Re-Arranging Formula for Creep Rupture Time Calculation | Helpful Tips"

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To calculate creep rupture time using the Larson-Miller parameter, the formula LM = T (C + log tr) needs to be rearranged. The constant C is typically around 20, T represents temperature in Kelvin, and tr is the rupture time in hours. The key challenge lies in rearranging the equation to isolate tr, particularly dealing with the logarithmic component. Understanding that the inverse of a logarithm is an exponential function is crucial for this rearrangement. This discussion emphasizes the importance of manipulating logarithmic equations in material science calculations.
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Homework Statement


I am trying to re-arrange the following formula so I can work out the creep rupture time of a material, using the Larson-Miller parameter (LM)

Homework Equations


LM = T (C + log tr)

where : C = constant ( usually of the order of 20 )
T = the temperature in Kelvin
tr = rupture time in hours.

The Attempt at a Solution



I am struggling with the re-arrangement of the "log" bit. Any help would be very much apppreciated.
 
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Hi hoola and welcome to PF,

What is the inverse of a logarithm?
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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