Maximum Velocity of Follower during Outstroke for Cycloidal Motion Calculator

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

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Maximum Velocity of Follower during Outstroke for Cycloidal Motion Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Velocity of Follower = (2*Angular Velocity of Cam*Stroke of Follower)/Angular Displacement of Cam During Out Stroke
V_m = (2*ω*S)/θ_o
This formula uses 4 Variables

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.
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.
Stroke of Follower - (Measured in Meter) - Stroke of Follower is the greatest distance or angle through which the follower moves or rotates.
Angular Displacement of Cam During Out Stroke - (Measured in Radian) - Angular Displacement of Cam During Out Stroke is the angle covered by the follower during forwarding stroke.

STEP 1: Convert Input(s) to Base Unit

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_m = (2*ω*S)/θ_o --> (2*27*20)/13.5

Evaluating ... ...

V_m = 80

STEP 3: Convert Result to Output's Unit

80 Meter per Second --> No Conversion Required

FINAL ANSWER

80 Meter per Second <-- Maximum Velocity of Follower

(Calculation completed in 00.004 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 during Outstroke for Cycloidal Motion Formula

LaTeX Go

Maximum Velocity of Follower = (2*Angular Velocity of Cam*Stroke of Follower)/Angular Displacement of Cam During Out Stroke
V_m = (2*ω*S)/θ_o

What is cycloidal motion?

In geometry, a cycloid is a curve traced by a point on a circle as it rolls along a straight line without slipping. A cycloid is a specific form of trochoid and is an example of a roulette, a curve generated by a curve rolling on another curve.

How to Calculate Maximum Velocity of Follower during Outstroke for Cycloidal Motion?

Maximum Velocity of Follower during Outstroke for Cycloidal Motion calculator uses Maximum Velocity of Follower = (2*Angular Velocity of Cam*Stroke of Follower)/Angular Displacement of Cam During Out Stroke to calculate the Maximum Velocity of Follower, Maximum Velocity of Follower during Outstroke for Cycloidal Motion formula is defined as the highest speed attained by the follower during the outstroke phase of cycloidal motion, which is a fundamental concept in mechanical systems and kinematics, particularly in the design and analysis of mechanical linkages and cam systems. Maximum Velocity of Follower is denoted by V_m symbol.

How to calculate Maximum Velocity of Follower during Outstroke for Cycloidal Motion using this online calculator? To use this online calculator for Maximum Velocity of Follower during Outstroke for Cycloidal Motion, enter Angular Velocity of Cam (ω), Stroke of Follower (S) & Angular Displacement of Cam During Out Stroke (θ_o) and hit the calculate button. Here is how the Maximum Velocity of Follower during Outstroke for Cycloidal Motion calculation can be explained with given input values -> 80 = (2*27*20)/13.5.

FAQ

What is Maximum Velocity of Follower during Outstroke for Cycloidal Motion?

Maximum Velocity of Follower during Outstroke for Cycloidal Motion formula is defined as the highest speed attained by the follower during the outstroke phase of cycloidal motion, which is a fundamental concept in mechanical systems and kinematics, particularly in the design and analysis of mechanical linkages and cam systems and is represented as V_m = (2*ω*S)/θ_o or Maximum Velocity of Follower = (2*Angular Velocity of Cam*Stroke of Follower)/Angular Displacement of Cam During Out Stroke. Angular Velocity of Cam refers to how fast an object rotates or revolves relative to another point, Stroke of Follower is the greatest distance or angle through which the follower moves or rotates & Angular Displacement of Cam During Out Stroke is the angle covered by the follower during forwarding stroke.

How to calculate Maximum Velocity of Follower during Outstroke for Cycloidal Motion?

Maximum Velocity of Follower during Outstroke for Cycloidal Motion formula is defined as the highest speed attained by the follower during the outstroke phase of cycloidal motion, which is a fundamental concept in mechanical systems and kinematics, particularly in the design and analysis of mechanical linkages and cam systems is calculated using Maximum Velocity of Follower = (2*Angular Velocity of Cam*Stroke of Follower)/Angular Displacement of Cam During Out Stroke. To calculate Maximum Velocity of Follower during Outstroke for Cycloidal Motion, you need Angular Velocity of Cam (ω), Stroke of Follower (S) & Angular Displacement of Cam During Out Stroke (θ_o). With our tool, you need to enter the respective value for Angular Velocity of Cam, Stroke of Follower & Angular Displacement of Cam During Out 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 Angular Velocity of Cam, Stroke of Follower & Angular Displacement of Cam During Out 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*Stroke of Follower)/Time Required For The Outstroke
Maximum Velocity of Follower = (2*Angular Velocity of Cam*Stroke of Follower)/Angular Displacement of Cam During Return Stroke

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