This assignment is intended to ask more varied questions about the nature of rotational velocity, especially in 3D I) If an object is rotating about the y axis at a rate of 2 raa/s, find the velocity of the point (2,3,7)m on the object. 2) If an object has an axis of rotation that passes through points A(1,2,6) and B(-1,2,4), and is rotating at 20 revolutions per minute, find the velocity of point C(3,6,2)m due to this rotation 3) An airplane has multiple angles that are used to track orientation of the craft. If the airplane is pitching at a rate of 5° per second (ĵ axis) and yawing at a rate of 8° per second (k axis), determine the velocity at the front tip of the cockpit, located at (12,0,2)m

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter12: Rotation I: Kinematics And Dynamics
Section: Chapter Questions
Problem 60PQ
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For #2, the position vector goes from the axis to point C. It does not start on the origin.

This assignment is intended to ask more varied questions about the nature of rotational
velocity, especially in 3D
I) If an object is rotating about the y axis at a rate of 2 raa/s, find the velocity of the point
(2,3,7)m on the object.
2) If an object has an axis of rotation that passes through points A(1,2,6) and B(-1,2,4),
and is rotating at 20 revolutions per minute, find the velocity of point C(3,6,2)m due to
this rotation
3) An airplane has multiple angles that are used to track orientation of the craft. If the
airplane is pitching at a rate of 5° per second (ĵ axis) and yawing at a rate of 8° per
second (k axis), determine the velocity at the front tip of the cockpit, located at
(12,0,2)m
Transcribed Image Text:This assignment is intended to ask more varied questions about the nature of rotational velocity, especially in 3D I) If an object is rotating about the y axis at a rate of 2 raa/s, find the velocity of the point (2,3,7)m on the object. 2) If an object has an axis of rotation that passes through points A(1,2,6) and B(-1,2,4), and is rotating at 20 revolutions per minute, find the velocity of point C(3,6,2)m due to this rotation 3) An airplane has multiple angles that are used to track orientation of the craft. If the airplane is pitching at a rate of 5° per second (ĵ axis) and yawing at a rate of 8° per second (k axis), determine the velocity at the front tip of the cockpit, located at (12,0,2)m
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