By using the Bisection method to find the root (only one root) of the function: f(x) = 8x3 – 18x2 + x = 0 from the bracket -10 to 10.0. Use only 10 iterations and give the value of the root.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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By using the Bisection method to find the root (only one root) of the function: f(x) = 8x3 – 18x2 + x = 0
from the bracket -10 to 10.0. Use only 10 iterations and give the value of the root.

The armature of a two-pole DC machine has 30 slots, each slot has 4 conductors each. During its
operation, only 75% of the conductors are directly under the pole. Each pole measures 2 inches
by 3 inches and produces ten million maxwells of flux. The armature core is 12 inches in length
and 3.5 inches in diameter. The total resistance of the winding is 2 ohms.
A)Determine the frequency of the machine when running at 3600 RPM.
B) Determine the total generated voltage if the armature is running at 1000 RPM and its
winding is simplex lap connected.
C) Determine the total generated voltage if the armature is running at 1000 RPM and its
winding is simplex wave connected.
D)Determine the total force tending to rotate the armature core in lbs. if the winding is simplex
lap connected.
E) Determine the total torque exerted by the armature core in ft-lb. if the winding is simplex lap
winding.
F) Determine the total generated voltage if the armature is moving at a velocity of 10 m/s.
Transcribed Image Text:The armature of a two-pole DC machine has 30 slots, each slot has 4 conductors each. During its operation, only 75% of the conductors are directly under the pole. Each pole measures 2 inches by 3 inches and produces ten million maxwells of flux. The armature core is 12 inches in length and 3.5 inches in diameter. The total resistance of the winding is 2 ohms. A)Determine the frequency of the machine when running at 3600 RPM. B) Determine the total generated voltage if the armature is running at 1000 RPM and its winding is simplex lap connected. C) Determine the total generated voltage if the armature is running at 1000 RPM and its winding is simplex wave connected. D)Determine the total force tending to rotate the armature core in lbs. if the winding is simplex lap connected. E) Determine the total torque exerted by the armature core in ft-lb. if the winding is simplex lap winding. F) Determine the total generated voltage if the armature is moving at a velocity of 10 m/s.
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