Find the derivative of T with respect to L, treating G as a constant. What is the derivative of for any real number, n?a) Assuming that the lenght of a clock pendulum can vary (say, due to temperature changes), find the rate of change of the period T with respect to the lenght L.
The derivative is the limit of a fraction: T(L+h)-T(L)/h If T is in seconds and L and h are in meters, what units does that fraction have?b) If L is in meters (m) and T is in seconds (s), what are the units of the rate of change in part (a)?
Assuming that T and G are positive, is the derivative in (a) positive or negative? If it is positive, that means decreasing the length will decrease the period and so make the clock run faster. If it is negative, that means increasing the length will decrease the period and so make the clock run faster.c) If a pendulum clock is running slow, should the lenght of the pendulum be increased or decreased to correct the problem?
To me, this tough. Please Help Me solve these problems Please.
Thanks in advance to anyone who help