levo

Linear and Angular Motion

Moment of inertia and conservation of angular momentum

  • 3 things to know
  • Component 01

Overview

Moment of inertia and the mass and its distribution, the sprinter's recovery leg, angular momentum, worked diver calculations, conservation of angular momentum in skaters, divers and trampolinists, and tucked against piked somersaults.

What you need to know

Answer each one before you reveal it.

Your recallNot started
Key term

How are moment of inertia and angular velocity related, and what is angular momentum?

Key term

Describe how the graphs of moment of inertia, angular velocity and angular momentum change as a diver tucks and then opens out.

Key term

Define moment of inertia and give its unit.

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    Define moment of inertia and give its unit.

    Model answer

    Moment of inertia is the resistance of a body to a change in its state of angular motion. Moment of inertia is measured in kg m².

  2. 2

    Which two factors decide the size of a rotating body's moment of inertia?

    Model answer

    The mass of the body or body part affects moment of inertia. How far that mass is spread from the axis of rotation also affects it.

  3. 3

    How does mass affect moment of inertia?

    Model answer

    A greater mass gives a greater moment of inertia. A heavier gymnast is harder to start rotating and harder to stop.

  4. 4

    How does the distribution of mass affect moment of inertia?

    Model answer

    Mass spread further from the axis of rotation increases moment of inertia. Mass tucked close to the axis reduces moment of inertia.

  5. 5

    Why does a sprinter bend the recovery leg sharply at the knee?

    Model answer

    A tightly flexed knee brings the leg's mass closer to the hip, lowering its moment of inertia. The leg can then swing forward faster.

  6. 6

    How are moment of inertia and angular velocity related?

    Model answer

    Moment of inertia and angular velocity are inversely proportional when angular momentum is constant. A decrease in moment of inertia increases angular velocity.

Other ways to work this

The same content, four other ways.

What is inside Levo

Six ways to work the same material.

1Closed book
2Open book
3Closed book

The 3-step method, run for you

Answer cold, learn it, then prove it stuck. Levo tracks the jump between your first attempt and your last.

Skeletal and Muscular Systems
The Cardiovascular System
The Respiratory System
Energy for Exercise

Cram a whole paper in one sitting

Sort every topic into what you know and what you do not, then drill only the weak ones.

The autocratic style is .
task-orientedperson-orientedlaissez-faire

Blank Blitz makes facts automatic

Rapid timed gap-fills on the terms and numbers you need to recall without thinking.

ADoping can damage health and add to healthcare costs.
BDoping can also encourage drug use in amateur and gym sport.
CA sport linked to doping is seen as dishonest.

Build It gets the exam shape right

Assemble a full-mark answer from its marking points, in the order an examiner wants them.

Scalar means a quantity with size only.
TrueFalse

Test It catches misconceptions

Spot the fault in a statement. The traps are the mistakes students actually make.

721941163128510

Brain Breaks between sessions

Short focus games to reset attention, so the next set lands better than the last.

Every question in Linear and Angular Motion, on a schedule.

Attempt a question from memory, write the correct version, then attempt it again. Levo records the jump between your first attempt and your last, and brings each question back on the day you are due to forget it.

Or £46 a year, about £3.83 a month. Cancel anytime.