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(a) Solve the formula for g.

(b) Use the table to determine the value of g. (Note: The

units for g are feet per second per second.)

(c) Interpret your result.

T 5 2pB

L

g

,

L (feet) 0.5 1.0 1.5

T (seconds) 0.78 1.11 1.36 28 May 2011

Commentfalling toward Earth. The farther the object falls, the faster

it is moving when it hits the ground. For each second that

an object falls, its speed increases by a constant amount,

called the acceleration due to gravity, denoted g. One way

to calculate the value of g is to use a simple pendulum.

1 0 28 May 2011

The time T for a pendulum to swing back and forth

once is called its period and is given by

where L equals the length of the pendulum. The table lists

the periods of pendulums with different lengths.

(a) Solve the formula for g.

(b) Use the table to determine the value of g. (Note: The

units for g are feet per second per second.)

(c) Interpret your result.

T 5 2pB

L

g

,

L (feet) 0.5 1.0 1.5

T (seconds) 0.78 1.11 1.36

0 0 28 May 2011

0 0 29 May 2011

0 0 28 May 2011

period T = 2pi x (L/g)^-2

(L is the length of pendulum, pi is 3.142, and g is the acceleration of gravity)

From the above equation making g

T^2 = (4pi^2 x L)/g

T^2 /L = 4pi^2/g

From the above you have values for L and T,

create a table of values L, T, T^2

using the values of T^2 and L plot a graph of T^2 verses L and find the slope of the graph.

The slope of the graph is equal to [4(pi)^2]/g

Therefore making g subject formula your g is = [4(pi)^2]/Slope

1 0 30 May 2011

0 0 30 May 2011

0 0 13 June 2011