Mechanics Formulas Flashcards
Absolute error am
A1+a2+a3+an ÷n
Mean absolute error delta a
A1 +a2+an÷n everything in mod
Relative error
Mean absolute error /absolute error
Percentage error
Mean absolute error/absolute error ×100
Error in addition or substracttion
Delta x =+-delta a/a +delta b /b
Error in multiplication or division
Delta x by x =+-delta a by a plus delta b by b
Scalar product of orthogonal unit vector
I.i=j.j=k.k=1
I.j=j.k=k.i = 0
Vector product of orthogonal unit vector
I×i=j×j=k×k=0
I×j=k
J×k=I
K×i=j
Area
Length ×breadth
Volume
Length ×breadth ×height
Density
Mass /volume
Speed
Distance /time
Velocity
Displacement upon time
Acceleration
Change in velocity /time
Equations of motion
V=u+at
S=ut+1/2at^2
V^2=u^2+2as
Distance traveled in nth second
Sn =u+a/2[2n-1]
Equation of path of projectile
Y=xtan○-g/2usquare cos square theta into x Square
Time of flight
2 u sin theta by g
Maximum height h
U square sin square theta by 2 g
Horizontal range
U square sin 2 theta by g
R max
U square by g
Angular displacement
Linear displacement/time intervals
Angular velocity w
Angular displacement /time
Angular acceleration a
Change in angular velocity /time