Rotational Motion Flashcard Review

Front

What is the moment of inertia (I) of a hoop?

Back

I = MR², where M is mass and R is the radius.

Front

What is the moment of inertia (I) of a solid disk?

Back

I = 1/2 MR², where M is mass and R is the radius.

Front

If the same torque is applied to a hoop and a solid disk, which will have a greater angular acceleration?

Back

The solid disk will have a greater angular acceleration because it has a lower moment of inertia.

Front

What is the center of mass?

Back

The center of mass is the point at which the mass of a system is concentrated and can be considered to act.

Front

How does adding mass to one side of a system affect the center of mass?

Back

The center of mass shifts towards the side where mass is added.

Front

What is the formula for angular speed (ω) in radians per second?

Back

ω = 2π * (revolutions per minute) / 60.

Front

What is the relationship between linear velocity (v) and angular velocity (ω)?

Back

v = r * ω, where r is the radius.

Front

What are the rotational equivalents of distance, velocity, and acceleration?

Back

Distance: θ (theta), Velocity: ω (omega), Acceleration: α (alpha).

Front

What is torque (τ)?

Back

Torque is the rotational equivalent of force, calculated as τ = r × F, where r is the distance from the pivot and F is the force applied.

Front

What is the formula for calculating angular acceleration (α)?

Back

α = τ/I, where τ is torque and I is moment of inertia.