<p>A particle is moving in a circle of radius 50cm&nbsp; in such a way that at any instant the normal and tangential components of it&#39;s acceleration are equal. If its speed at t = 0 is 4 m/s, the time taken to complete the first revolution will be&nbsp;<span class="equation">\(\frac{1}{\alpha}\)</span><span class="equation">\(\begin{bmatrix}
1-e^{-2\pi}
\end{bmatrix}\)</span>s, where <span class="equation">\(\alpha\)</span>​​​​​​​ = _____​​​​​​​</p>