moment of interia
a measure of an object’s resistance to rotational acceleration around a axis
moment of inertia equation
I=mr^2
factors which affect moment of inertia
equation for new moment of inertia
Inew = I + mr^2
what is a flywheel?
uses of flywheels
Regenerative breaking
when brakes are applied a flywheel is engaged and it will use the energy lost by braking to “charge up”
Wind turbines
smoothing torque and angular velocity
Factors which affect the amount of energy that can be stored in a flywheel:
using a flywheel that is spoked / has more mass concentrated as it edges
how to reduce friction of a flywheel
Torque (T)
the product of a force and its distance from its axis of rotation (Nm)
equation for torque
T = Fr
how can angular acceleration be increased?
angular momentum
the product of the moment of inertia and angular velocity of an object (Nms)
angular momentum equation
angular momentum = Iω
law of conservation of momentum
when no external torque acts, the angular momentum of a system remains constant.
angular impulse
the product of torque and its duration
angular impulse equation
TΔt = Δ(Iω)
what is the area of a torque-time graph>
angular impulse
work done (W)
the force causing a motion multiplied by the distance travelled
Power (P)
rate of energy transfer
First law of thermodynamics
The increase in internal energy of a system is equal to the sum of the thermal energy added to the system and the work done on it