Create the acceleration vs sin(θ) graph

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Create the acceleration vs sin(θ) graph

TABLE 3.5 Slope and y-intercept
y-intercept, b
Slope, m
% difference of slope
acceleration
Cart only
Acceleration Versus Sin
sine
Cart+500g
Transcribed Image Text:TABLE 3.5 Slope and y-intercept y-intercept, b Slope, m % difference of slope acceleration Cart only Acceleration Versus Sin sine Cart+500g
V.
DATA AND RESULTS
TABLE 3.1 Initial Data
Quantity
Measurement
Initial Position
.
30 cm/0.3m
Final Position
102.5 cm / 1.025m
Distance Traveled
72.5 cm/0.725m
TABLE 3.2 Initial Data for Cart Only
Trial
Angle of Inclination
0=30 0-4⁰ 0-5⁰ 0-6°
1
Time
1.02sec
2
(s)
-7° 0-8⁰ 0-9⁰ 0-10° 0 11° 0 = 12⁰
0.80sec 1.04sec 0.98sec 0.95sec
0.71sec 0.82sec 0.98sec 0.84sec 0.80sec
0.77sec 1.01sec 1.01sec 0.82sec 0.81sec
0.77sec 1.01sec 0.93sec 0.85sec 0.81sec
1.04sec 0.79sec 0.92sec 0.88sec 0.70sec
1.58sec
1.14sec 1.02sec 1.15sec 0.82sec
1.51sec 1.13sec 0.94sec 1.10sec 0.95sec
1.03sec 0.86sec 0.99sec 0.91sec 0.98sec
1.00sec 1.31sec 0.94sec 1.27sec 0.86sec
1.31sec 1.27sec 0.99sec 0.95sec 0.80sec
3
4
5-
Mean Time
1.08sec 0.88sec
0.82sec 0.93sec 0.96sec 0.87sec
0.83sec
(s)
Acceleration
(m/s²)
1.29sec 1.14sec 0.98sec
0.87
1.12 1.51
m/s^2 m/s^2 m/s^2
1.92
1.24 1.87
m/s^2 m/s^2 m/s^2
2.16 -1.68 1.57
m/s^2 m/s^2
2.10
m/s^2
m/s^2
TABLE 3.3 Initial Data for Cart+500g
Trial
Angle of Inclination
0-7⁰0-8⁰ 8=9⁰ 0-10°
-11°
0-12°
1
Time 2
3
0=3⁰ 0=4⁰ 0=5⁰ 0=6⁰
1.53sec 1.27sec 1.06sec 1.13sec
1.37sec 1.28sec 1.13sec 1.06sec
1.55sec 1.38sec 1.12sec 1.27sec 1.06sec
1.52sec 1.06sec 1.08sec 1.11sec 1.08sec
1.45sec 1.41sec 1.13sec 1.13sec 0.99sec
1.48sec 1.28sec 1.10sec 1.14sec 1.07sec 0.98sec
0.66 0.89 1.20 1.12
m/s^2 m/s^2 m/s^2 m/s^2
1.16sec 1.03sec 1.03sec 0.89sec 0.88sec 0.80sec
1.07sec 1.01sec 0.88sec 0.80sec 0.84sec 0.82sec
1.00sec 0.84sec 0.92sec 0.84sec 0.84sec
0.95sec 0.99sec 0.91sec 0.78sec 0.84sec
0.92sec 0.84sec 0.81sec 0.80sec
4
5
0.93sec
Mean Time
0.93sec 0.87sec 0.83sec 0.82sec
(s)
Acceleration
(m/s²)
1.68 1.92
2.10
2.16
1.27 1.51
m/s^2 m/s^2
m/s^2
m/s^2 m/s^2
m/s^2
TABLE 3.4 Acceleration as a Function of Angle of Inclination
acceleration, a
Sine
sine
Cart only
acceleration, a
Cart only Cart+500g
Cart+500g
0.0523
0.87 m/s^2
0.66 m/s^2
0.1392
2.16 m/s^2
1.51 m/s^2
1.12 m/s^2
0.89 m/s^2
0.1564
1.68 m/s^2
1.68 m/s^2
0.0698
0.0872
1.51 m/s^2
1.20 m/s^2
1.57 m/s^2
1.92 m/s^2
0.1736
¹0.1908
0.1045
1,24 m/s^2
1.12 m/s^2
1.92 m/s^2
2.10 m/s^2
-0.1219
1.87 m/s^2
1.27 m/s^2
0.2079
2.10 m/s^2
2.16 m/s^2
*
.
