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

1 answer

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.