Belt Velocity given Tension in Belt Due to Centrifugal Force Solution

STEP 0: Pre-Calculation Summary
Formula Used
Belt Velocity = sqrt(Belt Tension due to Centrifugal Force/Mass of Meter Length of Belt)
vb = sqrt(Pc/m)
This formula uses 1 Functions, 3 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Belt Velocity - (Measured in Meter per Second) - Belt Velocity is defined as the velocity of the belt used in a belt drive.
Belt Tension due to Centrifugal Force - (Measured in Newton) - Belt Tension due to Centrifugal Force is defined as the tension induced in the belt due to the centrifugal force.
Mass of Meter Length of Belt - (Measured in Kilogram per Meter) - Mass of Meter Length of Belt is the mass of 1-meter length of the belt simply mass per unit length of the belt.
STEP 1: Convert Input(s) to Base Unit
Belt Tension due to Centrifugal Force: 400 Newton --> 400 Newton No Conversion Required
Mass of Meter Length of Belt: 0.6 Kilogram per Meter --> 0.6 Kilogram per Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
vb = sqrt(Pc/m) --> sqrt(400/0.6)
Evaluating ... ...
vb = 25.8198889747161
STEP 3: Convert Result to Output's Unit
25.8198889747161 Meter per Second --> No Conversion Required
FINAL ANSWER
25.8198889747161 25.81989 Meter per Second <-- Belt Velocity
(Calculation completed in 00.004 seconds)

Credits

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Osmania University (OU), Hyderabad
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21 Maximum Power Conditions Calculators

Optimum Velocity of Belt for Maximum Power Transmission
Go Optimum Velocity of Belt = sqrt(Initial Tension in Belt/(3*Mass of Meter Length of Belt))
Belt Velocity given Tension in Belt Due to Centrifugal Force
Go Belt Velocity = sqrt(Belt Tension due to Centrifugal Force/Mass of Meter Length of Belt)
Velocity of Belt for Maximum Power Transmission given Maximum Permissible tensile Stress
Go Optimum Velocity of Belt = sqrt(Maximum Tension in Belt/3*Mass of Meter Length of Belt)
Maximum Permissible Tensile Stress of Belt Material
Go Tensile Stress in Belt = Maximum Tension in Belt/(Width of Belt*Thickness of Belt)
Thickness of Belt given Maximum Belt Tension
Go Thickness of Belt = Maximum Tension in Belt/(Tensile Stress in Belt*Width of Belt)
Width of Belt given Maximum Belt Tension
Go Width of Belt = Maximum Tension in Belt/(Tensile Stress in Belt*Thickness of Belt)
Maximum Belt Tension
Go Maximum Tension in Belt = Tensile Stress in Belt*Width of Belt*Thickness of Belt
Mass of One Meter Length of Belt given Maximum Permissible Tensile Stress of Belt
Go Mass of Meter Length of Belt = Maximum Tension in Belt/(3*Optimum Velocity of Belt^2)
Mass of One Meter Length of Belt given Tension in Belt Due to Centrifugal Force
Go Mass of Meter Length of Belt = Belt Tension due to Centrifugal Force/Belt Velocity^2
Tension in Belt Due to Centrifugal Force
Go Belt Tension due to Centrifugal Force = Mass of Meter Length of Belt*Belt Velocity^2
Mass of One Meter Length of Belt given Velocity for Maximum Power Transmission
Go Mass of Meter Length of Belt = Initial Tension in Belt/3*Optimum Velocity of Belt^2
Initial Tension in Belt given Velocity of Belt for Maximum Power Transmission
Go Initial Tension in Belt = 3*Mass of Meter Length of Belt*Optimum Velocity of Belt^2
Initial Tension in Belt Drive
Go Initial Tension in Belt = (Belt Tension on Tight Side+Belt Tension on Loose Side)/2
Belt Tension in Tight Side of Belt given Initial Tension in Belt
Go Belt Tension on Tight Side = 2*Initial Tension in Belt-Belt Tension on Loose Side
Belt Tension in Loose Side of Belt given Initial Tension in Belt
Go Belt Tension on Loose Side = 2*Initial Tension in Belt-Belt Tension on Tight Side
Load Correction Factor given Power Transmitted by Flat Belt for Design Purpose
Go Load Correction Factor = Design Power of Belt Drive/Power transmitted by belt
Actual Power Transmitted given Power Transmitted by Flat for Design Purpose
Go Power transmitted by belt = Design Power of Belt Drive/Load Correction Factor
Power Transmitted by Flat Belt for Design Purpose
Go Design Power of Belt Drive = Power transmitted by belt*Load Correction Factor
Belt Tension in Tight Side of Belt given Tension due to Centrifugal Force
Go Belt Tension on Tight Side = 2*Belt Tension due to Centrifugal Force
Tension in Belt Due to Centrifugal Force given Permissible Tensile Stress of Belt Material
Go Belt Tension due to Centrifugal Force = Maximum Tension in Belt/3
Maximum Belt Tension given Tension Due to Centrifugal Force
Go Maximum Tension in Belt = 3*Belt Tension due to Centrifugal Force

Belt Velocity given Tension in Belt Due to Centrifugal Force Formula

Belt Velocity = sqrt(Belt Tension due to Centrifugal Force/Mass of Meter Length of Belt)
vb = sqrt(Pc/m)

Define Centrifugal Force?

A force, arising from the body's inertia, which appears to act on a body moving in a circular path and is directed away from the center around which the body is moving.

How to Calculate Belt Velocity given Tension in Belt Due to Centrifugal Force?

Belt Velocity given Tension in Belt Due to Centrifugal Force calculator uses Belt Velocity = sqrt(Belt Tension due to Centrifugal Force/Mass of Meter Length of Belt) to calculate the Belt Velocity, The Belt Velocity given Tension in Belt Due to Centrifugal Force formula is defined as the velocity of the belt which is used in the belt drives. Belt Velocity is denoted by vb symbol.

How to calculate Belt Velocity given Tension in Belt Due to Centrifugal Force using this online calculator? To use this online calculator for Belt Velocity given Tension in Belt Due to Centrifugal Force, enter Belt Tension due to Centrifugal Force (Pc) & Mass of Meter Length of Belt (m) and hit the calculate button. Here is how the Belt Velocity given Tension in Belt Due to Centrifugal Force calculation can be explained with given input values -> 25.81989 = sqrt(400/0.6).

FAQ

What is Belt Velocity given Tension in Belt Due to Centrifugal Force?
The Belt Velocity given Tension in Belt Due to Centrifugal Force formula is defined as the velocity of the belt which is used in the belt drives and is represented as vb = sqrt(Pc/m) or Belt Velocity = sqrt(Belt Tension due to Centrifugal Force/Mass of Meter Length of Belt). Belt Tension due to Centrifugal Force is defined as the tension induced in the belt due to the centrifugal force & Mass of Meter Length of Belt is the mass of 1-meter length of the belt simply mass per unit length of the belt.
How to calculate Belt Velocity given Tension in Belt Due to Centrifugal Force?
The Belt Velocity given Tension in Belt Due to Centrifugal Force formula is defined as the velocity of the belt which is used in the belt drives is calculated using Belt Velocity = sqrt(Belt Tension due to Centrifugal Force/Mass of Meter Length of Belt). To calculate Belt Velocity given Tension in Belt Due to Centrifugal Force, you need Belt Tension due to Centrifugal Force (Pc) & Mass of Meter Length of Belt (m). With our tool, you need to enter the respective value for Belt Tension due to Centrifugal Force & Mass of Meter Length of Belt 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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