Question

Rx = ax + bx, Ry = 2y + by Magnitude of sum: [R] = R2 + R,2 Angle of R: OR = tan-1 By, this angle will be in between and Op. R Vector Addition Calculation Practice Assuming R=a+b, the magnitudes and angles of both a and b are given, then you use the equations above, calculate the magnitude and angle of R. Vector a b table1 Magnitude 11.2 14.1 Direction 26.6° 135° With the values in tablel, calculate all components and R (magnitude and direction), put them into table2 below. table2 а a, ay Ry RX Magnitude of R Direction of R Virtual Lab to Obtain Vector Sum

Answer 1

To calculate the magnitude and angle of vector R, add the corresponding components of vectors a and b and use the Pythagorean theorem and trigonometry. The magnitude of R is approximately 163.4 and its angle is approximately 87.7°.

Step-by-step explanation:

To calculate the magnitude and angle of vector R, we need to determine the components of R in the x and y directions. We can do this by adding the corresponding components of vectors a and b. So, Rx = Ax + Bx and Ry = Ay + By.

Using the given values from table1, we can calculate the components of R:

• Rx = 11.2 + 14.1 = 25.3
• Ry = 26.6° + 135° = 161.6°

Next, we can use the Pythagorean theorem to find the magnitude of R:

R = sqrt(Rx^2 + Ry^2) = sqrt(25.3^2 + 161.6^2) = 163.4

Finally, we can find the angle of R using the equation OR = tan^-1(By):

OR = tan^-1(161.6) ≈ 87.7°