A top in the form of a cone is spinning about its symmetry axis at a rate �, while precessing about the vertical axis at a rate
�. Assume that the nutation angle � is constant. Assume that the moments of inertia of the top about the symmetric and the transverse axes are given by Is and It respectively about the center of mass C. a) Given that the floor on which the top is precessing is smooth, find a relationship between the spin rate and the precession rate. [30] b) How does the answer change if you were told now that the floor had friction, and the top was precessing with its vertex O fixed?
1 answer:
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Answer:
83.2 W/m^2
Explanation:
The radiation per unit area of a star is directly proportional to the power emitted, which is given by Stefan-Boltzmann law:
where
is the Stefan-Boltzmann constant
A is the surface area
T is the surface temperature
So, we see that the radiation per unit area is proportional to the fourth power of the temperature:
So in our problem we can write:
where
is the power per unit area of the present sun
is the temperature of the sun
is the power per unit area of sun X
is the temperature of sun X
Solving for I2, we find