angular acceleration

Also found in: Dictionary, Thesaurus, Medical, Legal, Wikipedia.

angular acceleration

See angular velocity.
Collins Dictionary of Astronomy © Market House Books Ltd, 2006
The following article is from The Great Soviet Encyclopedia (1979). It might be outdated or ideologically biased.

Angular Acceleration


a vector quantity that characterizes the rate of change of the angular velocity of a rigid body.

In the case of rotation about a fixed axis, the angular acceleration and angular velocity can be treated as scalars. If the angular velocity (angular speed) ω to increases or decreases uniformly, the angular acceleration is ∊ = Δω/Δt, where Δω is the increase in ω occurring during the time interval Δt. In the general case of rotation about a fixed axis, ∊ = dω/dt = d2φ/dt2, where φ is the rotation angle of the body.

The angular acceleration vector e is aligned with the axis of rotation; this vector points in the direction of the angular velocity vector ω for accelerated rotation and in the opposite direction for decelerated rotation. In the case of rotation about a fixed point, the angular acceleration is defined as the first derivative of the angular velocity ω with respect to time—that is, ∊ = dω/dt—and is directed along the tangent to the hodograph of ω at the corresponding point. Angular acceleration has the dimension T–2, where T is time.

The Great Soviet Encyclopedia, 3rd Edition (1970-1979). © 2010 The Gale Group, Inc. All rights reserved.

angular acceleration

[′aŋ·gyə·lər ak‚sel·ə′rā·shən]
The time rate of change of angular velocity.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
The range of actual velocity is [+ or -]2000 rpm and that of angular acceleration is [+ or -]2972 rad/[s.sup.2].
A controller is synthesized to decouple the half-car suspension into independent front and rear quarter-car suspensions, by controlling the yielded unsprung mass damper forces in response to the online measured pitch angular acceleration.
As shown in Figure 4 and Table 5, the SGF provides about 28% more accurate angular acceleration than the results using the backward difference.
The angle of flexion, angular acceleration and angular velocity of fin's tail;
Maximal angular acceleration is [alpha]" = 40000 [degrees]/[s.sup.2] = 698 rad/[s.sub.2] and construction offset is h = 0,03 m.
The angular acceleration is induced by the thrust imbalance (Roshanian and Talebi 2008).
The torque ([tau]) due to gravity leads to an angular acceleration away from balance, [??] =(g / [l.sub.eff]) sin [theta], from a straightforward application of Newton's Second Law for rotations: [summation][TAU] = I[??] == Mg[l.sub.eff] sin [theta] = M[l.sub.eff] [??].
From Figures 4(a), 4(b), 5(a), 5(b), 6(a) and 6(b) we see that the RMS value and maxima of the car body lateral acceleration, yaw angular acceleration and roll angular acceleration in Model-1 and Model-3 are a factor of 10 greater than those values in Model-2.
The angular acceleration of wheel: a) 1; b) 2; c) 3;