APPC Angular Energy & Momentum Flashcard

Front

What happens to a person's moment of inertia and angular speed when they extend their arms while sitting on a frictionless spinning stool?

Back

The person's moment of inertia increases and their angular speed decreases.

Front

What type of wheels would be best for an engineless car designed for a downhill coasting race?

Back

Solid disks.

Front

What is the moment of inertia of a solid cylinder of mass m and radius R?

Back

1/2 mR².

Front

What form of kinetic energy does a sliding cube possess?

Back

Translational kinetic energy.

Front

Which object reaches the bottom of a ramp first: a sphere rolling without slipping or a block sliding without friction?

Back

The block, because it does not gain rotational kinetic energy, but the sphere does.

Front

Define angular momentum.

Back

Angular momentum is the product of a body's moment of inertia and its angular velocity.

Front

What is the principle of conservation of angular momentum?

Back

In a closed system, the total angular momentum remains constant if no external torque acts on it.

Front

Explain the difference between translational and rotational kinetic energy.

Back

Translational kinetic energy is due to linear motion, while rotational kinetic energy is due to rotational motion around an axis.

Front

What is the formula for calculating the kinetic energy of a rotating object?

Back

Kinetic Energy (rotational) = 1/2 Iω², where I is the moment of inertia and ω is the angular velocity.

Front

What is the relationship between torque and angular acceleration?

Back

Torque is equal to the moment of inertia multiplied by the angular acceleration (τ = Iα).