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Resultant Velocity is the sum of its vector velocities. The sum of the vector forces on an object equals the scalar product of its mass and acceleration vector. Check FAQs
V=vbcos(θ)
V - Resultant Velocity?vb - Boat Velocity?θ - Angle?

Resultant Velocity given Moving Boat Velocity Example

With values
With units
Only example

Here is how the Resultant Velocity given Moving Boat Velocity equation looks like with Values.

Here is how the Resultant Velocity given Moving Boat Velocity equation looks like with Units.

Here is how the Resultant Velocity given Moving Boat Velocity equation looks like.

9.9877Edit=6.42Editcos(50Edit)
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Resultant Velocity given Moving Boat Velocity Solution

Follow our step by step solution on how to calculate Resultant Velocity given Moving Boat Velocity?

FIRST Step Consider the formula
V=vbcos(θ)
Next Step Substitute values of Variables
V=6.42m/scos(50°)
Next Step Convert Units
V=6.42m/scos(0.8727rad)
Next Step Prepare to Evaluate
V=6.42cos(0.8727)
Next Step Evaluate
V=9.9877469684419m/s
LAST Step Rounding Answer
V=9.9877m/s

Resultant Velocity given Moving Boat Velocity Formula Elements

Variables
Functions
Resultant Velocity
Resultant Velocity is the sum of its vector velocities. The sum of the vector forces on an object equals the scalar product of its mass and acceleration vector.
Symbol: V
Measurement: SpeedUnit: m/s
Note: Value should be greater than 0.
Boat Velocity
Boat Velocity which is free to move about a vertical axis.
Symbol: vb
Measurement: SpeedUnit: m/s
Note: Value should be greater than 0.
Angle
Angle made with the direction of the boat aligned in the direction of the resultant velocity or made with the direction of the flow.
Symbol: θ
Measurement: AngleUnit: °
Note: Value should be greater than 0.
cos
Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.
Syntax: cos(Angle)

Other Formulas to find Resultant Velocity

​Go Resultant Velocity given Flow Velocity
V=Vfsin(θ)

Other formulas in Area Velocity Method category

​Go Moving Boat Velocity
vb=Vcos(θ)
​Go Flow Velocity
Vf=Vsin(θ)
​Go Width between Two Verticals
W=vbΔt
​Go Moving Boat Velocity given Width between Two Verticals
vb=WΔt

How to Evaluate Resultant Velocity given Moving Boat Velocity?

Resultant Velocity given Moving Boat Velocity evaluator uses Resultant Velocity = Boat Velocity/cos(Angle) to evaluate the Resultant Velocity, The Resultant Velocity given Moving Boat Velocity formula is defined as the registered velocity in the propeller-type current meter which is free to move about a vertical axis towed in a boat at a certain velocity. Resultant Velocity is denoted by V symbol.

How to evaluate Resultant Velocity given Moving Boat Velocity using this online evaluator? To use this online evaluator for Resultant Velocity given Moving Boat Velocity, enter Boat Velocity (vb) & Angle (θ) and hit the calculate button.

FAQs on Resultant Velocity given Moving Boat Velocity

What is the formula to find Resultant Velocity given Moving Boat Velocity?
The formula of Resultant Velocity given Moving Boat Velocity is expressed as Resultant Velocity = Boat Velocity/cos(Angle). Here is an example- 9.987747 = 6.42/cos(0.872664625997001).
How to calculate Resultant Velocity given Moving Boat Velocity?
With Boat Velocity (vb) & Angle (θ) we can find Resultant Velocity given Moving Boat Velocity using the formula - Resultant Velocity = Boat Velocity/cos(Angle). This formula also uses Cosine function(s).
What are the other ways to Calculate Resultant Velocity?
Here are the different ways to Calculate Resultant Velocity-
  • Resultant Velocity=Flow Velocity/sin(Angle)OpenImg
Can the Resultant Velocity given Moving Boat Velocity be negative?
No, the Resultant Velocity given Moving Boat Velocity, measured in Speed cannot be negative.
Which unit is used to measure Resultant Velocity given Moving Boat Velocity?
Resultant Velocity given Moving Boat Velocity is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Resultant Velocity given Moving Boat Velocity can be measured.
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