what is torque?
force which when applied will produce rotational motion
what does rotating force depend on?
how close you apply the force to the center of rotation
what is the equation for linear distance in rotational motion? define all variables
x = θr
- x = linear distance
- θ = angular distance
- r = perpendicular distance to the center of rotation
what is the equation for velocity in rotational motion? define necessary variables
v = rω
- ω = angular velocity
what is the positive direction and negative direction in rotational motion?
- positive = counterclockwise
- negative = clockwise
what is the equation for acceleration in rotational motion? define necessary variables.
a = rα
- α = angular acceleration
what are the equations of motion in rotational motion (3)?
- ω = ω0 + αt
- θ = w0t + 1/2αt^2
- ω^2 = (ω0)^2 + 2αθ
what does rotational inertia (moment of inertia) depend on?
- the mass
what is the equation for force in rotational motion?
F = Iα
what is the symbol for mass in rotational motion?
I
what is the formula for kinetic energy in rotational motion?
KE = 1/2Iω^2
what is the equation for momentum in rotational motion?
p = Iω
what is the equation for rotational inertia (moment of inertia)? define all variables.
I = mr^2
- m = mass
r = perpendicular distance from the axis of rotation
what are the units for rotational inertia (moment of inertia? what type of parameter is it?
- kgm^2
- scaler
what is the equation for torque?
T = Iα
what is the equation for angular momentum?
L = Iω
what is the equation for moment of inertia (I) for discrete masses?
I = Σ mi(ri)^2
what is the equation for moment of inertia (I) for discrete masses? define necessary variables
I = Σ r^2dm
- dm- mass density
what is the equation for one revolution in rotational motion?
T = 2πr / ω