-
F
pode
BERAGE SER
Transcribed Image Text:V. DATA AND RESULTS TABLE 3.1 Initial Data Quantity Measurement Initial Position . 30 cm/0.3m Final Position 102.5 cm / 1.025m Distance Traveled 72.5 cm/0.725m TABLE 3.2 Initial Data for Cart Only Trial Angle of Inclination 0=30 0-4⁰ 0-5⁰ 0-6° 1 Time 1.02sec 2 (s) -7° 0-8⁰ 0-9⁰ 0-10° 0 11° 0 = 12⁰ 0.80sec 1.04sec 0.98sec 0.95sec 0.71sec 0.82sec 0.98sec 0.84sec 0.80sec 0.77sec 1.01sec 1.01sec 0.82sec 0.81sec 0.77sec 1.01sec 0.93sec 0.85sec 0.81sec 1.04sec 0.79sec 0.92sec 0.88sec 0.70sec 1.58sec 1.14sec 1.02sec 1.15sec 0.82sec 1.51sec 1.13sec 0.94sec 1.10sec 0.95sec 1.03sec 0.86sec 0.99sec 0.91sec 0.98sec 1.00sec 1.31sec 0.94sec 1.27sec 0.86sec 1.31sec 1.27sec 0.99sec 0.95sec 0.80sec 3 4 5- Mean Time 1.08sec 0.88sec 0.82sec 0.93sec 0.96sec 0.87sec 0.83sec (s) Acceleration (m/s²) 1.29sec 1.14sec 0.98sec 0.87 1.12 1.51 m/s^2 m/s^2 m/s^2 1.92 1.24 1.87 m/s^2 m/s^2 m/s^2 2.16 -1.68 1.57 m/s^2 m/s^2 2.10 m/s^2 m/s^2 TABLE 3.3 Initial Data for Cart+500g Trial Angle of Inclination 0-7⁰0-8⁰ 8=9⁰ 0-10° -11° 0-12° 1 Time 2 3 0=3⁰ 0=4⁰ 0=5⁰ 0=6⁰ 1.53sec 1.27sec 1.06sec 1.13sec 1.37sec 1.28sec 1.13sec 1.06sec 1.55sec 1.38sec 1.12sec 1.27sec 1.06sec 1.52sec 1.06sec 1.08sec 1.11sec 1.08sec 1.45sec 1.41sec 1.13sec 1.13sec 0.99sec 1.48sec 1.28sec 1.10sec 1.14sec 1.07sec 0.98sec 0.66 0.89 1.20 1.12 m/s^2 m/s^2 m/s^2 m/s^2 1.16sec 1.03sec 1.03sec 0.89sec 0.88sec 0.80sec 1.07sec 1.01sec 0.88sec 0.80sec 0.84sec 0.82sec 1.00sec 0.84sec 0.92sec 0.84sec 0.84sec 0.95sec 0.99sec 0.91sec 0.78sec 0.84sec 0.92sec 0.84sec 0.81sec 0.80sec 4 5 0.93sec Mean Time 0.93sec 0.87sec 0.83sec 0.82sec (s) Acceleration (m/s²) 1.68 1.92 2.10 2.16 1.27 1.51 m/s^2 m/s^2 m/s^2 m/s^2 m/s^2 m/s^2 TABLE 3.4 Acceleration as a Function of Angle of Inclination acceleration, a Sine sine Cart only acceleration, a Cart only Cart+500g Cart+500g 0.0523 0.87 m/s^2 0.66 m/s^2 0.1392 2.16 m/s^2 1.51 m/s^2 1.12 m/s^2 0.89 m/s^2 0.1564 1.68 m/s^2 1.68 m/s^2 0.0698 0.0872 1.51 m/s^2 1.20 m/s^2 1.57 m/s^2 1.92 m/s^2 0.1736 ¹0.1908 0.1045 1,24 m/s^2 1.12 m/s^2 1.92 m/s^2 2.10 m/s^2 -0.1219 1.87 m/s^2 1.27 m/s^2 0.2079 2.10 m/s^2 2.16 m/s^2 * . - F pode BERAGE SER
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