process of compression and rarefaction occur very fast and no exchange of heat takes place. Thus, the temperature doesn’t remain constant and the propagation of sound in gas is an adiabatic process.

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

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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. Then Laplace pointed out the error in Newton’s formula.

How do you find the velocity?

To figure out velocity, you divide the distance by the time it takes to travel that same distance, then you add your direction to it. For example, if you traveled 50 miles in 1 hour going west, then your velocity would be 50 miles/1 hour westwards, or 50 mph westwards.

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

Why the Newton’s formula for the velocity of sound in air went wrong?

Why was Newton’s formula for finding the velocity of sound in air incorrect?

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