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.