EVERYTHINGGGGGG! Flashcards
Differentiate
x by power -1 from power
Integrate
+1 to the power / by power (+c)
Straight line Motion
v=ds/dt
a=dv/dt=d²s/dt²
Constant Acceleration only
v=u+at
s=ut+1/2at²
v²=u²+2as
v—-a
differentiate
s—-v
differentiate
a—-v
integrate (+c)
v—-s
integrate (+c)
ω
angular velocity (rad s⁻¹)
α
angular acceleration (rad s⁻²)
difference between linear and angular velocity equations
s swapped for θ
f
frequency = no of rotations per second (hz)
Equations for centripetal motion
aᵣ= v²/r=rω²
F=mv²/r=mrω²
aᵣ
centripetal acceleration
when t=0
v=x so c=x
s=0 so c=0
In what direction does Centripetal force act
towards the centre of the circle
why would a spinning objects angle decrease when speed decreases
tension (horizontal component) decreases and weight (vertical component) remains constant so angle decreases
calc θ of string
Triangle (tension=x, weight=y, Tanx=x/y)
Find rad from deg
x by 57.3
θ
Angular Displacement
what does centripetal force result in?
centripetal acceleration of the object
aᵣ
centripetal acceleration
what does an unbalanced torque result in?
a change in the angular (rotational)
motion of an object.
MOI
a measure of an objects resistance to angular
acceleration about a given axis.
formula include I=xmr²
Angular Momentum
L=Iω
L=mvr=mr²ω
Conservation of Angular momentum
Eₚ=Eₖ₍ₜᵣₐₙₛₗₐₜᵢₒₙₐₗ₎+Eₖ₍ᵣₒₜₐₜᵢₒₙₐₗ₎
Eₖ=1/2Iω²
gravitational field strength is?
gravitational force acting on a unit mass.
W=mg rearranged to g=W/m
(W=mg can also be substituted into F=GMm/r² to find gfs)
Gravitational Force
F=GMm/r²=mv²/r=mr²ω=mr(2π/T)²
hoops and rings equation
point mass
Gravitational potential is
the work done in moving
unit mass from infinity to that point
V=
Grav potential
Voltage
escape velocity is
the minimum velocity required to allow a mass to
escape a gravitational field to infinity, where the mass achieves zero kinetic energy and
maximum (zero) potential energy.
Difference between General and Special relativity
special relativity deals with motion in inertial (non-accelerating) frames
of reference and that general relativity deals with motion in non-inertial (accelerating)
frames of reference
State the equivalence principle
it is not possible to distinguish between the
effects on an observer of a uniform gravitational field and of a constant acceleration