Chapter 17: Circular Motion

Question 1

Angular displacement

Answer 1

Theta = arc length / radius

Question 2

Angular velocity

Answer 2

W = delta angular displacement / delta time

Question 3

Linear velocity

Answer 3

Angular velocity x radius

Question 4

Acceleration (full working)

Answer 4

Theta = delta v/ v 
Divide both sides by delta t 
V/t = v delta angular displacement/ t
V/t is acceleration 
Angular displacement/ t is angular velocity 
A = v w 
v = wr
a = v squared/ r
a = w squared r

Question 5

Newton’s 2nd Law of Motion

Answer 5

F = ma 
A = v squared/ r 
F = m v squared/ r 
F = m r w

Question 6

Orbital speed( full working)

Answer 6

F = m v squared/ r 
Mg = m v squared/ r 
g = v squared/r 
v = sqr(g x r)