The notes for the physics lab on centripetal motion explore the principles governing the motion of an object traveling in a circular path. Key topics include the relationship between centripetal force, mass, velocity, and radius, as well as the role of tension, gravity, or friction in providing the...
occurs anytime an object m ove s in a circular path how are v ,
R ,
a T related
·
when a n object has constant speed a uniform circular motion
v is proportional to R
·
uniform circular motion v is inversely proportional to T
·
the velocity vectors all have the same magnitude a point tangential to the circle R is proportional to T
·
constant magnitude but changing direction
h ow to make the graph linear
↳ this means there is acceleration
mr
&
function : F =
Vf
relating to y = my + b
r it ri -vi vi F =
y
m
O
m =
r #
,
DV r
ri
Ar =
rf -
ri DV =
Vf
-
Vi X = v2
points up 3 left points towards b = force when velocity = 0
center of
to make the graph linear we need to plot v2 & NOT V
circle
straight line analysis
·
·
the two triangles are isosceles triangles
bic both radius a velocity vectors are the s a m e i n magnitude
·
&
·
the two triangles are also similar bic its angles are congruent M
sides on either side of the angle are also
8
↳ the same equal i n proportion
deriving a
·
velocity ?
·
based on geometric rule we can relate the radius a velocity
the slope of the graph represents
Ap
DV m in units of kglm
=
r
avadivide the intercept of the graph represents the force when =
v =
0
solve for at
by
·
↳ however i n this lab we had a starting uncertainty for the
Ar
Vr =
V =
* V =
force so it represents the uncertainty
At
our expected slope result is
calculating mir
↳ whour measured mass a radius
question 4
·
our expected intercept is the uncertainty the software provided
what is the magnitute of the force responsible ford c ?
·
uncertainty
F mac =
mv
=
AF
mr
=
there i s no
single force that is centripetal force
·
AVI = 2V .
AV
·
multiple forces combine to cause centripetal acceleration
AmV2 = Am .
V2 + 2VDV .
M
·
unlike gravity
va
my
m
Gr
DF m + 2VAV
question S
. .
·
=
.
.
mu
what causes ac ?
1 swinging ball on string
tension
. earth
2 orbiting
gravity
.
3 cararound curve
friction
4 .
Kid on a swing
tension
question G
·
·
what is the velocity i n ter ms of r a T
T = period
Since velocity = distance ,
the distance is the circumference
time
&
2πr
v =
T
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