How to Calculate Net Force
The net force on an object is the single equivalent force created by adding every individual force acting on it as a vector — magnitude and direction both matter, not just size. You can't simply add force magnitudes together unless the forces act along exactly the same line; forces pointing in different directions must be broken into perpendicular components first. This calculator resolves two forces — each given as a magnitude and an angle measured from the positive x-axis — into their x- and y-components, sums those components to get the net force vector, and, if you provide the object's mass, applies Newton's second law to find the resulting acceleration.
Breaking each force into components
Every force F at angle θ (measured counter-clockwise from the positive x-axis, so 0° points right/east and 90° points up/north) has an x-component of F·cos(θ) and a y-component of F·sin(θ). Summing the x-components of all forces gives the net x-component (ΣFx), and summing the y-components gives the net y-component (ΣFy). The magnitude of the net force then follows from the Pythagorean theorem, |F_net| = √(ΣFx² + ΣFy²), and its direction is θ_net = atan2(ΣFy, ΣFx).
From net force to acceleration
Newton's second law states F_net = m·a, so once you know the net force and the object's mass, the resulting acceleration is a = F_net / m, pointing in the same direction as the net force. If the net force works out to zero, the object is in equilibrium: per Newton's first law, it either stays at rest or continues moving in a straight line at constant velocity, with no acceleration.
Frequently Asked Questions
What is net force?
How do you find net force when forces act at different angles?
What does it mean if the net force is zero?
How is net force related to acceleration?
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| Restaurant (sit-down) | 15–20% | 20%+ for exceptional service |
| Food delivery | 10–20% | Consider extra for long distances |
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General Household Budget Ratios (50/30/20 Rule)
| Category | % of Net Income | Examples |
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| Needs | 50% | Rent, groceries, utilities, insurance |
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| Savings / Debt | 20% | Emergency fund, retirement, extra payments |
Common Measurement Conversions for Everyday Use
| Quantity | US / Imperial | Metric Equivalent |
|---|---|---|
| 1 cup | 8 fl oz | 237 mL |
| 1 pint | 16 fl oz | 473 mL |
| 1 quart | 32 fl oz | 946 mL |
| 1 gallon | 128 fl oz | 3.785 L |
| 1 lb | 16 oz | 453.6 g |
| 1 ft | 12 in | 30.48 cm |