Speed of Rotation of Shaft given Minimum Linear Velocity of Sprocket Calculator

✖Minimum Linear Velocity of Sprocket is the slowest speed at which a point on the sprocket's circumference moves. It depends on the sprocket's smallest rotational speed and radius.ⓘ Minimum Linear Velocity of Sprocket [v_min]			+10% -10%
✖Pitch Circle Diameter of Sprocket is the diameter of the circle that passes through the centers of the sprocket's teeth.ⓘ Pitch Circle Diameter of Sprocket [D]			+10% -10%
✖Pitch Angle of Sprocket is the angle between the line connecting the centers of two consecutive teeth and the radial line through the center of the sprocket.ⓘ Pitch Angle of Sprocket [α]			+10% -10%

✖Speed of Chain Drive Shaft in RPM is the number of revolutions the shaft completes in one minute. It indicates the rotational speed at which the chain drive operates.ⓘ Speed of Rotation of Shaft given Minimum Linear Velocity of Sprocket [N]

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Speed of Rotation of Shaft given Minimum Linear Velocity of Sprocket Solution

STEP 0: Pre-Calculation Summary

Formula Used

Speed of Chain Drive Shaft in RPM = 60*Minimum Linear Velocity of Sprocket/(Pitch Circle Diameter of Sprocket*pi*cos(Pitch Angle of Sprocket/2))
N = 60*v_min/(D*pi*cos(α/2))
This formula uses 1 Constants, 1 Functions, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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

Speed of Chain Drive Shaft in RPM - Speed of Chain Drive Shaft in RPM is the number of revolutions the shaft completes in one minute. It indicates the rotational speed at which the chain drive operates.
Minimum Linear Velocity of Sprocket - (Measured in Meter per Second) - Minimum Linear Velocity of Sprocket is the slowest speed at which a point on the sprocket's circumference moves. It depends on the sprocket's smallest rotational speed and radius.
Pitch Circle Diameter of Sprocket - (Measured in Meter) - Pitch Circle Diameter of Sprocket is the diameter of the circle that passes through the centers of the sprocket's teeth.
Pitch Angle of Sprocket - (Measured in Radian) - Pitch Angle of Sprocket is the angle between the line connecting the centers of two consecutive teeth and the radial line through the center of the sprocket.

STEP 1: Convert Input(s) to Base Unit

Minimum Linear Velocity of Sprocket: 2.877262 Meter per Second --> 2.877262 Meter per Second No Conversion Required
Pitch Circle Diameter of Sprocket: 164.2479 Millimeter --> 0.1642479 Meter (Check conversion here)
Pitch Angle of Sprocket: 96 Degree --> 1.67551608191424 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N = 60*v_min/(D*pi*cos(α/2)) --> 60*2.877262/(0.1642479*pi*cos(1.67551608191424/2))

Evaluating ... ...

N = 500.000072103047

STEP 3: Convert Result to Output's Unit

500.000072103047 --> No Conversion Required

FINAL ANSWER

500.000072103047 ≈ 500.0001 <-- Speed of Chain Drive Shaft in RPM

(Calculation completed in 00.004 seconds)

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< Polygonal Effect Calculators

Minimum Linear Velocity of Sprocket

LaTeX Go Minimum Linear Velocity of Sprocket = pi*Pitch Circle Diameter of Sprocket*Speed of Chain Drive Shaft in RPM*cos(Pitch Angle of Sprocket/2)/60

Pitch Circle Diameter of Sprocket given Linear Velocity of Sprocket

LaTeX Go Pitch Circle Diameter of Sprocket = Linear Velocity of Sprocket*60/(pi*Speed of Chain Drive Shaft in RPM)

Speed of Rotation of Shaft given Linear Velocity of Sprocket

LaTeX Go Speed of Chain Drive Shaft in RPM = Linear Velocity of Sprocket*60/(pi*Pitch Circle Diameter of Sprocket)

Linear Velocity of Sprocket

LaTeX Go Linear Velocity of Sprocket = pi*Pitch Circle Diameter of Sprocket*Speed of Chain Drive Shaft in RPM/60

Speed of Rotation of Shaft given Minimum Linear Velocity of Sprocket Formula

LaTeX Go

Speed of Chain Drive Shaft in RPM = 60*Minimum Linear Velocity of Sprocket/(Pitch Circle Diameter of Sprocket*pi*cos(Pitch Angle of Sprocket/2))
N = 60*v_min/(D*pi*cos(α/2))

What is Linear velocity?

