Rotational Motion Flashcards
How do you get from displacement -> velocity -> acceleration?
Differentiate
How do you get from acceleration -> velocity -> displacement?
Integrate
What is the formula for arc length?
s = r Ø
What is the angular equivalent of displacement (s)?
Ø (rad)
What is the angular equivalent of v (ms-1)?
ω (rads-1)
What is the angular equivalent of a (ms-2)?
α (rads-2)
What is the time period, T, when considering angular motion?
The time for one revolution
What is the frequency, F, when considering angular motion?
Revolutions per second
What does V stand for when an object is rotating?
The linear tangential velocity
What is the centripetal acceleration?
Acceleration towards the centre of rotation
How would you work out the tension in a rope of an object travelling in a circle?
Calculate the centripetal force as the tension in the rope provides the centripetal force
What provides the centripetal force when a car takes a corner?
The frictional force
How do you calculate the max friction when an object is taking a corner?
Calculate the centripetal force with V and omega being the max speed
What does a banked track allow?
A vehicle to take a corner with no frictional force
What is the definition of moment of inertia?
Measure of resistance to angular acceleration about a given axis
What is the moment of inertia dependant on?
Mass
Distribution of mass about axis of rotation
What is Torque?
The turning effect of a force
What is the formula for Torque when force is applied perpendicular?
T = F r
W hat is the formula for Torque when force is applied at an angle?
T = F r sinØ
What does an unbalanced torque produce?
An angular acceleration about an axis of rotation?
How is frictional torque calculated?
Unbalanced torque = applied torque - frictional torque
When is total angular momentum conserved?
When two or more objects collide in the absence of external torques.
How is total kinetic energy calculated?
EK total = EK translational + EK rotational
EK total = 1/2 mv2 + 1/2 I omega2
How is EP for an object rolling down a slope calculated?
EP = EK rotational + EK translational
mgh = 1/2 I omega2 + 1/2 mv2
