Maximum Velocity of Follower on Return Stroke when Follower Moves with SHM Calculator

✖Stroke of Follower is the greatest distance or angle through which the follower moves or rotates.ⓘ Stroke of Follower [S]			+10% -10%
✖Angular Velocity of Cam refers to how fast an object rotates or revolves relative to another point.ⓘ Angular Velocity of Cam [ω]			+10% -10%
✖Angular Displacement of Cam During Return Stroke is the angle covered by the follower during the return stroke.ⓘ Angular Displacement of Cam During Return Stroke [θ_R]			+10% -10%

✖Maximum Velocity of Follower is the rate of change of its position with respect to a frame of reference and is a function of time.ⓘ Maximum Velocity of Follower on Return Stroke when Follower Moves with SHM [V_m]

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Maximum Velocity of Follower on Return Stroke when Follower Moves with SHM Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Velocity of Follower = (pi*Stroke of Follower*Angular Velocity of Cam)/(2*Angular Displacement of Cam During Return Stroke)
V_m = (pi*S*ω)/(2*θ_R)
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Maximum Velocity of Follower - (Measured in Meter per Second) - Maximum Velocity of Follower is the rate of change of its position with respect to a frame of reference and is a function of time.
Stroke of Follower - (Measured in Meter) - Stroke of Follower is the greatest distance or angle through which the follower moves or rotates.
Angular Velocity of Cam - (Measured in Radian per Second) - Angular Velocity of Cam refers to how fast an object rotates or revolves relative to another point.
Angular Displacement of Cam During Return Stroke - (Measured in Radian) - Angular Displacement of Cam During Return Stroke is the angle covered by the follower during the return stroke.

STEP 1: Convert Input(s) to Base Unit

Stroke of Follower: 20 Meter --> 20 Meter No Conversion Required
Angular Velocity of Cam: 27 Radian per Second --> 27 Radian per Second No Conversion Required
Angular Displacement of Cam During Return Stroke: 13.5 Radian --> 13.5 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_m = (pi*S*ω)/(2*θ_R) --> (pi*20*27)/(2*13.5)

Evaluating ... ...

V_m = 62.8318530717959

STEP 3: Convert Result to Output's Unit

62.8318530717959 Meter per Second --> No Conversion Required

FINAL ANSWER

62.8318530717959 ≈ 62.83185 Meter per Second <-- Maximum Velocity of Follower

(Calculation completed in 00.020 seconds)

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National Institute Of Technology (NIT), Hamirpur

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< Maximum Velocity of the Follower Calculators

Max Velocity of Follower for Tangent Cam with Roller Follower

LaTeX Go Maximum Velocity of Follower = Angular Velocity of Cam*(Radius of The Base Circle+Radius of Roller)*sin(Angle Turned By The Cam For Contact of Roller)/(cos(Angle Turned By The Cam For Contact of Roller)^2)

Maximum Velocity of Follower during Return Stroke for Cycloidal Motion

LaTeX Go Maximum Velocity of Follower = (2*Angular Velocity of Cam*Stroke of Follower)/Angular Displacement of Cam During Return Stroke

Maximum Velocity of Follower during Outstroke for Cycloidal Motion

LaTeX Go Maximum Velocity of Follower = (2*Angular Velocity of Cam*Stroke of Follower)/Angular Displacement of Cam During Out Stroke

Maximum Velocity of Follower during Outstroke at Uniform Acceleration given Time of Out Stroke

LaTeX Go Maximum Velocity of Follower = (2*Stroke of Follower)/Time Required For The Outstroke

Maximum Velocity of Follower on Return Stroke when Follower Moves with SHM Formula

LaTeX Go

Maximum Velocity of Follower = (pi*Stroke of Follower*Angular Velocity of Cam)/(2*Angular Displacement of Cam During Return Stroke)
V_m = (pi*S*ω)/(2*θ_R)

What is a cam and follower used for?

