Velocity at Radial Distance r1 given Torque Exerted on Fluid Solution

STEP 0: Pre-Calculation Summary
Formula Used
Velocity at Point 1 = (Rate of Flow*Radial Distance 2*Velocity at Point 2-(Torque Exerted on Fluid*Delta Length))/(Radial Distance 1*Rate of Flow)
V1 = (qflow*r2*V2-(τ*Δ))/(r1*qflow)
This formula uses 7 Variables
Variables Used
Velocity at Point 1 - (Measured in Meter per Second) - Velocity at Point 1 is the velocity of fluid passing through point 1 in flow.
Rate of Flow - (Measured in Cubic Meter per Second) - Rate of Flow is the rate at which a liquid or other substance flows through a particular channel, pipe, etc.
Radial Distance 2 - (Measured in Meter) - Radial Distance 2 in the impulse momentum definition represents the distance from the reference point to the final position.
Velocity at Point 2 - (Measured in Meter per Second) - velocity at Point 2 is the velocity of fluid passing through point 2 in a flow.
Torque Exerted on Fluid - (Measured in Newton Meter) - Torque Exerted on Fluid is described as the turning effect of force on the axis of rotation. In brief, it is a moment of force. It is characterized by τ.
Delta Length - (Measured in Meter) - Delta Length is often used to indicate the difference, or change, in a length of an entity.
Radial Distance 1 - (Measured in Meter) - Radial distance 1 in the impulse momentum definition represents the initial distance from the reference point.
STEP 1: Convert Input(s) to Base Unit
Rate of Flow: 24 Cubic Meter per Second --> 24 Cubic Meter per Second No Conversion Required
Radial Distance 2: 6.3 Meter --> 6.3 Meter No Conversion Required
Velocity at Point 2: 61.45 Meter per Second --> 61.45 Meter per Second No Conversion Required
Torque Exerted on Fluid: 91 Newton Meter --> 91 Newton Meter No Conversion Required
Delta Length: 49 Meter --> 49 Meter No Conversion Required
Radial Distance 1: 2 Meter --> 2 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V1 = (qflow*r2*V2-(τ*Δ))/(r1*qflow) --> (24*6.3*61.45-(91*49))/(2*24)
Evaluating ... ...
V1 = 100.671666666667
STEP 3: Convert Result to Output's Unit
100.671666666667 Meter per Second --> No Conversion Required
FINAL ANSWER
100.671666666667 100.6717 Meter per Second <-- Velocity at Point 1
(Calculation completed in 00.004 seconds)

Credits

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National Institute of Technology Karnataka (NITK), Surathkal
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6 Angular Momentum Principles Calculators

Radial Distance r1 given Torque Exerted on Fluid
Go Radial Distance 1 = ((Radial Distance 2*Velocity at Point 2*Rate of Flow)-(Torque Exerted on Fluid*Delta Length))/(Rate of Flow*Velocity at Point 1)
Velocity at Radial Distance r1 given Torque Exerted on Fluid
Go Velocity at Point 1 = (Rate of Flow*Radial Distance 2*Velocity at Point 2-(Torque Exerted on Fluid*Delta Length))/(Radial Distance 1*Rate of Flow)
Velocity at Radial Distance r2 given Torque Exerted on Fluid
Go Velocity at Point 2 = (Rate of Flow*Radial Distance 1*Velocity at Point 1+(Torque Exerted on Fluid*Delta Length))/(Rate of Flow*Radial Distance 2)
Radial Distance r2 given Torque Exerted on Fluid
Go Radial Distance 2 = ((Torque Exerted on Fluid/Rate of Flow*Delta Length)+Radial Distance 1*Velocity at Point 1)/Velocity at Point 2
Torque Exerted on Fluid
Go Torque Exerted on Fluid = (Rate of Flow/Delta Length)*(Radial Distance 2*Velocity at Point 2-Radial Distance 1*Velocity at Point 1)
Change in Rate of Flow given Torque Exerted on Fluid
Go Rate of Flow = Torque Exerted on Fluid/(Radial Distance 2*Velocity at Point 2-Radial Distance 1*Velocity at Point 1)*Delta Length

Velocity at Radial Distance r1 given Torque Exerted on Fluid Formula

Velocity at Point 1 = (Rate of Flow*Radial Distance 2*Velocity at Point 2-(Torque Exerted on Fluid*Delta Length))/(Radial Distance 1*Rate of Flow)
V1 = (qflow*r2*V2-(τ*Δ))/(r1*qflow)

What is Radial Distance?

