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Is cos function and pythagorean theroem used to calculate the magnitude and direction of the resultant vector?
Wiki User
∙ 11y ago
No. The "resultant vector" will be in rectangular coordinates (x and y coordinates). You indeed use the Pythagorean theorem to calculate its magnitude. For the direction, however, you use the arc-tangent of (y / x). Since different angles have the same tangent, you also have to take into account the quadrant of the angle. For example, if both x and y are negative, then you have to add 180 degrees (or pi radians) to the angle which your calculator gives you.
You can save yourself all this trouble by using the rectangular-to-polar conversion, available on most scientific calculators. Check your calculator's manual for details.
Wiki User
∙ 11y ago
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If vx 3 meterssecond and vy 4 meterssecond what is the magnitude of the resultant velocity?
You can calculate that with the Pythagorean theorem.
How can you Calculate the magnitude and direction of the resultant force of an object which is acted on by a force of 4.0N and a force of 10N that are in the same direction?
Add the resultant vectors 4 + 10 (and as they are in the same direction there will be no sine or cosine factors to worry about).Answer: 14N in the direction of the forces
When two equal and opposite vectors are added their resultant vector has zero magnitude what is the direction of this resultant?
The zero-vector has no direction.
What is th effect on the resultant of increasing the angle between the two forces?
The direction will change; the magnitude of the resultant force will be less.
How do you solve for the resultant if two forces are in the same direction?
If two forces are in the same direction, then their resultant is also in the same direction, and its magnitude is the sum of the two components' magnitudes.
If vx 3 meterssecond and vy 4 meterssecond what is the magnitude of the resultant velocity?
You can calculate that with the Pythagorean theorem.
How can you Calculate the magnitude and direction of the resultant force of an object which is acted on by a force of 4.0N and a force of 10N that are in the same direction?
Add the resultant vectors 4 + 10 (and as they are in the same direction there will be no sine or cosine factors to worry about).Answer: 14N in the direction of the forces
When two equal and opposite vectors are added their resultant vector has zero magnitude what is the direction of this resultant?
The zero-vector has no direction.
How do you solve for Equilibrant force?
Use pythagorean theorem to get the magnitude of the resultant force… The fourth force that would put this arrangement in equilibrium (the equilibrant) is equal and opposite the resultant. The components work this way too. To get the opposite direction angle, add on 180°.
How would you calculate the result velocity of two velocities in the same direction?
If they're exactly in the same direction, then the resultant is also in the same direction, and its magnitude is equal to the sum of the two individual magnitudes.
What is the effect on the resultant of increasing the angle between the two forces?
The direction will change; the magnitude of the resultant force will be less.
Does the resultant take into account the direction of the two vectors?
Yes, a resultant vector is the vector sum of the two vectors. It has it's own direction and magnitude.
What is th effect on the resultant of increasing the angle between the two forces?
The direction will change; the magnitude of the resultant force will be less.
How do you solve for the resultant if two forces are in the same direction?
If two forces are in the same direction, then their resultant is also in the same direction, and its magnitude is the sum of the two components' magnitudes.
Formula to calculate magnitude of the resultant vector?
To calculate the magnitude of the resultant vector, you can use the Pythagorean theorem. Square the x-component of the vector, square the y-component of the vector, and sum them together. Finally, take the square root of the resulting sum. The formula is: |R| = sqrt((Rx^2) + (Ry^2)).
Resultant of two like parallel forces?
The magnitude of the resultant of two like parallel forces is the sum of the magnitudes of the forces and its direction will be same as the direction of the parallel forces.
How do you calculate magnitude and direction of a resultant vector by parallelogram law?
To find the resultant of 2 vectors, P and Q, let the ray AB represent the vector P. Let AB (not BA) be in the direction of P and let the length of AB represent the magnitude of P. Let BC represent the direction of Q and the length BC represent the magnitude of Q [on the same scale used for P and AB]. Then the straight line AC, which is the diagonal of the parallelogram with sides representing P and Q, is the resultant vector R, with magnitude and direction represented by AC.The vectors P and Q can also be represented as sides AB and AC. In that case you will need to complete the parallelogram and the resultant is represented by the diagonal through A.
