How Does Friction Torque Affect Angular Speed in a Spinning Spherical System?

thecombover
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A uniform spherical shell of mass 9.00 with diameter 54.0 has four small masses of mass 2.00 attached to its outer surface and equally spaced around it. This combination is spinning about an axis running through the center of the sphere and two of the small masses
yf_Figure_10_43.jpg


What friction torque is needed to reduce its angular speed from 80.0 to 55.0 in a time interval of 35.0 ?
 
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thecombover said:
… What friction torque is needed to reduce its angular speed from 80.0 to 55.0 in a time interval of 35.0 ?

Hi thecombover! Welcome to PF! :smile:

Circular version of good ol' Newton's second law …

net torque = rate of change of angular momentum …

so how much angular momentum do you need to change? :wink:
 

Thread 'Modeling a graph that shows age in relation to depth of an ice sample'

To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
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