Estimate the speed of Tyrannosaurus rex.

3 k m h^{- 1}

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4 k m h^{- 1}

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5 k m h^{- 1}

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none of these

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Solution

The correct option is A $5 k m h^{- 1}$
$T = 2 π \sqrt{\frac{I_{s u p p o r t}}{m g l_{c m}}} I_{s u p p o r t} = \frac{m l^{2}}{3} l_{c m} = \frac{l}{2} \Rightarrow T = 2 π \sqrt{\frac{(\frac{1}{3} m l^{2})}{m g (\frac{l}{2})}} = 2 π \sqrt{\frac{2 l}{3 g}}$
$\Rightarrow T = 2 π \sqrt{\frac{2 \times 3.1}{3 \times 9.8}} = 2.9 s$
$v = \frac{S t r i d e l e n g t h}{T}$
$\Rightarrow v = \frac{4}{2.9} = 1.4 m s^{- 1} = 5 k m h^{- 1}$

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