circular motion

Question 1

what is the equation for angular velocity, using: v and r?
CM

Answer 1

ω = v / r
or
v = ωr

where:
• ω = angular velocity
• v = velocity
• r = distance (like the radius)

units: radian s^-1

this is the link between angular velocity and linear velocity

Question 2

what is the equation for angular velocity, using: f?
CM

Answer 2

ω = 2πf

where:
• f = number of revolutions (whole seconds) per second

Question 3

what is the equation for angular velocity, using: T?
CM

Answer 3

ω = 2π / T

Question 4

what is the equation for centripetal force, using: m, v and r?
CM

Answer 4

F = m(v^2) / r

^use this if looking for linear velocity

Question 5

what is the equation for centripetal force, using: m, ω and r?
CM

Answer 5

F = m(ω^2)r

^use this if looking for rotational speed, T or f

Question 6

what is the equation for acceleration, using: v and r?
CM

Answer 6

a = v^2 / r

Question 7

what is the equation for acceleration, using: ω and r?
CM

Answer 7

a = (ω^2)r