A circular coil of radius \(R=50 \mathrm{~mm}\) rotates about an axis that is perpendicular to a uniform magnetic field of magnitude \(B=0.50 \mathrm{~T}\) (Figure P29.23). If the coil completes 60 rotations each second, how many windings must the coil have in order to power an appliance that requires an emf that varies as \(\mathscr{E}_{\text {ind }}(t)=V_{\text {max }} \sin (\omega t)\), where \(V_{\max }=155 \mathrm{~V}\) ?

Data from Figure P29.23

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