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A wire loop enclosing a semi-circle of radius \(r = 1 \text{ m}\) is located on the boundary of a uniform magnetic field of induction \(B = 2T\). At the moment \(t = 0\) the loop is set into rotation with a constant angular acceleration \(\alpha = 3\text{ rad/s}^{2}\) about an axis \(O\) coinciding with a line of vector \(B\) on the boundary. Find the magnitude emf induced (in Volts) in the loop at \(t = 2\text{ sec}\).

(You can ignore self-inductance effects.)

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