WJEC A-Level Physics 1420QS
Basic Physics
Kinematics
Dynamics
Energy Concepts
Solids Under Stress
Using Radiation to Investigate Stars
Particles and Nuclear Structure
Conduction of Electricity
Resistance
D.C. Circuits
The Nature of Waves
Wave Properties
Refraction of Light
Photons
Lasers
Circular Motion
Vibrations
Kinetic Theory
Thermal Physics
Nuclear Decay
Nuclear Energy
Capacitance
Electrostatic and Gravitational Fields of Force
Orbits and the Wider Universe
Magnetic Fields
Electromagnetic Induction
Option A: Alternating CurrentsOption A
Option B: Medical PhysicsOption B
Option C: The Physics of SportsOption C
Option D: Energy and the EnvironmentOption D
Mathematical Requirements (Appendix C)
Option C: The Physics of Sports
Torque, angular momentum and its conservation
- 3 things to know
- A2 Unit 4 Section B
Overview
Recall questions on Torque, angular momentum and its conservation.
What you need to know
Answer each one before you reveal it.
State the unit of angular momentum in SI base units.
How does a diver acquire angular momentum in the first place, given that it cannot change in the air?
Questions from this subtopic
Each one with the model answer underneath.
- 1
What is the unit of torque, and which linear quantity does torque correspond to?
Model answer
Torque is measured in N m, and it corresponds to force in linear motion. It is the quantity that produces angular acceleration.
- 2
A wheel of moment of inertia 0.25 kg m² is given an angular acceleration of 12 rad s⁻². Calculate the torque applied.
Model answer
τ = Iα = 0.25 × 12 = 3.0 N m. Substituting back, 3.0 ÷ 0.25 returns an angular acceleration of 12 rad s⁻².
- 3
A gymnast swinging on a high bar has a moment of inertia of 12 kg m² about the bar. A torque of 84 N m acts. Calculate the angular acceleration.
Model answer
α = τ/I = 84 ÷ 12 = 7.0 rad s⁻². Substituting back, 12 × 7.0 returns a torque of 84 N m.
- 4
Why do two athletes of the same mass need different torques to reach the same rate of spin in the same time?
Model answer
The torque required is the moment of inertia times the angular acceleration, and with equal masses the moment of inertia depends on how the mass is distributed about the axis. The athlete with the longer limbs or the more extended shape needs the larger torque.
- 5
State the unit of angular momentum in SI base units.
Model answer
Angular momentum is measured in kg m² s⁻¹.
- 6
A diver leaves the board in a straight position with a moment of inertia of 3.5 kg m² and an angular velocity of 2.0 rad s⁻¹. Calculate the angular momentum.
Model answer
L = Iω = 3.5 × 2.0 = 7.0 kg m² s⁻¹. Substituting back, 7.0 ÷ 3.5 returns an angular velocity of 2.0 rad s⁻¹.
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