Why Does a Hollow Sphere Cool Faster Than a Solid Sphere?

AI Thread Summary
A hollow sphere cools faster than a solid sphere primarily due to its lower mass and heat capacity, which allows it to lose heat more quickly. The rate of heat loss is influenced by the thickness of the material, with thinner walls facilitating faster cooling. Additionally, the density differences between the two types of spheres affect their specific heat capacities, further contributing to the cooling rate. The combination of these factors explains why a hollow sphere dissipates heat more efficiently than a solid sphere. Understanding these principles is essential in thermodynamics and material science.
Amith2006
Messages
416
Reaction score
2
Sir,
It is said that a hollow sphere cools faster that a solid sphere. Is it because a hollow sphere contains smaller quantity of heat than the solid sphere? Or is it because the rate of heat loss is inversely proportional to thickness of the conductor through which heat is lost?
 
Physics news on Phys.org
Consider the density of a solid sphere, compared to a hollow sphere; and hence compare the specific heat capacity of the two spheres.

~H
 
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
Thread 'A cylinder connected to a hanging mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
Back
Top