Rotational Dynamics Flashcards
Torque
Turning effect of a force.
Torque equation (when perpendicular)
T=Fr
Where T is torque in Nm
F is force in N and r is distance from axis of rotation
Torque equation when at an angle to object
T = FrsinØ
Where Ø is angle between object and force
Torque in equilibrium
T= [E] opposing torques
Force and angular acceleration equation
F=mra
F is force in N
m is mass in kg
r is radius in m
a is angular acceleration in rads^-2
Moment of inertia unit and symbol
I and kgm^2
Torque and inertia equation
T=Ia
Where T is torque in Nm
I is inertia in kgm^2
and a is angular acceleration in rads^-2
Moment of inertia and radius equation
I = mr^2
Where I is moment of inertia in kgm^2
m is mass in kg
r is radius in m
For collection of masses total moment of Inertia ie equal to
Sum of all the moments of inertia
What happens when an unbalanced torque is applied to an object
It will cause a change in the rotational motion of an object.
Definition of moment of inertia
a measure of an objects resistance to angular acceleration about a given axis.