Centripetal Acceleration of Point P on Circumference Solution

STEP 0: Pre-Calculation Summary
Formula Used
Centripetal acceleration = (pi^2*Angular velocity of cam^2*Stroke of Follower)/(2*Angular Displacement of Cam during Out Stroke^2)
ac = (pi^2*ω^2*S)/(2*θo^2)
This formula uses 1 Constants, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Centripetal acceleration - (Measured in Meter per Square Second) - Centripetal acceleration is property of the motion of a body traversing a circular path.
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) - 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
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: 22 Radian --> 22 Radian No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ac = (pi^2*ω^2*S)/(2*θo^2) --> (pi^2*27^2*20)/(2*22^2)
Evaluating ... ...
ac = 148.655818355251
STEP 3: Convert Result to Output's Unit
148.655818355251 Meter per Square Second --> No Conversion Required
FINAL ANSWER
148.655818355251 148.6558 Meter per Square Second <-- Centripetal acceleration
(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur
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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 Formula

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

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?

Centripetal Acceleration of Point P on Circumference calculator uses Centripetal acceleration = (pi^2*Angular velocity of cam^2*Stroke of Follower)/(2*Angular Displacement of Cam during Out Stroke^2) to calculate the Centripetal acceleration, The Centripetal acceleration of point P on circumference when the follower moves with the SHM formula is defined as the rate of change of the velocity of an object with respect to time. Centripetal acceleration is denoted by ac symbol.

How to calculate Centripetal Acceleration of Point P on Circumference using this online calculator? To use this online calculator for Centripetal Acceleration of Point P on Circumference, enter Angular velocity of cam (ω), Stroke of Follower (S) & Angular Displacement of Cam during Out Stroke o) and hit the calculate button. Here is how the Centripetal Acceleration of Point P on Circumference calculation can be explained with given input values -> 148.6558 = (pi^2*27^2*20)/(2*22^2).

FAQ

What is Centripetal Acceleration of Point P on Circumference?
The Centripetal acceleration of point P on circumference when the follower moves with the SHM formula is defined as the rate of change of the velocity of an object with respect to time and is represented as ac = (pi^2*ω^2*S)/(2*θo^2) or Centripetal acceleration = (pi^2*Angular velocity of cam^2*Stroke of Follower)/(2*Angular Displacement of Cam during Out Stroke^2). 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 Out Stroke is the angle covered by the follower during forwarding stroke.
How to calculate Centripetal Acceleration of Point P on Circumference?
The Centripetal acceleration of point P on circumference when the follower moves with the SHM formula is defined as the rate of change of the velocity of an object with respect to time is calculated using Centripetal acceleration = (pi^2*Angular velocity of cam^2*Stroke of Follower)/(2*Angular Displacement of Cam during Out Stroke^2). To calculate Centripetal Acceleration of Point P on Circumference, you need Angular velocity of cam (ω), Stroke of Follower (S) & Angular Displacement of Cam during Out Stroke 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 Centripetal acceleration?
In this formula, Centripetal acceleration uses Angular velocity of cam, Stroke of Follower & Angular Displacement of Cam during Out Stroke. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Centripetal acceleration = (2*Peripheral Speed^2)/(Stroke of Follower)
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