The cam and follower mechanism is widely used for operating the inlet and exhaust valves of internal combustion engines. They are used in wall clocks and the feed mechanism of automatic lathe machines. They are also used in paper cutting machines and weaving textile machinery.

What are the different types of motion with which a follower can move?

The follower may move as a slider, reciprocating in a linear direction, or as a rocker, oscillating around a fixed pivot. There can be overlapping functionality between cams and linkages (such as crank-rockers).

How to Calculate Maximum Velocity of Follower on Return Stroke when Follower Moves with SHM?

Maximum Velocity of Follower on Return Stroke when Follower Moves with SHM calculator uses Maximum Velocity of Follower = (pi*Stroke of Follower*Angular Velocity of Cam)/(2*Angular Displacement of Cam During Return Stroke) to calculate the Maximum Velocity of Follower, Maximum Velocity of Follower on Return Stroke when Follower Moves with SHM formula is defined as the highest speed attained by the follower during its return stroke while moving in simple harmonic motion, which is a critical parameter in designing and optimizing mechanical systems. Maximum Velocity of Follower is denoted by V_m symbol.

How to calculate Maximum Velocity of Follower on Return Stroke when Follower Moves with SHM using this online calculator? To use this online calculator for Maximum Velocity of Follower on Return Stroke when Follower Moves with SHM, enter Stroke of Follower (S), Angular Velocity of Cam (ω) & Angular Displacement of Cam During Return Stroke (θ_R) and hit the calculate button. Here is how the Maximum Velocity of Follower on Return Stroke when Follower Moves with SHM calculation can be explained with given input values -> 26.50719 = (pi*20*27)/(2*13.5).

FAQ

What is Maximum Velocity of Follower on Return Stroke when Follower Moves with SHM?

Maximum Velocity of Follower on Return Stroke when Follower Moves with SHM formula is defined as the highest speed attained by the follower during its return stroke while moving in simple harmonic motion, which is a critical parameter in designing and optimizing mechanical systems and is represented as V_m = (pi*S*ω)/(2*θ_R) or Maximum Velocity of Follower = (pi*Stroke of Follower*Angular Velocity of Cam)/(2*Angular Displacement of Cam During Return Stroke). Stroke of Follower is the greatest distance or angle through which the follower moves or rotates, Angular Velocity of Cam refers to how fast an object rotates or revolves relative to another point & Angular Displacement of Cam During Return Stroke is the angle covered by the follower during the return stroke.

How to calculate Maximum Velocity of Follower on Return Stroke when Follower Moves with SHM?

Maximum Velocity of Follower on Return Stroke when Follower Moves with SHM formula is defined as the highest speed attained by the follower during its return stroke while moving in simple harmonic motion, which is a critical parameter in designing and optimizing mechanical systems is calculated using Maximum Velocity of Follower = (pi*Stroke of Follower*Angular Velocity of Cam)/(2*Angular Displacement of Cam During Return Stroke). To calculate Maximum Velocity of Follower on Return Stroke when Follower Moves with SHM, you need Stroke of Follower (S), Angular Velocity of Cam (ω) & Angular Displacement of Cam During Return Stroke (θ_R). With our tool, you need to enter the respective value for Stroke of Follower, Angular Velocity of Cam & Angular Displacement of Cam During Return Stroke 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 Maximum Velocity of Follower?

In this formula, Maximum Velocity of Follower uses Stroke of Follower, Angular Velocity of Cam & Angular Displacement of Cam During Return Stroke. We can use 3 other way(s) to calculate the same, which is/are as follows -

Maximum Velocity of Follower = Angular Velocity of Cam*(Radius of The Base Circle+Radius of Roller)*sin(Angle Turned By The Cam For Contact of Roller)/(cos(Angle Turned By The Cam For Contact of Roller)^2)
Maximum Velocity of Follower = (2*Angular Velocity of Cam*Stroke of Follower)/Angular Displacement of Cam During Out Stroke
Maximum Velocity of Follower = (2*Stroke of Follower)/Time Required For The Outstroke

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