Induced emf is my answer correct ( not sure about b value)

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The discussion focuses on calculating the induced electromotive force (emf) in a circular wire loop due to a changing magnetic field. The magnetic field changes from +0.39 T to -0.62 T, and participants emphasize the importance of using Faraday's Law for accurate calculations. The average value of the magnetic field change is noted, but the need for the derivative of the flux with respect to time is highlighted for precise results. Additionally, there's a suggestion to calculate the magnetic flux through the loop's area, given its diameter of 6.8 cm, to determine the change in flux per second. Understanding these principles is crucial for solving the problem correctly.
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Homework Statement



The magnetic field perpendicular to a circular wire loop 6.8cm in diameter is changed from +0.39 T to -0.62 T in 160 m/s , where + means the field points away from an observer and - toward the observer.

Homework Equations



e=Blv

The Attempt at a Solution



e= 6.8 *10^-2 x 160 x .71/ (the difference) or is it 1.01 the 0.39 - 1.01 = -.62
 
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I think you should be using Faraday's Law for this problem. Just keep in mind that they give you an average value for the change of B, but you need the derivative of the flux with respect to time.
 
Induced emf = rate of change of flux linkage.
You have been given the flux density,B,. Do you know how to calculate the flux through an area with diameter 6.8cm
Can you then calculate the change in flux per second?
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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