What equation expresses the relationship between period and the length of a simp

Question

What equation expresses the relationship between period and the length of a simple pendulum? (Use the following as necessary: g, L, and m. Do not substitute numerical values; use variables only.) What will the slope of the function Period (T) vs be equal to? (Use the following as necessary: g, L, and m. Do not substitute numerical values; use variables only.) How can the value of g be calculated if the value of the slope for the graph Period (T) vs is known? (Use the following as necessary: slope for the slope of the graph, L, and m. Do not substitute numerical values; use variables only.)

Explanation / Answer

a) T = 2*pi*sqrt(L/g)

slope of T and sqrt(L)

from the euation T is directly propotional to sqrt(L)

T = k*sqrt(L)

k = 2*pi/sqrt(g) ---- slope

sqrt(g) = 2*pi/k

g = 4pi^2/k^2

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