An artist builds a giant kinetic sculpture: a huge, ciruclar, solid metal ring (

Question

An artist builds a giant kinetic sculpture: a huge, ciruclar, solid metal ring (radius r) mounted verticlaly on a swivel, with a motor that rotates it within the Earth's magnetic field. The sculpture is located in Hawaii where BEarth is constant and uniform (as shown above): parallel to the ground, with magnitude 5.0 x 10-5. (Indluce proper units and Significant figures.)

A. Based on the direction of BEarth shown, the above diagram depicts a view that faces in which geographical direction?

A. Facing toward geographical north B. Facing toward geographical south

C. Facing toward geographical east D. Facing toward geographical west

B. At the moment shown above, the metal ring lies in the plane of the page. If the magnetic flux through the loop at that moment is 5.8 x 10-3Wb, What is the radius of the ring? _____________

C. As the loop's motor starts to rotate the loop about its vertical axis as shwon in the diagram (left edge toward you, and right edge away from you), which direction will a current be induced in the ring? A. Clockwise B. Counter-Clockwise

The loop then continues to rotate so that its magnetic flux drops from 5.8 x 10-3 Wb to zero during 4.0 seconds. (The rate of decrease may not be constant, but don't worry about that.)

D. The magnetic flux will reach zero when the loop has rotated through an angle of ________ from the starting position shown above.

A. 45

Explanation / Answer

A)   A. Facing toward geographical north

B) BA = 5.8 x 10-3

r = (5.8 x 10-3 / 5.0 x 10-5 x pie)1/2

r = 0.607 x 10 = 6.07 m

C)  B. Counter-Clockwise

D) B. 90

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