Calculating Magnetic Field of a Bar magnet

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To calculate the magnetic field of a bar magnet for a hand crank generator, the user provides dimensions and magnetic pull force but lacks the formula for the magnetic field. The induced emf is expressed as ε = NBω(2πRH)sin(ωt), where variables represent the number of coil turns, magnetic field strength, angular speed, radius, height, and time. The user specifically seeks assistance in determining the magnetic field strength from the given data. The challenge lies in the complexity of calculating the magnetic field for a rectangular magnet. Further guidance or formulas from knowledgeable sources would be beneficial for accurate calculations.
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I am trying to calculate the theoretical induced emf of a hand crank generator I am going to make. The generator will have a rotating magnet inside a coil of wire. The magnet will be fairly strong.

Magnetic Pull Force: 146 lbs
Magnet Dimentions: 2"x1"x1" rectangular block

Is is possible to calculate the magnetic field from this data? I have already calculated that the induced emf in the coil will be..

ε = NBω(2πRH)sin(ωt)
N=Number of turns in the coil of wire
B=Magnetic Field
ω=Angular speed
R=Radius
H=height
t=time

The only thing I don't have to calculate the induced emf is the magnetic field. I don't know much about calculating this type of thing, I know it can be tricky. Thanks!

EDIT:
The poles of the bar magnet are on the 2" x 1" faces
 
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