Inertia
Newton's 2nd Law
Rotational Dynamics
Angular Momentum
Mystery Questions
100

The definition of inertia. (not the equation)

What is resistance to a change in rotational motion?

100
The equation for Newton's 2nd Law in terms of rotation.
What is: torque = Inertia x angular acceleration
100

These are three of the four constant angular acceleration equations for rotational motion in AP format.

wf = wo + œt

∆Ø = wot + 1/2 * œ * t2

Ư = 1/2 * (wo+wf) * t

wf2 = wo2 + 2 * œ * ∆Ø

100
This law of linear momentum also applies to angular momentum.
What is the Conservation of Momentum?
100

There are this many registered countries in the world.

What is 195?

200
Equation for the inertia of a single-point mass.
What is I = mr^2 (m = mass, r = radius/distance from axis of rotation).
200

This direction is considered positive Torque.

What is counterclockwise?

200

Between a long, thin screwdriver and a short, thick screwdriver, this one is better for unscrewing a rusted screw from a machine.

What is a short, thick screwdriver?

200

This is the derivation of angular momentum from linear momentum.

What is Let Mr. Santee come and See?
200

This is the total number of Amendments that have been made to the US Constitution.

What is 27?

300

The inertia of a rod of length L that has a mass M on one end and a mass 3M on the other.

What is I = 3/4 * M * L2?

300

A merry-go-round accelerates uniformly from rest and reaches an angular speed of 0.4 rad/s in the first 10 seconds. If the net applied torque is 2000N, this is the moment of inertia for the merry-go-round.

What is 50,000 kg*m^2?

300

What a gymnast increases by stretching their arms out to help them balance on a beam.

What is Moment of Inertia?

300

For a single-point mass moving about a fixed point, this is the equation for the angular momentum.

What is L = mvrperp?

300

The US Women's National Soccer Team just won the Women's Gold Cup tournament, defeating this team in the semifinals on a flooded field in penalties before defeating Brazil in the final.

Who is Canada?

400

How to calculate the moment of inertia of an object about an axis parallel to one through its center of mass.

What is Iparallel = ICoM + md2?

400

This is the derivation of Newton's 2nd Law of Rotational Motion from Newton's 2nd Law of Translational Motion. 

What is Let Mr. Santee come and See?

400

Three children try and pull on a merry-go-round to make it rotate. The merry-go-round has a radius of 3.65 m. Two children pull with equal forces of 40N to the right (clockwise) and a third child tries to rotate the merry-go-round the other direction with a 60 N force at the same time. This is the net torque on the merry-go-round (including the direction it will turn).

What is -73 N*m?

400

A roll of toilet paper is held by the first piece and allowed to unfurl as shown in the diagram to the right. The roll has an outer radius R = 6.0 cm, an inner radius r = 1.8 cm, a mass m = 200 g, and falls a distance s = 3.0 m. Assuming the outer diameter of the roll does not change significantly during the fall, this will be the final angular speed of the roll.


(Use Energy)

What is 16.4 rev/s?

400

This was the final year in which humans successfully landed a manned mission on the surface of the moon.

What is 1972? (Apollo 17)

500

Derive the moment of inertia for a continuous thin disk with radius R, mass M and thickness h.

What is I = 1/2 * M * R2?

500

A string is wrapped around a pulley with a radius of 0.05 m and an inertia of 0.2 kg*m^2. If the string is pulled with a force, F, the resulting angular acceleration of the pulley is 2 rad/s^2. This is the magnitude of the force.

What is 8 N?

500

A string wrapped around a pulley with a radius of 0.2 m and an inertia of .25 kg*m^2. The string is pulled with a force of 15 N, resulting in this angular acceleration.

What is 12 rad/s^2?

500

A satellite is rotating once per minute. It has an moment of inertia of 10,000kg⋅m2. Erin, an astronaut, extends the satellite's solar panels, increasing its moment of inertia to 30,000kg⋅m2.This is how quickly the satellite is rotating.

What is 1 rotation every 3 minutes?

500

This actor/actress has won more Oscars (4) in the Best Lead/Supporting Actor/Actress category than any other person.

Who is Katharine Hepburn?