How to add vectors in terms of velocity by using vector chart
To add vectors in terms of velocity using a vector chart, follow these steps:
1. Draw a scale diagram: First, draw a reference line in any direction, representing the scale of your vector chart. This scale will determine the magnitude of the velocity vectors you will be adding. For example, you might choose 1 cm to represent 10 km/h.
2. Choose a starting point: Select a starting point on your reference line and mark it as the initial velocity (v1). This will represent the beginning velocity vector you want to add.
3. Determine the direction: Using a protractor or visually estimating, determine the direction of the velocity vector. Draw an arrow starting from the initial velocity point in the chosen direction and label it with the magnitude of this velocity (v1).
4. Repeat steps 2 and 3 for additional vectors: If you have more than one velocity vector to add, repeat steps 2 and 3 for each vector. You can choose a new starting point on the reference line and draw the corresponding arrow in the appropriate direction for each vector.
5. Vector addition: Once all the velocity vectors are represented on the chart, connect the arrows in a sequential manner, tail-to-tip. The result will be a new arrow starting from the initial point and ending at the final point. This new arrow represents the sum of all the velocity vectors.
6. Measure the resultant vector: Using a ruler, measure the length of the resultant arrow. Multiply this length by the selected scale factor to determine the magnitude of the resulting velocity.
7. Determine the direction of the resultant vector: Use a protractor or visually estimate the angle formed between the reference line and the resultant arrow. This angle represents the direction of the resulting velocity vector.
By following these steps and using a vector chart, you can add multiple velocity vectors and obtain the resultant velocity vector in terms of magnitude and direction.