Mechanics Formulas Flashcards

1
Q

Absolute error am

A

A1+a2+a3+an ÷n

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2
Q

Mean absolute error delta a

A

A1 +a2+an÷n everything in mod

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3
Q

Relative error

A

Mean absolute error /absolute error

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4
Q

Percentage error

A

Mean absolute error/absolute error ×100

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5
Q

Error in addition or substracttion

A

Delta x =+-delta a/a +delta b /b

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6
Q

Error in multiplication or division

A

Delta x by x =+-delta a by a plus delta b by b

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7
Q

Scalar product of orthogonal unit vector

A

I.i=j.j=k.k=1
I.j=j.k=k.i = 0

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8
Q

Vector product of orthogonal unit vector

A

I×i=j×j=k×k=0
I×j=k
J×k=I
K×i=j

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9
Q

Area

A

Length ×breadth

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10
Q

Volume

A

Length ×breadth ×height

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11
Q

Density

A

Mass /volume

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12
Q

Speed

A

Distance /time

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13
Q

Velocity

A

Displacement upon time

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14
Q

Acceleration

A

Change in velocity /time

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15
Q

Equations of motion

A

V=u+at
S=ut+1/2at^2
V^2=u^2+2as

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16
Q

Distance traveled in nth second

A

Sn =u+a/2[2n-1]

17
Q

Equation of path of projectile

A

Y=xtan○-g/2usquare cos square theta into x Square

18
Q

Time of flight

A

2 u sin theta by g

19
Q

Maximum height h

A

U square sin square theta by 2 g

20
Q

Horizontal range

A

U square sin 2 theta by g

21
Q

R max

A

U square by g

22
Q

Angular displacement

A

Linear displacement/time intervals

23
Q

Angular velocity w

A

Angular displacement /time

24
Q

Angular acceleration a

A

Change in angular velocity /time