Engineering Flashcards
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?
- turning effect
- 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)
- I (moment of inertia)
- ω (angular speed)
How can I (moment of inertia) be maximised for a flywheel? (3 things)
- I = m(r^2), use a hoop
- large m, dense material
- large r, as much as possible
How can ω (angular speed) be maximised for a flywheel? (5 things)
- magnetic bearings - no friction
- evacuated chamber - no air resistance
- stiff material - no deformation
- strong material - avoids breaking apart
- balanced - avoid uneven forces
For a flywheel on a vehicle, why may its KE not be maximised?
- have to compromise
- 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?
- W is positive
- the gas expands