(a) The angular speed of the loops is 6.284 rad/s.
(b) The area of one loop is 0.071 m².
(c) The maximum emf of the generator is 111.54 V.
(d) The rms emf of the generator 78.87 V.
The angular speed of the loop is calculated as follows;
[tex]\omega = 60 \ \frac{rev}{\min} \times \frac{2\pi \ rad}{1 \ rev} \times \frac{1 \min}{60 \ s} \\\\\omega = 6.284 \ rad/s[/tex]
The area of the loop is calculated as follows;
A = πr²
A = π x (0.15)²
A = 0.071 m²
emf(max) = NBAω
emf(max) = (250) x (1) x (0.071) x (6.284)
emf(max) = 111.54 V
[tex]V_{rms} = \frac{V_0}{\sqrt{2} } \\\\V_{rms} = \frac{111.54}{\sqrt{2} } \\\\V_{rms} = 78.87 \ V[/tex]
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