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Answer :
The length of the human body is approximately 92.4 cm.
To calculate the amount of radiation emitted by the human body, we can use the Stefan-Boltzmann law:
Q = ε * σ * A * T^4
where Q is the amount of radiation emitted, ε is the emissivity, σ is the Stefan-Boltzmann constant, A is the surface area of the body, and T is the temperature in Kelvin.
First, we need to calculate the surface area of the body. The body can be approximated as a cylinder with two circular caps on the top and bottom.
The surface area of the cylinder is given by:
A_cylinder = 2 * π * r * h
where r is the radius and h is the height.
The radius of the cylinder can be calculated as:
r = width / 2 = 37.5 cm / 2 = 0.1875 m
The surface area of the two circular caps is given by:
A_cap = 2 * π * r^2
The total surface area is then given by:
A = A_cylinder + 2 * A_cap
Substituting the values, we get:
A = 2 * π * 0.1875 m * 1.69 m + 2 * π * (0.1875 m)^2
The temperature in Kelvin is given by:
T = 35.0 deg C + 273.15 = 308.15 K
Substituting all the values into the Stefan-Boltzmann law, we get:
Q = 0.97 * 5.67 * 10^-8 W/m^2/K^4 * 2.08 m^2 * (308.15 K)^4
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