1.)What equation expresses the relationship between period and the length of a s

Question

1.)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.)

2.)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.)

3.)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

1)
T = 2*pi* sqrt (L/g)

2)
T = 2*pi* sqrt (L/g)
T/sqrt(L) = 2*pi* sqrt (1/g)
Slope of T/sqrt(L) will be 2*pi* sqrt (1/g)

3)
slope of the curve is 2*pi* sqrt (1/g)
slope = 2*pi* sqrt (1/g)
g= (2*pi/slope)^2

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