Radial distance is defined as 'distance between whisker sensor's pivot point to whisker-object contact point. θ0 denotes the protraction angle, λ is the deflection angle measured by sensors at position h, and the tangential angle at sensor θ1 is calculated as θ1 = θ0 − λ.

How to Calculate Velocity at Radial Distance r1 given Torque Exerted on Fluid?

Velocity at Radial Distance r1 given Torque Exerted on Fluid calculator uses Velocity at Point 1 = (Rate of Flow*Radial Distance 2*Velocity at Point 2-(Torque Exerted on Fluid*Delta Length))/(Radial Distance 1*Rate of Flow) to calculate the Velocity at Point 1, The Velocity at Radial distance r1 given Torque Exerted on Fluid is defined as the torque exerted on the fluid, resulting in rotational motion or flow. Velocity at Point 1 is denoted by V1 symbol.

How to calculate Velocity at Radial Distance r1 given Torque Exerted on Fluid using this online calculator? To use this online calculator for Velocity at Radial Distance r1 given Torque Exerted on Fluid, enter Rate of Flow (qflow), Radial Distance 2 (r2), Velocity at Point 2 (V2), Torque Exerted on Fluid (τ), Delta Length (Δ) & Radial Distance 1 (r1) and hit the calculate button. Here is how the Velocity at Radial Distance r1 given Torque Exerted on Fluid calculation can be explained with given input values -> 97.59917 = (24*6.3*61.45-(91*49))/(2*24).

FAQ

What is Velocity at Radial Distance r1 given Torque Exerted on Fluid?
The Velocity at Radial distance r1 given Torque Exerted on Fluid is defined as the torque exerted on the fluid, resulting in rotational motion or flow and is represented as V1 = (qflow*r2*V2-(τ*Δ))/(r1*qflow) or Velocity at Point 1 = (Rate of Flow*Radial Distance 2*Velocity at Point 2-(Torque Exerted on Fluid*Delta Length))/(Radial Distance 1*Rate of Flow). Rate of Flow is the rate at which a liquid or other substance flows through a particular channel, pipe, etc, Radial Distance 2 in the impulse momentum definition represents the distance from the reference point to the final position, velocity at Point 2 is the velocity of fluid passing through point 2 in a flow, Torque Exerted on Fluid is described as the turning effect of force on the axis of rotation. In brief, it is a moment of force. It is characterized by τ, Delta Length is often used to indicate the difference, or change, in a length of an entity & Radial distance 1 in the impulse momentum definition represents the initial distance from the reference point.
How to calculate Velocity at Radial Distance r1 given Torque Exerted on Fluid?
The Velocity at Radial distance r1 given Torque Exerted on Fluid is defined as the torque exerted on the fluid, resulting in rotational motion or flow is calculated using Velocity at Point 1 = (Rate of Flow*Radial Distance 2*Velocity at Point 2-(Torque Exerted on Fluid*Delta Length))/(Radial Distance 1*Rate of Flow). To calculate Velocity at Radial Distance r1 given Torque Exerted on Fluid, you need Rate of Flow (qflow), Radial Distance 2 (r2), Velocity at Point 2 (V2), Torque Exerted on Fluid (τ), Delta Length (Δ) & Radial Distance 1 (r1). With our tool, you need to enter the respective value for Rate of Flow, Radial Distance 2, Velocity at Point 2, Torque Exerted on Fluid, Delta Length & Radial Distance 1 and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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