The period T, of a simple pendulum is dwefined by the function T=4pi rut(l/g) where g is the constant gravitational acceleration and l the length of the pendulum.find the %change in the period caused by lengthening the pendulum by 2%.please help i diffrentiated to get dt/dl=pi/rut lg .I'm stuck there.
Are you using "T" to mean the same thing as "t"? What is the meaning of "rut"? Is this a function name?
The standard equation for a simple pendulum, as displayed in
this resource, is given by:
In the above, "L" is defined such that it likely corresponds to your "l", and "g" corresponds to your "g"; the L and g are inside the square root, in ratio. Might this be the equation you are supposed to use? If so, then you may find
this discussion, or ones like it, to be helpful.
If I have misinterpreted your meaning, kindly please respond with corrections. Thank you.