Application: Assume a small
spacecraft is in open space.
One panel is a dedicated
radiator (dimensions in
image) and is painted with
S13 GLO white paint
(emissivity = .89). If the
radiator is at 30C and has a
full view factor to space, how
much heat can it reject from
the system? (How much is
this radiator radiating to
space?). Use 3K for space
temperature. Round answer
up to one decimal place. No
need to include units.
*.../2
1 m
Radiator
.3 m

Respuesta :

The amount of radiation that the system is radiating into space is 1.164 x 10¹⁷. See the explanation below.

What is radiation?

Rockets or space crafts emit heat as they navigate into space. This heat or emissions is what is referred to as radiation.

What is the calculation supporting the answer above?

Recall that we are given the following:

  • Space temperature is T₂ = 3K
  • Radiator Temperature = 30°C
  • Emissivity = 0.89

Thus,

Converting the temperature of the Radiator, we have:

30°C = 273 + 30

= 303K

Area of the Panel of the radiator = 0.3 x 0.1

= 0.03

The formula for the heat emitted by the system is given as:

Q = ∈δA (T₁⁴  - T₁⁴)

Where:

δ = Stefan - Bolta Mann constant

→ δ = 5.67 X 10⁻ⁿ

→ The amount of heat is thus given as:

Q = 0.89 x 5.17 x 10⁸ [ (303)⁴ - (3)⁴] x 0.03

Therefore,

Q = 1.1635158780036 × 10¹⁷

Q ≈ 1.164 x 10¹⁷

Learn more about space radiation at;
https://brainly.com/question/12641556
#SPJ1