Basics and Definitions
This type of motion describes an object moving in a circular path around a fixed axis.
Rotational Motion
The symbol θ represents this rotational quantity.
Angular Displacement
State of an object when the net force acting on it is 0N
Translational equilibrium
This quantity measures how hard it is to start or stop rotation.
Moment of Inertia
Torque is the rotational version of this.
Force
The fixed line or point around which an object rotates is called this.
Axis
This symbol (ω) represents the rate of change of angular displacement.
Angular Velocity
State of an object when the sum of all torques acting on it is 0Nm
Rotational equilibrium
Moment of inertia depends on mass and its distance from this.
axis of rotation
What is the equation for Torque?
τ=rFsin(θ)
Our presentation compares these two types of motion to highlight similarities in kinematics and dynamics.
Rotational and Linear motion.
This rotational quantity, symbolized by α, is directly analogous to linear acceleration.
Angular Acceleration
Golden Snitch question: if you answer this correctly, your team automatically wins the game:
Write down the lever arm equation
L=r.sin(theta)
What is the symbol for Moment of Inertia?
I
When pushing a door closer to the hinges, do you produce more or less torque?
less torque
This system of angle measurement (not degrees) is used for rotational kinematics.
Radians
If two particles share the same angular velocity but one has twice the radius, this happens to its tangential speed.
It doubles.
When is an object most stable with respect of its center of mass?
When the COM is closer to its base of support
When a skater pulls their arms in and speeds up, what happens to the moment of Inertia?
Decreases
The distance from the axis to where force is applied is called this.
lever arm
This term refers to an object that does not change shape or size as it undergoes rotational motion.
Rigid Body
A diagram shows one particle moving twice as fast in linear speed while having the same angular velocity as another; this is because this quantity differs between them.
Radius
When is an object most stable with respect of its base of support?
When the base of support is the larger it can be
If the mass is farther from the axis, moment of inertia does this.
It increases.
Applying equal forces at different distances from the pivot can produce different amounts of this rotational effect.
Torque