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“Vectors Experiment”:I’ve done about 60% of the report, I need a step by step calculation for velocity R, velocity E, RE, ƟR, ƟE, Rerror, ƟRerror.please check out the attached two files for more details.First file for the experiment data and the other for the lab report requirements, instructions and some images for some of the necessary formulas.
i_need_a_step_by_step_calculation_for_velocity_r.docx

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I need a step by step calculation for velocity R, velocity E,
RE, ƟR, ƟE, Rerror, ƟRerror.
– Velocities:
velocity R, and velocity E.
– Angle:
ƟR, ƟE, Rerror, ƟRerror.
– % error for graphic method:
Rerror=
( 𝑆−𝑀)
ƟRerror=
× 100
𝑆
( 𝑆−𝑀)
𝑆
× 100
Data: A + B + C = R
1) Find the R vector with the following data using graphic method (H-T).
Gr
1
Velocity A
(200 km,
45o)
Velocity B
(600 km,
270o)
Velocity C
(400 km,
Velocity R
Velocity E
150o)
Define the equilibrant length, E and measure the resultant length, R and find the magnitude and
angle of the Vector E and R.
2) Find the Vector R , E using analytic method.
A
B
C
R
X-comp
141.42 m/s
0 m/s
-346.4 m/s
-205 m/s
Y-comp
141.42 m/s
-600 m/s
200 m/s
-259 m/s
Magnitude
R Vector
Angle
330 m/s
E Vector
# Calculations:
Ax= Ax cos ƟA
= 200 cos 45°
= 141.42 m/s
Bx= Bx cos ƟB
= 600 cos 270°
= 0 m/s
Cx= Cx cos ƟC
= 400 cos 150°
= -346.4 m/s
Ay= Ay sin ƟA
= 200 sin 45°
= 141.42 m/s
By= By sin ƟB
= 600 sin 270°
= -600 m/s
Cy= Cy sin ƟC
= 400 sin 150°
= 200 m/s
Rx= Ax cos ƟA + Bx cos ƟB + Cx cos ƟC
= 141.42 m/s + 0 m/s + (-346.4 m/s)
= -205 m/s
Ry= Ay sin ƟA + By sin ƟB + Cy sin ƟC
= 141.42 m/s + (-600 m/s) + 200 m/s
= -259 m/s
E
% error for Graphic
Method
– Magnitude:
R=|R|
R
R= 330 m/s
– Angle:
– % error for graphic method:
Rerror=
ƟRerror=