torque and rotational motion unit 7

Question 1

Rotational motion

Answer 1

the movement of an object that spins around an axis

ex. pinwheels, the spinning of the earth, etc.

Question 2

Angular position

Answer 2

the degree of the object from the axis’s horizontal point

Measured in radians

Question 3

Arc length

Answer 3

the distance the particle or object has traveled along its circular path

Variable = s

Question 4

Eqn for radians

Answer 4

radians = s/r

Question 5

Revolution

Answer 5

When a particle makes a full movement around the circle. Radian (1 Revioltion) = 2pi rad

Question 6

Angular Velocity

Answer 6

the angular displacement over a period of time. Particles w higher angular velocity will undergo higher angular displacement during uniform circular motion.

Variable = w

Question 7

Eqn for angular velocity

Answer 7

w = angular displacement/time

Question 8

Angular displacement for unifrom circular motion

Answer 8

Of = Oi = ONET = w*t

Question 9

Angular speed

Answer 9

the absolute value of the angular velocity.

= 2pi rad/T

Question 10

Linear and angular speed

Answer 10

v=wr

Question 11

Rigid body

Answer 11

a body that maintains a constant shape

Question 12

Rigid body velocity

Answer 12

All points thorughout the rigid body object in uniform circular motion have the same angular velocity but different linear velocities

Question 13

angular acceleration

Answer 13

the rate of change of angular velocity

Question 14

Eqn for angular acceleration

Answer 14

w/t

Question 15

Linear and circular motion

Answer 15

Switch x with rad, v with w, and a with alpha to convert the linear motion eqns into circular motion eqns

(CAAKE)

Question 16

Tangential Acceleration

Answer 16

the component of acceleration at the tangent point of the circle

Question 17

Eqn for tangential acceleration

Answer 17

a= wr/t or a = alpha * radius

Question 18

Torque

Answer 18

the rotational equivalent of force

Question 19

Eqn for torque

Answer 19

T= r F sin theta

Question 20

Radial Line

Answer 20

the line starting at the pivot and extending through the point at which the force is applied

Question 21

Moment Arm

Answer 21

the perpendicular distance from a reference point to the line of action of the force

Question 22

Positive and negative torque

Answer 22

+ will be in the CCW direction while
- will be in the CW direction

Question 23

Center of Gravity

Answer 23

the point where the net force of gravity acts on an object

Question 24

Torque and angular acceleration

Answer 24

torque causes angular acceleration a=t/mr^2

Question 25

Moment of inertia

Answer 25

l=m1r1^2+m2r2^2+m3r3&2+…

Question 26

Newton’s second law of rotation

Answer 26

a=tnet/l

Question 27

Moment of inertia is the rotational equivalent of

Answer 27

Mass

Question 28

Rolling motion

Answer 28

A combination motion where an object moving about an axis is also moving in for a straight line. For an object that moves without slipping, v=wR