Answer:
18 mV
Explanation:
The maximum emf is:
ε = N B A ω
where N is the number of turns in the coil,
B is the strength of the magnetic field,
A is the area of the coil,
and ω is the angular velocity.
The number of turns N is equal to the length of the wire divided by the circumference of the coil.
N = L / (2πr)
Area of the coil is:
A = πr²
The angular velocity in rad/s is:
ω = rpm × 2π / 60 s
Therefore:
ε = (L / (2πr)) B (πr²) (rpm × 2π / 60 s)
ε = L B r (rpm × π / 60 s)
Plugging in values:
ε = (1.6 m) (0.071 T) (0.032 m) (93 × π / 60 s)
ε = 0.018 Tm²/s
ε = 18 mV
