The period of a simple pendulum, defined as the time neces-sary for one complete oscillation, is measured in time unitsand is given byT = 27,where l is the length of the pendulum and g is the accelera-tion due to gravity, in units of length divided by time squared.Show that this equation is dimensionally consistent. (Youmight want to check the formula using your keys at the end ofa string and a stopwatch.)

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Asked Dec 16, 2019
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The period of a simple pendulum, defined as the time neces-
sary for one complete oscillation, is measured in time units
and is given by
T = 27,
where l is the length of the pendulum and g is the accelera-
tion due to gravity, in units of length divided by time squared.
Show that this equation is dimensionally consistent. (You
might want to check the formula using your keys at the end of
a string and a stopwatch.)
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The period of a simple pendulum, defined as the time neces- sary for one complete oscillation, is measured in time units and is given by T = 27, where l is the length of the pendulum and g is the accelera- tion due to gravity, in units of length divided by time squared. Show that this equation is dimensionally consistent. (You might want to check the formula using your keys at the end of a string and a stopwatch.)

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Expert Answer

Step 1

Equation for time period of simple pendulum is,

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T = 27 !

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Step 2

Square the equation on both sides.

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T = 47

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Step 3

Dimension of T2 is,...

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[T*]=T°

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Physics

Units and Dimensions

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