The average speed of the bob of a simple pendulum oscillating with a small amplitude $A$ and time period $T$ is
A$\frac{4A}{T}$
B$\frac{2\pi A}{T}$
C$\frac{4\pi A}{T}$
D$\frac{2A}{T}$
AIIMS 2009, Medium
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A$\frac{4A}{T}$
a $\mathrm{x}=\mathrm{A} \sin \left(\frac{2 \pi}{\mathrm{T}} \mathrm{t}\right)$
$\Rightarrow$ distance covered in time $\mathrm{t}=\frac{\mathrm{T}}{4}=\mathrm{A}$
$\Rightarrow$ average speed $=\frac{A}{T / 4}=\frac{4 A}{T}$
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