Rotation vs. Translation
The variable equivalent of distance (x) for rotational motion.
What is theta (θ)?
What is the equation for moment of inertia of a hoop?
I = MR2
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The variable equivalent of velocity (v) for rotational motion.
What is omega (ω)?
What is the equation for moment of inertia of a thin spherical shell?
I = 2/3 MR2
What is the unit for angular momentum?
L
The variable equivalent of acceleration (a) for rotational motion.
What is alpha (α)?
What is the moment of inertia of a hoop with mass 5 kg and radius 2 m?
20 kg.m2
The difference between angular momentum and velocity?
Angular momentum is dependent on mass. Angular velocity isn't.
In the equation for kinetic energy, the rotational equivalent of mass (m).
What is inertia (I)?
What is the moment of inertia of a rod with mass 30 kg and radius 1 m?
2.5 kg.m2
What is the angular momentum of a wheel (solid cylinder) spinning in place with angular velocity of 10 rad/s, mass of 60 g, and a radius of 0.4 m?
4.8 kg-m2/sec
A wheel with a radius of 0.4 m moves at a translational velocity of 10 m/s. What is its angular velocity?
25 radians/second
What is the radius of a solid sphere with mass 70 kg and a moment of inertia of 70000 kg.m2?
50 m
What is the radius of a ball rolling on the ground with linear velocity of 15 m/s, mass of 40 kg, and angular momentum of 0.1 kg-m2/sec?
60 m