Maximum Velocity of Follower during Return Stroke 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%
✖The 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 during Return Stroke for Cycloidal Motion [V_max]

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Formula

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Maximum Velocity of Follower during Return Stroke for Cycloidal Motion

Formula

`"V"_{"max"} = (2*"ω"*"S")/"θ"_{"R"}`

Example

`"33.75m/s"=(2*"27rad/s"*"20m")/"32rad"`

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Maximum Velocity of Follower during Return Stroke 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 return stroke
V_max = (2*ω*S)/θ_R
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 return stroke - (Measured in Radian) - The 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

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 return stroke: 32 Radian --> 32 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_max = (2*ω*S)/θ_R --> (2*27*20)/32

Evaluating ... ...

V_max = 33.75

STEP 3: Convert Result to Output's Unit

33.75 Meter per Second --> No Conversion Required

FINAL ANSWER

33.75 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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< 11 Maximum Velocity of the Follower Calculators

Max Velocity of Follower for Tangent Cam with Roller Follower

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 for Circular Arc Cam Contacting with Circular Flank

Go Maximum velocity of follower = Angular velocity of cam*(Radius of circular flank-Radius of the base circle)*sin(Total angle of action of cam)

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

Go Maximum velocity of follower = (pi*Stroke of Follower*Angular velocity of cam)/(2*Angular displacement of cam during return stroke)

Maximum Velocity of Follower on Outstroke when Follower Moves with SHM

Go Maximum velocity of follower = (pi*Stroke of Follower*Angular velocity of cam)/(2*Angular Displacement of Cam during Out Stroke)

Maximum Velocity of Follower during Return Stroke for Uniform Acceleration

Go Maximum velocity of follower = (2*Stroke of Follower*Angular velocity of cam)/Angular displacement of cam during return stroke

Maximum Velocity of Follower during Return Stroke for Cycloidal Motion

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 at Uniform Acceleration

Go Maximum velocity of follower = (2*Stroke of Follower*Angular velocity of cam)/Angular Displacement of Cam during Out Stroke

Maximum Velocity of Follower during Outstroke for Cycloidal Motion

Go Maximum velocity of follower = (2*Angular velocity of cam*Stroke of Follower)/Angular Displacement of Cam during Out Stroke

Maximum Velocity of Follower on Outstroke given Time Stroke

Go Maximum velocity of follower = (pi*Stroke of Follower)/(2*Time required for the outstroke)

Maximum Velocity of Follower during Return Stroke at Uniform Acceleration given Time of Stroke

Go Maximum velocity of follower = (2*Stroke of Follower)/Time required for the return stroke

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

Go Maximum velocity of follower = (2*Stroke of Follower)/Time required for the outstroke

Maximum Velocity of Follower during Return Stroke for Cycloidal Motion Formula

Maximum velocity of follower = (2*Angular velocity of cam*Stroke of Follower)/Angular displacement of cam during return stroke
V_max = (2*ω*S)/θ_R

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 Return Stroke for Cycloidal Motion?

Maximum Velocity of Follower during Return Stroke for Cycloidal Motion calculator uses Maximum velocity of follower = (2*Angular velocity of cam*Stroke of Follower)/Angular displacement of cam during return stroke to calculate the Maximum velocity of follower, The Maximum velocity of follower during return stroke for Cycloidal motion formula is defined as the rate of change of its position with respect to a frame of reference. Maximum velocity of follower is denoted by V_max symbol.

How to calculate Maximum Velocity of Follower during Return Stroke for Cycloidal Motion using this online calculator? To use this online calculator for Maximum Velocity of Follower during Return Stroke for Cycloidal Motion, enter Angular velocity of cam (ω), Stroke of Follower (S) & Angular displacement of cam during return stroke (θ_R) and hit the calculate button. Here is how the Maximum Velocity of Follower during Return Stroke for Cycloidal Motion calculation can be explained with given input values -> 33.75 = (2*27*20)/32.

FAQ

What is Maximum Velocity of Follower during Return Stroke for Cycloidal Motion?

The Maximum velocity of follower during return stroke for Cycloidal motion formula is defined as the rate of change of its position with respect to a frame of reference and is represented as V_max = (2*ω*S)/θ_R or Maximum velocity of follower = (2*Angular velocity of cam*Stroke of Follower)/Angular displacement of cam during return 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 & The 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 during Return Stroke for Cycloidal Motion?

The Maximum velocity of follower during return stroke for Cycloidal motion formula is defined as the rate of change of its position with respect to a frame of reference is calculated using Maximum velocity of follower = (2*Angular velocity of cam*Stroke of Follower)/Angular displacement of cam during return stroke. To calculate Maximum Velocity of Follower during Return Stroke for Cycloidal Motion, you need Angular velocity of cam (ω), Stroke of Follower (S) & Angular displacement of cam during return stroke (θ_R). With our tool, you need to enter the respective value for Angular velocity of cam, Stroke of Follower & 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 Angular velocity of cam, Stroke of Follower & Angular displacement of cam during return stroke. We can use 10 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
Maximum velocity of follower = (2*Stroke of Follower*Angular velocity of cam)/Angular displacement of cam during return stroke
Maximum velocity of follower = (2*Stroke of Follower)/Time required for the return stroke
Maximum velocity of follower = (2*Stroke of Follower*Angular velocity of cam)/Angular Displacement of Cam during Out Stroke
Maximum velocity of follower = Angular velocity of cam*(Radius of circular flank-Radius of the base circle)*sin(Total angle of action of cam)
Maximum velocity of follower = (pi*Stroke of Follower*Angular velocity of cam)/(2*Angular Displacement of Cam during Out Stroke)
Maximum velocity of follower = (pi*Stroke of Follower*Angular velocity of cam)/(2*Angular displacement of cam during return stroke)
Maximum velocity of follower = (pi*Stroke of Follower)/(2*Time required for the outstroke)

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