Vector Addition Worksheet #2 - Trigonometric Method
Physics
Fall 2013
On a fresh page in your spiral, add each set of vectors below using trigonometry. For each set, draw a roughly
approximate sketch (including a reference frame), calculate the components of each vector using the sine and the cosine
functions, then add or subtract like-direction components to find the ‘x’ and ‘y’ parts of the resultant and lastly find the
magnitude of the resultant using the Pythagorean theorem and the direction using the tangent function.
1.
d1 = 18.1 m @ 27o (or 27o E of N)
d2 = 3.8 m @ 275 o (or 85o W of N)
2.
v1 = 4.3 m/s @ 72o (or 72o E of N)
v2 = 10.7 m/s @ 247o (or 23o S of W)
3.
F1 = 6.7 N @ 306o (or 54o W of N)
F2 = 9.2 N @ 206o (or 26o W of S)
4.
F1 = 16.2 N @ 48.0o (or 48.0o E of N)
F2 = 39.6 N @ 297.0o (or 27.0o N of W)
F3 = 11.2 N @ 356.0o (or 4.00o W of N)
Vector Addition Worksheet #2 - Trigonometric Method
Physics
Fall 2013
On a fresh page in your spiral, add each set of vectors below using trigonometry. For each set, draw a roughly
approximate sketch (including a reference frame), calculate the components of each vector using the sine and the cosine
functions, then add or subtract like-direction components to find the ‘x’ and ‘y’ parts of the resultant and lastly find the
magnitude of the resultant using the Pythagorean theorem and the direction using the tangent function.
1.
d1 = 18.1 m @ 27o (or 27o E of N)
d2 = 3.8 m @ 275 o (or 85o W of N)
2.
v1 = 4.3 m/s @ 72o (or 72o E of N)
v2 = 10.7 m/s @ 247o (or 23o S of W)
3.
F1 = 6.7 N @ 306o (or 54o W of N)
F2 = 9.2 N @ 206o (or 26o W of S)
4.
F1 = 16.2 N @ 48.0o (or 48.0o E of N)
F2 = 39.6 N @ 297.0o (or 27.0o N of W)
F3 = 11.2 N @ 356.0o (or 4.00o W of N)
Vector Addition Worksheet #2 - Trigonometric Method
Physics
Fall 2013
On a fresh page in your spiral, add each set of vectors below using trigonometry. For each set, draw a roughly
approximate sketch (including a reference frame), calculate the components of each vector using the sine and the cosine
functions, then add or subtract like-direction components to find the ‘x’ and ‘y’ parts of the resultant and lastly find the
magnitude of the resultant using the Pythagorean theorem and the direction using the tangent function.
1.
d1 = 18.1 m @ 27o (or 27o E of N)
d2 = 3.8 m @ 275 o (or 85o W of N)
2.
v1 = 4.3 m/s @ 72o (or 72o E of N)
v2 = 10.7 m/s @ 247o (or 23o S of W)
3.
F1 = 6.7 N @ 306o (or 54o W of N)
F2 = 9.2 N @ 206o (or 26o W of S)
4.
F1 = 16.2 N @ 48.0o (or 48.0o E of N)
F2 = 39.6 N @ 297.0o (or 27.0o N of W)
F3 = 11.2 N @ 356.0o (or 4.00o W of N)