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mart [117]
3 years ago
6

Uest1. State Newton's law of cooling.​

Physics
1 answer:
garik1379 [7]3 years ago
6 0

Answer:

Newton's law of cooling states that the rate of heat loss of a body is directly proportional to the difference in the temperatures between the body and its surroundings. The law is frequently qualified to include the condition that the temperature difference is small and the nature of heat transfer mechanism remains the same. As such, it is equivalent to a statement that the heat transfer coefficient, which mediates between heat losses and temperature differences, is a constant. This condition is generally met in heat conduction (where it is guaranteed by Fourier's law) as the thermal conductivity of most materials is only weakly dependent on temperature. In convective heat transfer, Newton's Law is followed for forced air or pumped fluid cooling, where the properties of the fluid do not vary strongly with temperature, but it is only approximately true for buoyancy-driven convection, where the velocity of the flow increases with temperature difference. Finally, in the case of heat transfer by thermal radiation, Newton's law of cooling holds only for very small temperature differences.

When stated in terms of temperature differences, Newton's law (with several further simplifying assumptions, such as a low Biot number and a temperature-independent heat capacity) results in a simple differential equation expressing temperature-difference as a function of time. The solution to that equation describes an exponential decrease of temperature-difference over time. This characteristic decay of the temperature-difference is also associated with Newton's law of cooling

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Math phys can i have help 7-10
Vladimir79 [104]

Answer:

007. 4. 124.091

008. 9. 0.232679738562091

009. 1. 66.8457608738846

010. 3. 14.2 N

Explanation:

007. Speed of a wave is the product of its wavelength and it frequency.

v = λ f

For a given velocity, the minimum frequency occurs at the maximum wavelength.

For a standing wave, the distance between the nodes (fixed points that don't oscillate) is a multiple of half the wavelength.

L = k/2 λ

The wavelength is a maximum at k=1 (also known as the first harmonic).

L = 1/2 λ

λ = 2L

Substituting and solving for f:

v = 2L f

f = v / (2L)

f = 546 m/s / (2 × 2.2 m)

f = 124.091 Hz

008. The sound travels from the dolphin to the ocean floor, then back to the dolphin.  So it travels a total distance of 2 × 178 m = 356 m.  At a speed of 1530 m/s, the time it takes for the sound to travel this distance is:

t = d / v

t = 356 m / 1530 m/s

t = 0.232679738562091 s

009. Sound intensity in decibels is:

I(db) = 10 log(I / I₀)

where I is the sound intensity (W/m²) and I₀ is the threshold of hearing.

We know that the sound intensity I is proportional to the number of cars per minute.  If we say n is the number of cars per minute, and k is the constant of proportionality, then:

I(db) = 10 log(kn / I₀)

When n = 132, I = 73.

73 = 10 log(132k / I₀)

7.3 = log(132k / I₀)

10^7.3 = 132k / I₀

k / I₀ = (10^7.3) / 132

k / I₀ = 151156.236

So the equation for intensity in decibels is:

I(db) = 10 log(151156.236 n)

When n = 32:

I(db) = 10 log(151156.236 × 32)

I(db) = 66.8457608738846

010. For a vibrating string, the tension is:

T = v² m/L

where v is the speed and m/L is the mass per length of the string.

When v = 18.6, T = 6.43.

6.43 = (18.6)² m/L

m/L = 0.01859

So the equation is:

T = 0.01859 v²

When v = 27.6:

T = 0.01859 (27.6)²

T = 14.2 N

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F=ma where f=force,m=mass,acceleration =a
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As per Newton's law we know that

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4 = 2 a

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