measurment is to know the quantities in the object in standard units
Tool For Measurment :
Ruler :-samllest scale 1mm
-uncertainty 0,5mm
-precision 0,05mm
Vernier caliper:-smallest scale 0,1mm
-uncertainty 0,05mm
-precision 0,05mm
Micrometer:-smallest scale 0,01
-uncertainty 0,005
-precision 0,005
Dimension
Dimension Dase Quantity
[L] Length
[M] Mass
[T] Time
[I] Current
[Q] Theta
[J] Light intensity
[N] Number of substance
Example:
acceleration = [V]/[T] = [L][T]/[T] = [L][T]
velocity = [S]/[T] = [L]/[T] = [L]*[T]
Significant Figure
Example :
-1,340=4 significant figure
-8.6780=5 significant figure
-0.000000004007=4 significant figure
vector
formula :-fx=f cos theta
-fy=f sin theta
mganitude :
dot product: geomatrically,the dot product of two vector is the magnitute of one time the projection of the second onto the first
I*I=J*J=K*K=1*1*cos theta
cross product :geomatrically, the cross product of two vector is the area of the parallelogram between them
I*I=J*J=K*K=1*1*sin theta
I>J>K that is the formula to caunt the cross and dot product
I*J=K J*K=I K*I=J
I*K=-J K*J=-I J*I=-K
linear motion
quantities :-distance
-displacement
-speed
-velocity
-acceleration
-average value of velocity and acceleration
-instantaneous of velocity and acceleration
formula 1
a=(vi - vo )/t or vi=vo + a*t
formula 2
s=vot +att/2
formula 3
vi*vi=vo*vo +2as
falling object
vi=vogt
s=vot +gtt/2
vi*vi=vo*vo +2gs
if a body is projected upward ,we have to use -g for g
