Please help solve ! I figured out the first parts of this problem but I cannot g

Question

Please help solve ! I figured out the first parts of this problem but I cannot get the right numbers for the questions below

A conducting wire formed in the shape of a right triangle with base b = 30 cm and height h = 55 cm and having resistance R = 2 ?, rotates uniformly around the y-axis in the direction indicated by the arrow (clockwise as viewed from above (loooking down in the negative y-direction)). The triangle makes one complete rotaion in time t = T = 1.7 seconds. A constant magnetic field B = 1.3 T pointing in the positive z-direction (out of the screen) exists in the region where the wire is rotating.

- angular frequency of rotation  ? = 3.696 rad/seconds

- Imax = .198

3) At time t = 0, the wire is positioned as shown. What is the magnitude of the magnetic flux ?1 at time t = t1 = 0.6375 s?

4)What is I1, the induced current in the loop at time t = 0.6375 s? I1 is defined to be positive if it flows in the negative y-direction in the segment of length h.

5) Which of the folowing statements about ?o, the magnitude of the flux through the loop at time t = to = 0.425 s, and Io, the magnitude of the current through the loop at time t = to = 0.425 s, is true? ?max and Imax are defined to be the maximum values these quantites achieve during the complete rotation.

Please help solve ! I figured out the first parts of this problem but I cannot get the right numbers for the questions below A conducting wire formed in the shape of a right triangle with base b = 30 cm and height h = 55 cm and having resistance R = 2 ?, rotates uniformly around the y-axis in the direction indicated by the arrow (clockwise as viewed from above (looking down in the negative y-direction)). The triangle makes one complete rotation in time t = T = 1.7 seconds. A constant magnetic field B = 1.3 T pointing in the positive z-direction (out of the screen) exists in the region where the wire is rotating. At time t = 0, the wire is positioned as shown. What is the magnitude of the magnetic flux ?1 at time t = t1 = 0.6375 s? What is I1, the induced current in the loop at time t = 0.6375 s? I1 is defined to be positive if it flows in the negative y-direction in the segment of length h. Which of the following statements about ?o, the magnitude of the flux through the loop at time t = to = 0.425 s, and Io, the magnitude of the current through the loop at time t = to = 0.425 s, is rue? ?max and Imax are defined to be the maximum values these quantites achieve during the complete rotation.

Explanation / Answer

3)flux = A*B*cos(wt)

= 0.3*0.55*1.3*cos(3.696*0.6375)/2

=-0.07

b)current = Imax*sin(wt)

= .198*sin(3.696*0.6375) = .14 A

c) cos(3.696*0.452) = 0

and sin(3.696*0.452) = 1

so

?o = 0 and Io = Imax

d)?max remains the same and Imax doubles

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