Peripheral Speed of Projection of Point P' (Projection of Point P on Dia) for SHM of Follower 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%
✖The 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%

✖Peripheral Speed is the number of linear feet traveled per minute on its outer perimeter (face).ⓘ Peripheral Speed of Projection of Point P' (Projection of Point P on Dia) for SHM of Follower [P_s]

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Formula

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Peripheral Speed of Projection of Point P' (Projection of Point P on Dia) for SHM of Follower

Formula

`"P"_{"s"} = (pi*"S"*"ω")/(2*"θ"_{"o"})`

Example

`"38.55591m/s"=(pi*"20m"*"27rad/s")/(2*"22rad")`

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Peripheral Speed of Projection of Point P' (Projection of Point P on Dia) for SHM of Follower Solution

STEP 0: Pre-Calculation Summary

Formula Used

Peripheral Speed = (pi*Stroke of Follower*Angular velocity of cam)/(2*Angular Displacement of Cam during Out Stroke)
P_s = (pi*S*ω)/(2*θ_o)
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Peripheral Speed - (Measured in Meter per Second) - Peripheral Speed is the number of linear feet traveled per minute on its outer perimeter (face).
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 Out Stroke - (Measured in Radian) - The 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

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 Out Stroke: 22 Radian --> 22 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_s = (pi*S*ω)/(2*θ_o) --> (pi*20*27)/(2*22)

Evaluating ... ...

P_s = 38.5559098395111

STEP 3: Convert Result to Output's Unit

38.5559098395111 Meter per Second --> No Conversion Required

FINAL ANSWER

38.5559098395111 ≈ 38.55591 Meter per Second <-- Peripheral Speed

(Calculation completed in 00.020 seconds)

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Home » Physics » Theory of Machine » Cams » Cam and Follower » Peripheral Speed of Projection of Point P' (Projection of Point P on Dia) for SHM of Follower

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< 13 Cam and Follower Calculators

Displacement of Follower after Time t for Cycloidal Motion

Go Displacement = Stroke of Follower*(Angle through which cam rotates/Angular Displacement of Cam during Out Stroke*180/pi-sin((2*pi*Angle through which cam rotates)/(Angular Displacement of Cam during Out Stroke)))

Velocity of Follower after Time t for Cycloidal Motion

Go Velocity = (Angular velocity of cam*Stroke of Follower)/Angular Displacement of Cam during Out Stroke*(1-cos((2*pi*Angle through which cam rotates)/(Angular Displacement of Cam during Out Stroke)))

Velocity of Follower for Circular Arc Cam if Contact is on Circular Flank

Go Velocity = Angular velocity of cam*(Radius of circular flank-Radius of the base circle)*sin(Angle turned by cam)

Peripheral Speed of Projection of Point P' (Projection of Point P on Dia) for SHM of Follower

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

Displacement of Follower for Circular Arc Cam, there's Contact on Circular Flank

Go Displacement = (Radius of circular flank-Radius of the base circle)*(1-cos(Angle turned by cam))

Peripheral Speed of Projection of Point P on Diameter for SHM of Follower

Go Peripheral Speed = (pi*Stroke of Follower)/(2*Time required for the outstroke)

Time Required by Follower for Return Stroke at Uniform Acceleration

Go Time required for the return stroke = Angular displacement of cam during return stroke/Angular velocity of cam

Time Required for Out Stroke of Follower when Follower Moves with SHM

Go Time required for the outstroke = Angular Displacement of Cam during Out Stroke/Angular velocity of cam

Time Required for Follower during Outstroke for Uniform Acceleration

Go Time required for the outstroke = Angular Displacement of Cam during Out Stroke/Angular velocity of cam

Mean Velocity of Follower during Return Stroke at Uniform Acceleration

Go Mean Velocity = Stroke of Follower/Time required for the return stroke

Mean Velocity of Follower during Outstroke at Uniform Acceleration

Go Mean Velocity = Stroke of Follower/Time required for the outstroke

Condition for Maximum Acceleration of Follower Exhibiting Cycloidal Motion

Go Angle through which cam rotates = Angular Displacement of Cam during Out Stroke/4

Condition for Maximum Velocity of Follower Exhibiting Cycloidal Motion

Go Angle through which cam rotates = Angular Displacement of Cam during Out Stroke/2

Peripheral Speed of Projection of Point P' (Projection of Point P on Dia) for SHM of Follower Formula

Peripheral Speed = (pi*Stroke of Follower*Angular velocity of cam)/(2*Angular Displacement of Cam during Out Stroke)
P_s = (pi*S*ω)/(2*θ_o)

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 Peripheral Speed of Projection of Point P' (Projection of Point P on Dia) for SHM of Follower?

Peripheral Speed of Projection of Point P' (Projection of Point P on Dia) for SHM of Follower calculator uses Peripheral Speed = (pi*Stroke of Follower*Angular velocity of cam)/(2*Angular Displacement of Cam during Out Stroke) to calculate the Peripheral Speed, Peripheral Speed of Projection of Point P' (Projection of Point P on Dia) for SHM of Follower is defined as the number of linear feet traveled per minute on its outer perimeter (face). Peripheral Speed is denoted by P_s symbol.

How to calculate Peripheral Speed of Projection of Point P' (Projection of Point P on Dia) for SHM of Follower using this online calculator? To use this online calculator for Peripheral Speed of Projection of Point P' (Projection of Point P on Dia) for SHM of Follower, enter Stroke of Follower (S), Angular velocity of cam (ω) & Angular Displacement of Cam during Out Stroke (θ_o) and hit the calculate button. Here is how the Peripheral Speed of Projection of Point P' (Projection of Point P on Dia) for SHM of Follower calculation can be explained with given input values -> 38.55591 = (pi*20*27)/(2*22).

FAQ

What is Peripheral Speed of Projection of Point P' (Projection of Point P on Dia) for SHM of Follower?

Peripheral Speed of Projection of Point P' (Projection of Point P on Dia) for SHM of Follower is defined as the number of linear feet traveled per minute on its outer perimeter (face) and is represented as P_s = (pi*S*ω)/(2*θ_o) or Peripheral Speed = (pi*Stroke of Follower*Angular velocity of cam)/(2*Angular Displacement of Cam during Out 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 & The Angular Displacement of Cam during Out Stroke is the angle covered by the follower during forwarding stroke.

How to calculate Peripheral Speed of Projection of Point P' (Projection of Point P on Dia) for SHM of Follower?

Peripheral Speed of Projection of Point P' (Projection of Point P on Dia) for SHM of Follower is defined as the number of linear feet traveled per minute on its outer perimeter (face) is calculated using Peripheral Speed = (pi*Stroke of Follower*Angular velocity of cam)/(2*Angular Displacement of Cam during Out Stroke). To calculate Peripheral Speed of Projection of Point P' (Projection of Point P on Dia) for SHM of Follower, you need Stroke of Follower (S), Angular velocity of cam (ω) & Angular Displacement of Cam during Out Stroke (θ_o). With our tool, you need to enter the respective value for Stroke of Follower, Angular velocity of cam & 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 Peripheral Speed?

In this formula, Peripheral Speed uses Stroke of Follower, Angular velocity of cam & Angular Displacement of Cam during Out Stroke. We can use 1 other way(s) to calculate the same, which is/are as follows -

Peripheral Speed = (pi*Stroke of Follower)/(2*Time required for the outstroke)

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