Units Please
What is my I?
Why did it have to be rotation?
I tried to make a pun about rotational motion, but it just didn't have the right spin
100
Units for angular displacement (name both)
rads or degrees
100
Tendency of an object to resist changes in rotational motion.
moment of inertia
100
What are the two equations for torque?
FR
I(alpha)
100
A disk with a moment of inertia of 12 kg*m2 is spinning at a rate of 1 rev/s. A second non spinning disk, with a moment of inertia of 15 kg*m2, is placed on top on the first disk. What is the new rotational speed of the two disk system?
0.44 rev/s
200
Units for torque
N*m
200
What is the moment of inertia of an object that has a rotational kinetic energy of 12 J that has an angular velocity of 12 rad/s?
0.166 kg*m2
200
Which force causes the object to rotate?
The tension force
200
What is the angualr momentum of a 0.5 kg disk at the bottom of a hill, if the disk has a radius of 10 cm and the ramp had a height of 0.25m?
0.09 kg*m2/s
300
Units for angular acceleration
rad/s2
300
Name the 4 common moments of inertia
sphere, hollow sphere, disk, hoop
300
A thin 5 kg hoop has a string wrapped around it and a mass hung from one edge. What is the mass of the hanging mass, if the mass is accelerating with a rate of 0.5 m/s2?
0.27 kg
300
An object is rotating with an angular acceleration of
α = 3t2 + 2t. What is the angular speed of the particle at t = 4 seconds?
80 rad/s
400
Units for moment of inertia
kg*m2
400
What is the moment of inertia for a solid sphere, but the axis of rotation is 1/3R from it's center?
23/45 mR2
400
A solid sphere rolls down a ramp. If the ramp is 5 meters tall, what is the final angular velocity of the sphere at the bottom of the ramp, if the sphere has a radius if 12 cm?
69.7 rad/s
400
A system of two wheels fixed to each other is free to rotate about a frictionless axis through the common center of the wheels and perpendicular to the page. Four forces are exerted tangentially to the rims of the wheels, as shown above. The magnitude of the net torque on the system about the axis is
2FR
500
Units for angular momentum
kg*m2/s
500
A non uniform rod has a linear mass density, λ = [12 + 3x2]. What is the moment of inertia of this rod, if the length of the rod is 0.5 meters long?
0.52 kg*m2
500
A ramp is put on top of a 1 meter tall table. If a hollow ball is put at the top of the ramp, what is the height of the ramp if the ball rolls off the table and lands 2 meters away from the edge of the table?
1.66 m
500
A wheel with three spokes is placed at the top of a ramp of height, H. What is the linear velocity of the wheel system at the end of the ramp?
root(2*gH/3)