They are perpendicular components of the actual acceleration vector of any given point on a rotating body.
a = r*alpha refers to TANGENTIAL acceleration, that which causes change in speed, and is aligned or opposite to the point's velocity.
a = r*omega^2 refers to CENTRIPETAL acceleration, that which causes change in direction, and is perpendicular to the point's velocity.
Of course, total actual acceleration is the VECTOR SUM of both of these components:
a = a_tangential + a_ centripetal
To find magnitude of actual acceleration, use Pythagorean theorem:
|a| = sqrt(a_tangential^ + a_centripetal^2)
Copyright © 2024 1QUIZZ.COM - All rights reserved.
Answers & Comments
Verified answer
They are perpendicular components of the actual acceleration vector of any given point on a rotating body.
a = r*alpha refers to TANGENTIAL acceleration, that which causes change in speed, and is aligned or opposite to the point's velocity.
a = r*omega^2 refers to CENTRIPETAL acceleration, that which causes change in direction, and is perpendicular to the point's velocity.
Of course, total actual acceleration is the VECTOR SUM of both of these components:
a = a_tangential + a_ centripetal
To find magnitude of actual acceleration, use Pythagorean theorem:
|a| = sqrt(a_tangential^ + a_centripetal^2)