Moving Boat Velocity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Boat Velocity = Resultant Velocity*cos(Angle)
vb = V*cos(θ)
This formula uses 1 Functions, 3 Variables
Functions Used
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)
Variables Used
Boat Velocity - (Measured in Meter per Second) - Boat Velocity which is free to move about a vertical axis.
Resultant Velocity - (Measured in Meter per Second) - 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.
Angle - (Measured in Radian) - Angle made with the direction of the boat aligned in the direction of the resultant velocity or made with the direction of the flow.
STEP 1: Convert Input(s) to Base Unit
Resultant Velocity: 10 Meter per Second --> 10 Meter per Second No Conversion Required
Angle: 50 Degree --> 0.872664625997001 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
vb = V*cos(θ) --> 10*cos(0.872664625997001)
Evaluating ... ...
vb = 6.42787609686665
STEP 3: Convert Result to Output's Unit
6.42787609686665 Meter per Second --> No Conversion Required
FINAL ANSWER
6.42787609686665 6.427876 Meter per Second <-- Boat Velocity
(Calculation completed in 00.004 seconds)

Credits

Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
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Bhilai Institute of Technology (BIT), Raipur
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9 Area-Velocity Method Calculators

Partial Discharge in Sub-Area between Two Verticals given Resultant Velocity
Go Partial Discharges = ((Depth 'yi' of Flow in Sub-Area+Depth 'i+1' of Flow in Sub-Area)/2)*Resultant Velocity^2*sin(Angle)*cos(Angle)*Time of Transit between Two Verticals
Partial Discharge in Sub-Area between Two Verticals given Flow Velocity
Go Partial Discharges = ((Depth 'yi' of Flow in Sub-Area+Depth 'i+1' of Flow in Sub-Area)/2)*Width between Two Verticals+1*Flow Velocity
Time of Transit between two Verticals given Width between Verticals
Go Time of Transit between Two Verticals = Width between Two Verticals/Boat Velocity
Moving Boat Velocity given Width between Two Verticals
Go Boat Velocity = Width between Two Verticals/Time of Transit between Two Verticals
Width between Two Verticals
Go Width between Two Verticals = Boat Velocity*Time of Transit between Two Verticals
Resultant Velocity given Moving Boat Velocity
Go Resultant Velocity = Boat Velocity/cos(Angle)
Resultant Velocity given Flow Velocity
Go Resultant Velocity = Flow Velocity/sin(Angle)
Moving Boat Velocity
Go Boat Velocity = Resultant Velocity*cos(Angle)
Flow Velocity
Go Flow Velocity = Resultant Velocity*sin(Angle)

Moving Boat Velocity Formula

Boat Velocity = Resultant Velocity*cos(Angle)
vb = V*cos(θ)

What is Moving-Boat Technique for measurement of Velocity?

The Moving- Boat Technique measures the velocity over the width of a segment by suspending the current meter at a constant depth during the traverse of the boat across the stream. The measured velocity and the additional information of the depth sounding gives the required data for determining the discharge.

How to Calculate Moving Boat Velocity?

Moving Boat Velocity calculator uses Boat Velocity = Resultant Velocity*cos(Angle) to calculate the Boat Velocity, The Moving Boat Velocity formula is defined as in propeller-type current meter which is free to move about a vertical axis and is towed in a boat at a certain velocity. Boat Velocity is denoted by vb symbol.

How to calculate Moving Boat Velocity using this online calculator? To use this online calculator for Moving Boat Velocity, enter Resultant Velocity (V) & Angle (θ) and hit the calculate button. Here is how the Moving Boat Velocity calculation can be explained with given input values -> 6.427876 = 10*cos(0.872664625997001).

FAQ

What is Moving Boat Velocity?
The Moving Boat Velocity formula is defined as in propeller-type current meter which is free to move about a vertical axis and is towed in a boat at a certain velocity and is represented as vb = V*cos(θ) or Boat Velocity = Resultant Velocity*cos(Angle). 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 & Angle made with the direction of the boat aligned in the direction of the resultant velocity or made with the direction of the flow.
How to calculate Moving Boat Velocity?
The Moving Boat Velocity formula is defined as in propeller-type current meter which is free to move about a vertical axis and is towed in a boat at a certain velocity is calculated using Boat Velocity = Resultant Velocity*cos(Angle). To calculate Moving Boat Velocity, you need Resultant Velocity (V) & Angle (θ). With our tool, you need to enter the respective value for Resultant Velocity & Angle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Boat Velocity?
In this formula, Boat Velocity uses Resultant Velocity & Angle. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Boat Velocity = Width between Two Verticals/Time of Transit between Two Verticals
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