exam 3 3600

Question 1

displacement

Answer 1

change in position

Question 2

velocity

Answer 2

change in position over time

Question 3

acceleration

Answer 3

change in velocity over time

Question 4

angular displacement

Answer 4

change in angular position of a segment or any point on the rotating segment; measured in degrees, revolutions, or radians

Question 5

angular velocity

Answer 5

the rate of angular motion

ω = Δφ/Δt

Question 6

peak rate of motion

Answer 6

maximum rate of motion achieved

Question 7

tangential linear velocity

Answer 7

linear velocity of a point on a rotating segment

Question 8

angular linear relationship

Answer 8

v = r ω

Question 9

angular acceleration

Answer 9

a change in magnitude and/or direction of the angular velocity (Δω) vector with respect to time (Δt)

α = Δω/Δt

Question 10

average angular acceleration

Answer 10

change in angular velocity divided by the entire interval over which it changed

Question 11

tangential linear acceleration

Answer 11

linear acceleration of a point of a rotating segment

a t = r α

Question 12

centripetal acceleration

Answer 12

acceleration caused by change in direction of the velocity vector
a r = ω 2 r

Question 13

centric force

Answer 13

force directed through the center of the object

Question 14

eccentric force

Answer 14

force applied in such a way that the line of action does not pass through the center of mass

Question 15

torque/moment

Answer 15

tendency of an eccentric force to rotate an object around an axis; depends on 1) magnitude of externally applied force, 2) distance from force to axis of rotation.
T = F d

Question 16

moment arm

Answer 16

perpendicular distance b/w the axis of rotation and the line of action of the applied force

Question 17

inertia

Answer 17

resistance of a system to having its state of motion changed by application of a force

Question 18

rotational inertia

Answer 18

the resistance of an object to having its state of angular motion changed; mass and mass distribution are factors

Question 19

moment of inertia

Answer 19

mathematical relationship of mass (m i ), mass distribution (r i 2 ), and rotational inertia
I = Σm i r i 2

Question 20

momentum

Answer 20

a system’s quantity of motion

Question 21

angular momentum

Answer 21

changes in angular momentum are directly related to Newton’s first two laws of motion

L a = I a ω a

Question 22

principle of conservation of angular momentum

Answer 22

in the absence of externally applied torque, the total angular momentum of a system comprised of multiple bodies remains constant in time

L = I ω

Question 23

angular impulse

Answer 23

interval of torque application

Question 24

work

Answer 24

product of applied force and the magnitude of displacement in the direction of applied force

Question 25

rotational work

Answer 25

the angular displacement of an object about an axis caused by the application of torque

Question 26

power

Answer 26

the amount of mechanical work performed in a given interval

Question 27

rotational power

Answer 27

the amount of angular mechanical work performed during a given interval P a = T w

Question 28

kinetic energy

Answer 28

energy associated with motion

Question 29

rotational kinetic energy

Answer 29

rotational inertia and its angular velocity KE = ½ I ω 2