L13;C11

Question 1

What is angular motion?

Answer 1

This is motion about an axis of rotation

Question 2

What is an axis of rotation?

Answer 2

This is the line that is perpendicular to the plane in which the rotation occurs

Question 3

What kind of motion can you have with curves and angles?

Answer 3

Linear and angular

Question 4

Provide me the definitions of the following:

Angular displacement
Angular distance
Angular velocity
Angular acceleration

Answer 4

Angular displacement= change from initial position to final angular position
Angular distance= total distance of angular change. The sum of distance traveled
Angular velocity= change in angular position over a given time
Angular acceleration= change in angular velocity over a given time

Question 5

True or false, angles are considered a unit. Support your answer.

Answer 5

False, angles are unit-less. They are measured in relation to circles. An angle is measured as its ratio of arc length and radius.

Question 6

What are the formulas for measuring an angle in:

Rads
Rev
Deg

Answer 6

Rads- θ=s/r
Rev- θ=(s/r)(1/2pi)
Deg- θ= (s/r)(360/2pi)

Question 7

How much does 1 radian equal in degrees?

Answer 7

57.3 degrees

Question 8

True or false: radians are dimensionless

Answer 8

True

Question 9

At 180 degrees, how many rads and revs is that equivalent to? If you want to add to each factor, how much do you do it by?

Answer 9

180=Pi rads= 1/2 rev

You ADD 90 degrees to 180, add Pi/2 to rads and 1/4th to your revs

Question 10

If reference axis is fixed, than angular position is _________
If reference axis is capable of moving, than angular position is ______

Answer 10

Absolute, relative

Question 11

Segment angles are ______

Joint angles are _______

Answer 11

Absolute, relative

Question 12

What is angular distance? What kind fo quantity is it and what is it measured in?

Answer 12

Angular distance (ϕ) is the sum of all angular change undergone by a rotating object. This has no associated direction and is a scalar quantity. Measured in rads, degs, revs

Question 13

What is angular displacement? Webcast it formula and quantity of measurement?

Answer 13

This is the change in angular position from θ2-θ1 of a rotating object. This is defined as using magnitude and direction and is a vector quantity.

Question 14

Clockwise motions are ______

Counterclockwise motions are ________

Answer 14

Negative, positive

Question 15

What is angular velocity? What is its formula? What kind of quantity is it?

Answer 15

Angular velocity is the change in displacement (θ) over the change in the time interval. The formula is:

ω= Δθ/ΔT

This is a vector quantity since it has specified direction and magnitude

Question 16

What is angular speed? What is its formula? What kind of quantity is it?

Answer 16

Angular speed is the angular distance/amour of time it took to cover that distance.

Angular distance has no associated direction, therefore angular speed is a scalar quantity.

Question 17

What is angular acceleration? What’s it formula and quantity of measurement? Can the direction be positive, negative or zero?

Answer 17

Angular acceleration is the change in angular velocity (Δω) over a given time (ΔT). This is a vector quantity and its formula is:

α = Δω/ΔT

The direction can be positive, negative, and zero depending on motion and change in velocity

Question 18

_______ ________ is angular motion about an axis that is OUTSIDE the rotating object

________ ________ is angular motion about an axis at INFINITE distance from a rotating object

Answer 18

Curvilinear motion

Rectangle motion

Question 19

Curvilinear motion of a point can be related to angular motion of an object using the following formula:

Answer 19

S=rϕ

This must be in radians are S and r must be the same units

Question 20

The larger the radius of rotation, the greater the ________ _______ traveled by a point on a rotating body

Answer 20

Curvilinear distance

Question 21

What dictates the connection between the angles and the distance?

Answer 21

The radius

Question 22

Longer distances= longer ____

Answer 22

Arc

Question 23

What is the formula for calculating linear velocity of a point rotating around an axis of rotation?

Answer 23

Vt= rxω

Question 24

When an object travels in a circular path, what is the radial velocity? Why?

Answer 24

Vr=0

When it travels around a circle, the radius’ velocity has to be zero or else the path would not be a perfect circle; since the velocity would be changing the displacement over time

Question 25

The transverse axis is perpendicular to what axis? What is it parallel to?

Answer 25

The transverse axis is perpendicular to the radial axis and is parallel to the tangent line when the motion path is circular

Question 26

What factor both relates linear and angular velocity to linear and angular displacement?

Answer 26

The radius

Question 27

Explain what the transverse component of acceleration (αt) is and its formula.

Answer 27

The transverse component is the acceleration factor that represents the rate of change of linear speed: αt= Δv/ΔT m/s^2

Question 28

What can the transverse acceleration be related to? Provide formulas to explain.

Answer 28

Transverse acceleration (αt) can be related to angular acceleration (α) αt=rxα [ if ω does not equal 0 and α does not equal 0] αt=0 [if ω is constant and α =0]

Question 29

Explain the radial component of acceleration (αr)

Answer 29

This represents a change in direction, this is refereed to the centripetal acceleration αr=Vt^2 [m/s^2] OR αr= rxω^2