Consider a discrete signal \(y\left( n \right) = x\left( n \right)\cos \left( {\frac{{5\pi }}{2}n} \right)\) where \(x\left( n \right) = 20\frac{{\sin \left( {{\omega _c}n} \right)}}{{\pi n}}\)

If the energy of y(n) is 500 units, the value of ωc is ______

Enter numerical value using the virtual keypad. Round off where necessary.

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