Forces, Circular Motion, and Gravitation

Question 0

When theta small, sin(theta) is… and cos(theta) is…

Answer 0

Sin(theta) is small

Cos(theta) is large

Question 1

When theta large, sin(theta) is… and cos(theta) is…

Answer 1

Sin(theta) is large

Cos(theta) is small

Question 2

Is angular velocity larger or smaller in the center of a circle compared to the edge of a circle?

Answer 2

Angular velocity is the same anywhere on a spinning object (all angular variables are constant over entire surface of spinning object)

…unless tangential velocity is constant while radius changes

???

Question 3

Is tangential velocity larger or smaller in the center of a circle compared to the edge of a circle?

Answer 3

Tangential velocity is smaller in the center because it requires less distance to be covered in one revolution, so one revolution will be completed faster (whyyyy??)

Question 4

Force of attraction equation?

Answer 4

F = [ GM(1)M(2) ] / r^2

G = 6.67 x 10^-11 N*m^2/kg^2

For objects on Earth, force of attraction is basically force of gravity on that object

Question 5

Convert degrees to radian

Answer 5

Rad = degrees * ( pi / 180 degrees)

Question 6

Relation of arc length to radius

Answer 6

Arc length = radius * (theta in radians)

Question 7

Centripetal acceleration is equal to…

Answer 7

A(c) = v^2 / r = r * w^2 (angular velocity)

V decreases when r decreases
W decreases when r increases