Browse Definitions :
Definition

degree per second squared

The degree per second squared (symbolized deg/s 2 or deg · s -2 ) is an alternative unit of angular (rotational) acceleration magnitude, which is the rate of change of angular speed or velocity. The angular acceleration vector also has a direction component that can be defined in either of two senses: counterclockwise or clockwise.

The average angular acceleration magnitude can be obtained by evaluating an object's instantaneous angular speed (in degrees per second) at two different points t 1 and t 2 in time, and then dividing the distance by the span of time t 2 - t 1 (in seconds). Suppose the instantaneous angular speed at time t 1 is equal to u 1 , and the instantaneous angular speed at time t 2 is equal to u 2 . Then the average angular acceleration magnitude b avg (in degrees per second squared) during the time interval [ t 1 , t 2 ] is given by:

b avg = ( u 2 - u 1 ) / ( t 2 - t 1 )

Instantaneous angular acceleration magnitude is more difficult to intuit, because it involves an expression of rotational motion over an "infinitely short" interval of time. Let p represent a specific point in time. Suppose an object is in rotational motion at about that time. The average angular acceleration magnitude can be determined over increasingly short time intervals centered at p , for example:

[ p -4, p +4]
[ p -3, p +3]
[ p -2, p +2]
[ p -1, p +1]
[ p -0.5, p +0.5]
[ p -0.25, p +0.25]
.
.
.
[ p - x , p + x ]
.
.
.

where the added and subtracted numbers represent seconds. The instantaneous angular acceleration magnitude, b inst , is the limit of the average angular acceleration magnitude as x approaches zero. This is a theoretical value, because it can be obtained only by inference from instantanous speed values determined at the starting and ending points of progressively shorter time spans.

In the complete sense, angular acceleration is a vector quantity having direction as well as magnitude, and representing the rate of change of angular velocity. Suppose, for example, that a wheel's rate of rotation is increasing at 20 deg/s 2 in the counterclockwise sense; this might be the case for a car or truck moving from right to left (relative to the viewer) with increasing speed. This would produce an angular acceleration vector with a magnitude of 20 deg/s 2 , pointing toward the viewer in line with the wheel's axle. But if rate of rotation were decreasing at 20 deg/s 2 in the counterclockwise sense (the same car or truck slowing down while moving from right to left), the angular acceleration vector would have a magnitude of 20 deg/s 2 in the opposite direction, that is, away from the viewer in line with the wheel's axle.

Also see angular acceleration , angular degree , radian per second squared , SI , and Table of Physical Units .

This was last updated in September 2005

Start the conversation

Send me notifications when other members comment.

Please create a username to comment.

-ADS BY GOOGLE

File Extensions and File Formats

Powered by:

SearchCompliance

  • Whistleblower Protection Act

    The Whistleblower Protection Act of 1989 is a law that protects federal government employees in the United States from ...

  • smart contract

    A smart contract, also known as a cryptocontract, is a computer program that directly controls the transfer of digital currencies...

  • risk map (risk heat map)

    A risk map, also known as a risk heat map, is a data visualization tool for communicating specific risks an organization faces. A...

SearchSecurity

  • buffer underflow

    Buffer underflow, also known as buffer underrun or buffer underwrite, is a threat to data that typically occurs when the ...

  • digital signature

    A digital signature is a mathematical technique used to validate the authenticity and integrity of a message, software or digital...

  • denial-of-service attack

    A denial-of-service attack is a security event that occurs when an attacker prevents legitimate users from accessing specific ...

SearchHealthIT

SearchDisasterRecovery

  • virtual disaster recovery

    Virtual disaster recovery is a type of DR that typically involves replication and allows a user to fail over to virtualized ...

  • tabletop exercise (TTX)

    A tabletop exercise (TTX) is a disaster preparedness activity that takes participants through the process of dealing with a ...

  • risk mitigation

    Risk mitigation is a strategy to prepare for and lessen the effects of threats faced by a data center.

SearchStorage

  • secondary storage

    Secondary storage is storage for noncritical data that does not need to be frequently accessed.

  • Pure Storage

    Pure Storage is a provider of enterprise data flash storage solutions designed to substitute for electromechanical disk arrays.

  • yobibyte (YiB)

    A yobibyte (YiB) is a unit of measure used to describe data capacity as part of the binary system of measuring computing and ...

Close