At t= 0, a flywheel has an angular velocity of 4.7 rad/s, aconstant angular acceleration of -0.25 rad/s2, and a reference lineat u0= 0. (a) Through what maximum angle umax will the referenceline turn in the positive direction? What are the (b) first and(c) second times the reference line will be at ? At what(d) negative time and (e) positive time will the reference line beat 10.5 rad? (f) Graph u versus t, and indicate your answers.
Angular speed, acceleration and displacement
Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.
Angular Position
Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.
At t= 0, a flywheel has an
constant
at u0= 0. (a) Through what maximum angle umax will the reference
line turn in the positive direction? What are the (b) first and
(c) second times the reference line will be at ? At what
(d) negative time and (e) positive time will the reference line be
at 10.5 rad? (f) Graph u versus t, and indicate your answers.
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