The period T of a simple pendulum with small oscillations is calculated from the formula T = 2 π L / g , where L is the length of the pendulum and g is the acceleration due to gravity. Suppose that measured values of L and g have errors of at most 0.5 % and 0.1 % , respectively. Use differentials to approximate the maximum percentage error in the calculated value of T .
The period T of a simple pendulum with small oscillations is calculated from the formula T = 2 π L / g , where L is the length of the pendulum and g is the acceleration due to gravity. Suppose that measured values of L and g have errors of at most 0.5 % and 0.1 % , respectively. Use differentials to approximate the maximum percentage error in the calculated value of T .
The period T of a simple pendulum with small oscillations is calculated from the formula
T
=
2
π
L
/
g
,
where L is the length of the pendulum and g is the acceleration due to gravity. Suppose that measured values of L and g have errors of at most
0.5
%
and
0.1
%
,
respectively. Use differentials to approximate the maximum percentage error in the calculated value of T.
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
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