PHYS 1433 Lab 4 Linear uniformly accelerated motion
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PHYS 1433
Lab 4: Linear Uniformly Accelerated Motion
Objective:
In this lab experiment our group determined the principals of a projectiles
positions by finding the relationship between gravity and the horizontal/vertical directions of
motion, and whether they are independent of projectile mass or not. The acceleration of the
moving projectile was measured in order to verify the accelerated motion.
Theoretical Background:
As an object changes position, the value of its position
coordinates will change with time. This change in value due to its change in position is known as
displacement which is expressed as
△
X = X
2
– X
1
.
When the object changes its initial position
with time, this is known as velocity in the formula;
V =
△
X/
△T.
In determining acceleration,
we use the formula
A = V
2
– V
1
/ t
2
– t
1
, and for average acceleration the formula A = v-v(
Initial
)/t
can be used. By receiving the data calculated we can create a graph needed for finding the slope
which would be equal to the acceleration’s magnitude.
Procedure:
1.
We began by setting up the dynamic tracks and photogates to determine the
distances between photogates as shown in figure 1.
2.
The length of the flag was measured, and the data results were recorded in the
given table.
3.
Two photogates were utilized in the experiment. Photogate #1’s accessory
plug was inserted into Digital channel 1 on the computers workshop software.
4.
Photogates #2’s accessory was then plugged into digital channel 2 workshop
software.
5.
Photogate #2 was then placed at the distance X = 0.50m below photogate #1,
6.
The given object was set up at its starting position, then released from that
same point over a repeated number of times as specified in the given table.
Graphs:
0.8
0.9
1
1.1
1.2
1.3
1.4
1.5
0.64
0.66
0.68
0.7
0.72
0.74
0.76
0.78
0.8
f(x) = 0.18 x + 0.53
R² = 0.96
Velocity V. Time (T
)
△
Time, t,s
Velocity,m/s
0.8
0.9
1
1.1
1.2
1.3
1.4
1.5
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
f(x) = 0.62 x
R² = 1
Distance V. Time
Time t, s
Distance x,n
Sample Calculations:
TIME
△
T
0
,
S
TIME
△
T,
S
Velocit
y
V=
△
L/
△
T
,
m/s
Time
Betwee
n
Photoga
tes
t,
S
Accele
ration
A
from
(4),
m/s^2
Dista
nce
betw
een
phot
ogate
s
x, m
Distan
ce X
from
(6),
x,m
%
differ
ence
for
X
Dista
nce X
from
(8),
m
Velocit
y
V0=
△
L/
△
T
,
m/s
0.08
0.0573
0.69
0.8356
0.2273
0.5
0.4943
1.14%
0.447
6
0.5
0.0849
0.0567
0.7
1.0111
0.2265
0.6
0.5014
17.9%
0.464
9
0.47
0.0832
0.0536
0.74
1.1296
0.2301
0.7
0.5658
20.6%
0.522
0.471
0.086
0.0525
0.76
1.2845
0.2296
0.8
0.6407
23.3%
0.552
7
0.465
0.0857
0.0506
0.79
1.4161
0.2288
0.9
0.7123
23.2%
0.599
2
0.466
Average
Acceleration
{m/s^2}
Slope of Graph
{m/s^2}
Acceleration
from slope of
Graph
{m/s^2}
Percent Difference
for Acceleration
0.2285
0.1792
0.619
15.56
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