Boat Speed Formula:
From: | To: |
Definition: This calculator determines the speed of a boat in still water based on its upstream and downstream speeds.
Purpose: It helps boaters, engineers, and physics students understand and calculate the true speed of a boat independent of current.
The calculator uses the formula:
Where:
Explanation: The average of upstream and downstream speeds gives the boat's speed in still water because current effects cancel out.
Details: Knowing the true speed helps in navigation planning, fuel consumption estimates, and understanding current effects.
Tips: Enter the boat's speed going upstream and downstream in km/h. Both values must be positive numbers.
Q1: Why does this formula work?
A: The current's effect is subtracted when going upstream and added when going downstream, so averaging cancels the current's influence.
Q2: What units should I use?
A: The calculator uses km/h, but the formula works with any consistent speed unit (mph, knots, etc.).
Q3: Can I calculate current speed from this?
A: Yes, current speed = (DS - US)/2. Once you have BS, current = DS - BS or BS - US.
Q4: Does this work for airspeed vs groundspeed?
A: Yes, the same principle applies to aircraft speed vs wind speed.
Q5: What if my upstream and downstream times are very different?
A: Large differences suggest strong current or changing conditions. Take multiple measurements for accuracy.