Answer:
The new temperature is
Explanation:
From the question we are told that
The coefficient of linear expansion is
The temperature is
The radius of the frames is
The new radius is
The change in radius is mathematically represented as
substituting values
The increase in radius can also be mathematically represented as
Where is the the new temperature , making it the subject we have
substituting value
Answer:
a) I₂ = 2.78 10⁻² W / m²
, b) I₃ = 9 10⁻² W/m²
, c) R₄ = 2 10⁶ m
Explanation:
The intensity of a wave is defined as the emission power per unit area
I = P / A
The unit of decibels is defined by
β = 10 log (I / Io)
With Io the hearing threshold 10⁻¹² W / m²
a) the intensity at r = 12m
Let's use the first equation
P = IA
I₁ A₁ = I₂ A₂
Let's look for intensity (I₁)
β / 10 = log I₁ / I₀
I / I₀ =
I = I₀
I = 1 10⁻¹²
I = 1 W / m²
The area of a spherical surface is
A = 4π R²
I₁ r₁² = I₂ r₂²
I₂ = I₁ R₁² / r₂²
I₂ = I₁ 2²/12²
I₂ = 1 2.78 10⁻²
I₂ = 2.78 10⁻² W / m²
b) r = 21 m
I₃ = I₁ r₁² / r₃²
I₃ = 1 2²/21²
I₃ = 9 10⁻² W/m²
c) in this case I₄ = I₀
I₁ r₁² = I₄ r₄²
R₄² = I₁ / I₄ r₁²
R₄² = 1 / 10⁻¹² 2²
R₄² = 4 10¹²
R₄ = 2 10⁶ m
Answer:
Explanation:
efficiency = energy output x 100 / energy input
putting the values
22.3 = 6.25 x 10⁴ x 100 / energy input
energy input = .28 x 10⁶
= 28 x 10⁴ J
energy that needs to be put into the engine = 28 x 10⁴
I would say pressure, but it might depend on what you mean by stability. Pressure will tell you how many particles and how energized those particles are, the more particles the higher the pressure, the harder it is to change or remove the atmosphere due to the larger mass of it. Also consistent pressure measurements can tell you how stable the atmosphere in a particular region is. So if stability means how consistent are the weather conditions, pressure can be a good indicator too, differences and changing pressures can cause weather catastrophes like tornados and hurricanes.
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