Angular expression of a disk drive is given by θ(t) = a + bt + ct3 ,where a, b and c areconstants. t is in seconds and θ is given in radian. At the instant t = 0, θ = π/4 and angularvelocity is 2 rad/s . At t = 1.5 s, angular acceleration is 1.25 rad/s2 . According to thisinformation, (a) find constants a,b and c with corresponding units. (b) When angle is θ = π/4 ,what is the angular angular acceleration? (c) When angular acceleration is 3.5 rad/s2 what are the angle θ and angular velocity?
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.
Angular expression of a disk drive is given by θ(t) = a + bt + ct3 ,where a, b and c areconstants. t is in seconds and θ is given in radian. At the instant t = 0, θ = π/4 and angularvelocity is 2 rad/s . At t = 1.5 s,
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