Consider a flat metallic isosceles triangular plate of unknown thickness of uniform mass density 119.9968327023 kilogram per square meter, that is rotating at a constant angular acceleration from an initial zero angular displacement, within a plane formed from the cross product of the two equal sides of the isosceles triangle which form an acute included angle of 0.7329557161 radian that is coincident with the centre of mass of the metallic plate, about an axis of rotation perpendicular to this plane that is passing through the vertex formed from the intersection of the two equal sides of the isosceles triangle opposite to the base of the isosceles triangle. The initial kinematic state of the metallic plate has a kinetic energy of 0.6338308326 joule with an angular velocity of 9.7400159808 radian per second such that the metallic plate rotates in such a way that the centre of mass of the metallic plate travels a distance of 0.0864299696 meter within the plane of rotation so that the final kinetic energy is 3.1466310947 joule. Determine the rotational angular acceleration ac/[rad. s²] of the metallic plate about the axis of rotation?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Consider a flat metallic isosceles triangular plate of unknown thickness of uniform mass
density 119.9968327023 kilogram per square meter, that is rotating at a constant angular
acceleration from an initial zero angular displacement, within a plane formed from the cross
product of the two equal sides of the isosceles triangle which form an acute included angle of
0.7329557161 radian that is coincident with the centre of mass of the metallic plate, about an
axis of rotation perpendicular to this plane that is passing through the vertex formed from the
intersection of the two equal sides of the isosceles triangle opposite to the base of the
isosceles triangle. The initial kinematic state of the metallic plate has a kinetic energy of
0.6338308326 joule with an angular velocity of 9.7400159808 radian per second such that the
metallic plate rotates in such a way that the centre of mass of the metallic plate travels a
distance of 0.0864299696 meter within the plane of rotation so that the final kinetic energy is
3.1466310947 joule.
Determine the rotational angular acceleration ac/[rad. s²] of the metallic plate about the
axis of rotation?
Transcribed Image Text:Consider a flat metallic isosceles triangular plate of unknown thickness of uniform mass density 119.9968327023 kilogram per square meter, that is rotating at a constant angular acceleration from an initial zero angular displacement, within a plane formed from the cross product of the two equal sides of the isosceles triangle which form an acute included angle of 0.7329557161 radian that is coincident with the centre of mass of the metallic plate, about an axis of rotation perpendicular to this plane that is passing through the vertex formed from the intersection of the two equal sides of the isosceles triangle opposite to the base of the isosceles triangle. The initial kinematic state of the metallic plate has a kinetic energy of 0.6338308326 joule with an angular velocity of 9.7400159808 radian per second such that the metallic plate rotates in such a way that the centre of mass of the metallic plate travels a distance of 0.0864299696 meter within the plane of rotation so that the final kinetic energy is 3.1466310947 joule. Determine the rotational angular acceleration ac/[rad. s²] of the metallic plate about the axis of rotation?
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