Uniformly Accelerated Circular Motion Model- Model Development & Motion

Sections 8.1 & 8.2

What are the assumptions of the uniformly accelerated circular motion model

Particle, extended object, 2D circular motion, constant angular acceleratio

What does uniformly accelerated circular motion mean?

Uniformly= constant

Accelerated= change in angular velocity

Circular= motion along a circular path

Motion= angular position is changing

What is the average angular acceleration?

The change in angular velocity is divided by the elapsed time

What is the symbol and SI unit of average angular acceleration?

𝛼 (upper bar)

radian per second squared

What is the instantaneous angular acceleration?

The angular acceleration at an instant in time

What is the symbol and SI unit of instantaneous angular acceleration

𝛼

Radian per second squared

What is tangential acceleration?

The linear acceleration of a point moving along a circular path

What is the symbol and SI unit of tangential acceleration?

a_t

Meter per second squared

What symbols did we define for the angular position, angular velocity, and angular acceleration?

𝜽, 𝝎, and 𝜶

For uniformly accelerated circular motion, what is constant?

Angular acceleration, 𝜶

When calculating the tangential acceleration, what unit must you use for angular acceleration?

Radian

What is common about the three equations that relate angular quantities to linear quantities?

The angular quantity is multiplied by the radius

The angular quantity must be in radians