T=aL^b - Take the logarithm of both sides, and reduce this equation by using the rules for logarithms: In your final reduction, you should recognize that some values are constant, while one term is dependent upon the length L (specifically on log10(L)) You plot data to make a plot of log10(L) vs log10(T) (L is independent axis). - Answer: what is the reduced equation? What is the mathematical relationship between the slope of the log-log line and the unknowns a and b? What is the mathematical relationship between the intercept of the log-log line with the vertical axis and the unknowns a and b?
This is the equation for a math related physics problem
Let’s assume that the period T depends on the length L in a non-linear way, namely a power law:
T=aL^b
- Take the logarithm of both sides, and reduce this equation by using the rules for logarithms: In your final reduction, you should recognize that some values are constant, while one term is dependent upon the length L (specifically on log10(L))
You plot data to make a plot of log10(L) vs log10(T) (L is independent axis).
- Answer: what is the reduced equation? What is the mathematical relationship between the slope of the log-log line and the unknowns a and b?
-
What is the mathematical relationship between the intercept of the log-log line with the vertical axis and the unknowns a and b?
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
