Motion in a circle Flashcards
1
Q
What is angular displacement
A
θ = s/r (s is length of arc and r is radius)
2
Q
What is the definition of a radian
A
1 radian is defined as the angle subtended at the centre of a circle by an arc equal in length to the radius of the circle
3
Q
What is angular velocity
A
Angular velocity ω is defined as the rate of change of angular displacement
ω = v/r v = ωr ω = 2π/T
4
Q
What is centripetal acceleration
A
a = (v^2)/r = rω^2
5
Q
What is centripetal force
A
F = (mv^2)/r = mrω^2
It is just a resultant force directed to the centre of the circle to provide the acceleration
6
Q
What is the tension in a string in non-uniform motion in a circle
A
T = (mv^2)/r + mg(cosθ)
