Centripetal Acceleration of Point P on Circumference when Follower Moves with SHM Calculator

✖Peripheral Speed is the number of linear feet traveled per minute on its outer perimeter (face).ⓘ Peripheral Speed [P_s]			+10% -10%
✖Stroke of Follower is the greatest distance or angle through which the follower moves or rotates.ⓘ Stroke of Follower [S]			+10% -10%

✖Centripetal acceleration is property of the motion of a body traversing a circular path.ⓘ Centripetal Acceleration of Point P on Circumference when Follower Moves with SHM [a_c]

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Formula

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Centripetal Acceleration of Point P on Circumference when Follower Moves with SHM

Formula

`"a"_{"c"} = (2*"P"_{"s"}^2)/("S")`

Example

`"25.6m/s²"=(2*("16m/s")^2)/("20m")`

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Centripetal Acceleration of Point P on Circumference when Follower Moves with SHM Solution

STEP 0: Pre-Calculation Summary

Formula Used

Centripetal acceleration = (2*Peripheral Speed^2)/(Stroke of Follower)
a_c = (2*P_s^2)/(S)
This formula uses 3 Variables

Variables Used

Centripetal acceleration - (Measured in Meter per Square Second) - Centripetal acceleration is property of the motion of a body traversing a circular path.
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.

STEP 1: Convert Input(s) to Base Unit

Peripheral Speed: 16 Meter per Second --> 16 Meter per Second No Conversion Required
Stroke of Follower: 20 Meter --> 20 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a_c = (2*P_s^2)/(S) --> (2*16^2)/(20)

Evaluating ... ...

a_c = 25.6

STEP 3: Convert Result to Output's Unit

25.6 Meter per Square Second --> No Conversion Required

FINAL ANSWER

25.6 Meter per Square Second <-- Centripetal acceleration

(Calculation completed in 00.020 seconds)

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< 8 Acceleration Of The Follower Calculators

Acceleration of Follower of Roller Follower Tangent Cam, there's Contact with Nose

Go Acceleration of follower = Angular velocity of cam^2*Distance b/w cam center and nose center*(cos(Angle turned by cam when roller is at nose top)+(Distance b/w roller centre and nose centre^2*Distance b/w cam center and nose center*cos(2*Angle turned by cam when roller is at nose top)+Distance b/w cam center and nose center^3*(sin(Angle turned by cam when roller is at nose top))^4)/sqrt(Distance b/w roller centre and nose centre^2-Distance b/w cam center and nose center^2*(sin(Angle turned by cam when roller is at nose top))^2))

Acceleration of Follower after Time t for Cycloidal Motion

Go Acceleration of follower = (2*pi*Angular velocity of cam^2*Stroke of Follower)/(Angular Displacement of Cam during Out Stroke^2)*sin((2*pi*Angle through which cam rotates)/(Angular Displacement of Cam during Out Stroke))

Acceleration of Follower for Roller Follower Tangent Cam, there's Contact with Straight Flanks

Go Acceleration of follower = Angular velocity of cam^2*(Radius of the base circle+Radius of Roller)*(2-cos(Angle turned by cam from beginning of roller))^2/((cos(Angle turned by cam from beginning of roller))^3)

Minimum Acceleration of Follower for Circular Arc Cam Contacting with Circular Flank

Go Acceleration of follower = Angular velocity of cam^2*(Radius of circular flank-Radius of the base circle)*cos(Total angle of action of cam)

Acceleration of Follower for Circular Arc Cam if there's Contact on Circular Flank

Go Acceleration of follower = Angular velocity of cam^2*(Radius of circular flank-Radius of the base circle)*cos(Angle turned by cam)

Centripetal Acceleration of Point P on Circumference

Go Centripetal acceleration = (pi^2*Angular velocity of cam^2*Stroke of Follower)/(2*Angular Displacement of Cam during Out Stroke^2)

Minimum Acceleration of Follower for Tangent Cam with Roller Follower

Go Acceleration of follower = Angular velocity of cam^2*(Radius of the base circle+Radius of Roller)

Centripetal Acceleration of Point P on Circumference when Follower Moves with SHM

Go Centripetal acceleration = (2*Peripheral Speed^2)/(Stroke of Follower)

Centripetal Acceleration of Point P on Circumference when Follower Moves with SHM Formula

Centripetal acceleration = (2*Peripheral Speed^2)/(Stroke of Follower)
a_c = (2*P_s^2)/(S)

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 Centripetal Acceleration of Point P on Circumference when Follower Moves with SHM?

Centripetal Acceleration of Point P on Circumference when Follower Moves with SHM calculator uses Centripetal acceleration = (2*Peripheral Speed^2)/(Stroke of Follower) to calculate the Centripetal acceleration, The Centripetal acceleration of point P on circumference when follower moves with SHM formula is defined as the rate of change of the velocity of an object with respect to time. Centripetal acceleration is denoted by a_c symbol.

How to calculate Centripetal Acceleration of Point P on Circumference when Follower Moves with SHM using this online calculator? To use this online calculator for Centripetal Acceleration of Point P on Circumference when Follower Moves with SHM, enter Peripheral Speed (P_s) & Stroke of Follower (S) and hit the calculate button. Here is how the Centripetal Acceleration of Point P on Circumference when Follower Moves with SHM calculation can be explained with given input values -> 25.6 = (2*16^2)/(20).

FAQ

What is Centripetal Acceleration of Point P on Circumference when Follower Moves with SHM?

The Centripetal acceleration of point P on circumference when follower moves with SHM formula is defined as the rate of change of the velocity of an object with respect to time and is represented as a_c = (2*P_s^2)/(S) or Centripetal acceleration = (2*Peripheral Speed^2)/(Stroke of Follower). Peripheral Speed is the number of linear feet traveled per minute on its outer perimeter (face) & Stroke of Follower is the greatest distance or angle through which the follower moves or rotates.

How to calculate Centripetal Acceleration of Point P on Circumference when Follower Moves with SHM?

The Centripetal acceleration of point P on circumference when follower moves with SHM formula is defined as the rate of change of the velocity of an object with respect to time is calculated using Centripetal acceleration = (2*Peripheral Speed^2)/(Stroke of Follower). To calculate Centripetal Acceleration of Point P on Circumference when Follower Moves with SHM, you need Peripheral Speed (P_s) & Stroke of Follower (S). With our tool, you need to enter the respective value for Peripheral Speed & Stroke of Follower 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 Centripetal acceleration?

In this formula, Centripetal acceleration uses Peripheral Speed & Stroke of Follower. We can use 1 other way(s) to calculate the same, which is/are as follows -

Centripetal acceleration = (pi^2*Angular velocity of cam^2*Stroke of Follower)/(2*Angular Displacement of Cam during Out Stroke^2)

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