Define angular speed
the rate of change of angular displacement
Define angular acceleration
the rate of change of angular speed
What is the equation for the moment of inertia for a hoop
I = m(r^2)
How do you add different I (moment of inertia) together?
add I as a scalar (like you would for mass)
What does T represent in the equation T=Iα
RESULTANT torque
What is meant by torque?
- force x perpendicular distance from the axis to the line of action of the force
What does I represent in rotational dynamics?
moment of inertia
What is a flywheel?
a mechanical device which is used to store rotational/mechanical kinetic energy
What 2 quantities determine how effective a flywheel is as a store of KE? (use formula sheet)
- ω (angular speed)
How can I (moment of inertia) be maximised for a flywheel? (3 things)
How can ω (angular speed) be maximised for a flywheel? (5 things)
For a flywheel on a vehicle, why may its KE not be maximised?
- e.g. having a flywheel with a very large radius would not be practical for the vehicle
For a disc or hoop rolling down a slope (initially from rest), what would the energy transfers be?
GPE = linear KE + rotational KE (+ heat)
Angular momentum is conserved unless…
external torques act on the system
What is the first law of thermodynamics?
Q = ∆U + W
What does Q represent in the first law of thermodynamics?
heat energy into the system
What does ∆U represent in the first law of thermodynamics?
change in internal energy (change in temperature)
What does W represent in the first law of thermodynamics?
work done by the system
What sign is W, and what happens to the gas, if work is done by the system?
- the gas expands
What sign is W, and what happens to the gas if work is done on the system?
- the gas contracts
What is meant by an isothermal change?
no temperature change
What does ∆U equal in an isothermal change?
∆U = 0
Give an example/situation when an isothermal change would occur
- e.g. ‘frictionless’ piston warmed slowly
What is meant by an adiabatic change?
no heat change to or from the surroundings