Linear and rotational quantities -- up to angular momentum

In the first 8 weeks of this course, we defined a number of quantities in the physical world and used them to understand the behavior of interacting objects:

• linear quantities like position, velocity and acceleration
• 1-D kinematic equations
• dynamic quantities like force, mass and acceleration
• Newton's Laws of Motion

In the past 2 weeks, we have found analogs for these quantities in the rotational world:

• angular quantities like angular position, angular velocity and angular acceleration
• 1-D kinematic equations of rotation
• dynamic quantities like torque, moment of inertia and angular acceleration
• Newton's Second Law in rotation

Linear			Rotational
position	x	(m)	angular position	θ	(rad)
velocity	v	(m/s)	angular velocity	ω	(rad/s)
acceleration	a	(m/s2)	angular acceleration	α	(rad / s2)
acceleration	a	(m/s2)	angular acceleration	α	(rad/s2)
mass	m	(kg)	moment of inertia	I	(kg * m2)
force	F	(N) = (kg * m / s2)	torque	τ	(N*m) = (kg * m2 / s2)
momentum	p	(kg*m/s)	angular momentum	L	(kg*m2/s)

This week, we continue the process, defining the angular quantities which are the equivalent to momentum.

Copyright © Michael Richmond. This work is licensed under a Creative Commons License.