Lecture 8 LinAngKin Relationships

Question 1

What is arc length?

Answer 1

The distance that a point on a rotating object (or an object travelling along a circular path) travels

Question 2

Arc length (s) is a ______ and therfore a ______ value

Answer 2

Distance, scaler

Question 3

What is arc length influenced by? (2)

Answer 3

1. Amount of rotation
2. The distance the point is from the centre of rotation (the radius (r))

Question 4

Arc length equation

Answer 4

S=r0 0 must be expressed in radians

Question 5

The linear velocity of a point on a rotating object (or an object following a circular path) is always pointing ________ to the ___ of the motion
- this is known as ______ velocity (Vt)

Answer 5

Tangentially, arc

Tangential velocity

Question 6

How is the tangential velocity influenced by? (2)

Answer 6

1. How fast the object is rotating (the angular velocity(w))
2. How far the point is away from the centre of rotation (Radius (r))

Question 7

Tangential velocity equation

Answer 7

Vt = rw

Question 8

What can angular acceleration be broken down into?

Answer 8

Two perpendicular vector components
1. Tangential acceleration (aT)
2. Radial acceleration (aR)

Question 9

What is tangential acceleration (aT) and formula ?

Answer 9

Linear acceleration directed perpendicular to the rotating segment

aT = alpha(a)(r)

Question 10

What is radial acceleration (aR) and formula?

Answer 10

Linear acceleration directed along the rotating segment to toward the axis of rotation

aR = omega (w)2 (r)

Question 11

Total linear acceleratiom

Answer 11

The total linear acceleration equals the vector sum of the tangential acceleration and radical acceleration (determined using Pythagorean theorem)

a2 = aT2 + aR2