# A particle of mass 10 g moves along a circle of radius 6.4 cm with a constant tangential acceleration. What is the magnitude of this accele

$\begin{array}{l} \text { Energy, } E=\frac{1}{2} m v^{2} \\ \\ \Rightarrow 8 \times 10^{-4}=\frac{1}{2}\left(\frac{10}{1000}\right) v^{2} \\\\ \Rightarrow v^{2}=16 \times 10^{-2} \\\\ \Rightarrow v=4 \times 10^{-1}=0.4 m / s \\\\ \text { Now, } v^{2}=u^{2}+2 a_{t} s \quad \text { where, } s=4 \pi r \\\\ \Rightarrow \frac{16}{100}=0+2 a_{t}\left(4 \times \frac{22}{7} \times \frac{6.4}{100}\right) \\\\ \Rightarrow a_{t}=0.1 \mathrm{m} / \mathrm{s}^{2} \end{array}$

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