A faraday disc dynamo of radius R=20cm generates 1.wv in o.o8T magnetic field directed perpendicularly to the plane of the disc. What is the frequency of rotation in rpm
To find the frequency of rotation in rpm, we can use the formula:
f = (V)/(2πR)
where f is the frequency in Hz, V is the induced voltage in volts, and R is the radius in meters.
Given that the induced voltage V = 1.0 V and the radius R = 0.2 m, we can substitute these values into the formula:
f = (1.0)/(2π(0.2))
Simplifying this expression:
f = 1.0/(0.4π)
To convert this frequency from Hz to rpm, we can use the conversion factor:
1 rpm = 1/60 Hz
Therefore, the frequency in rpm is:
f(rpm) = (1.0/(0.4π))*(1/60)
Evaluating this expression:
f(rpm) ≈ 0.530 rpm
So, the frequency of rotation is approximately 0.530 rpm.