Linear velocity is the rate at which an object moves along a straight path or in a specific direction. It measures how quickly the position of the object changes with time and is typically expressed in units like meters per second or feet per second. Linear velocity is different from angular velocity, which pertains to rotational motion.

How to Calculate Speed of Rotation of Shaft given Minimum Linear Velocity of Sprocket?

Speed of Rotation of Shaft given Minimum Linear Velocity of Sprocket calculator uses Speed of Chain Drive Shaft in RPM = 60*Minimum Linear Velocity of Sprocket/(Pitch Circle Diameter of Sprocket*pi*cos(Pitch Angle of Sprocket/2)) to calculate the Speed of Chain Drive Shaft in RPM, Speed of Rotation of Shaft given Minimum Linear Velocity of Sprocket formula is defined as the rotational speed of a shaft in relation to the minimum linear velocity of a sprocket, providing a critical parameter in mechanical systems, particularly in power transmission and conveyor belt applications. Speed of Chain Drive Shaft in RPM is denoted by N symbol.

How to calculate Speed of Rotation of Shaft given Minimum Linear Velocity of Sprocket using this online calculator? To use this online calculator for Speed of Rotation of Shaft given Minimum Linear Velocity of Sprocket, enter Minimum Linear Velocity of Sprocket (v_min), Pitch Circle Diameter of Sprocket (D) & Pitch Angle of Sprocket (α) and hit the calculate button. Here is how the Speed of Rotation of Shaft given Minimum Linear Velocity of Sprocket calculation can be explained with given input values -> 481.8158 = 60*2.877262/(0.1642479*pi*cos(1.67551608191424/2)).

FAQ

What is Speed of Rotation of Shaft given Minimum Linear Velocity of Sprocket?

Speed of Rotation of Shaft given Minimum Linear Velocity of Sprocket formula is defined as the rotational speed of a shaft in relation to the minimum linear velocity of a sprocket, providing a critical parameter in mechanical systems, particularly in power transmission and conveyor belt applications and is represented as N = 60*v_min/(D*pi*cos(α/2)) or Speed of Chain Drive Shaft in RPM = 60*Minimum Linear Velocity of Sprocket/(Pitch Circle Diameter of Sprocket*pi*cos(Pitch Angle of Sprocket/2)). Minimum Linear Velocity of Sprocket is the slowest speed at which a point on the sprocket's circumference moves. It depends on the sprocket's smallest rotational speed and radius, Pitch Circle Diameter of Sprocket is the diameter of the circle that passes through the centers of the sprocket's teeth & Pitch Angle of Sprocket is the angle between the line connecting the centers of two consecutive teeth and the radial line through the center of the sprocket.

How to calculate Speed of Rotation of Shaft given Minimum Linear Velocity of Sprocket?

Speed of Rotation of Shaft given Minimum Linear Velocity of Sprocket formula is defined as the rotational speed of a shaft in relation to the minimum linear velocity of a sprocket, providing a critical parameter in mechanical systems, particularly in power transmission and conveyor belt applications is calculated using Speed of Chain Drive Shaft in RPM = 60*Minimum Linear Velocity of Sprocket/(Pitch Circle Diameter of Sprocket*pi*cos(Pitch Angle of Sprocket/2)). To calculate Speed of Rotation of Shaft given Minimum Linear Velocity of Sprocket, you need Minimum Linear Velocity of Sprocket (v_min), Pitch Circle Diameter of Sprocket (D) & Pitch Angle of Sprocket (α). With our tool, you need to enter the respective value for Minimum Linear Velocity of Sprocket, Pitch Circle Diameter of Sprocket & Pitch Angle of Sprocket 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 Speed of Chain Drive Shaft in RPM?

In this formula, Speed of Chain Drive Shaft in RPM uses Minimum Linear Velocity of Sprocket, Pitch Circle Diameter of Sprocket & Pitch Angle of Sprocket. We can use 1 other way(s) to calculate the same, which is/are as follows -

Speed of Chain Drive Shaft in RPM = Linear Velocity of Sprocket*60/(pi*Pitch Circle Diameter of Sprocket)

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