Maximum Acceleration of Follower for Circular Arc Cam Contacting with Circular Flank Solution

STEP 0: Pre-Calculation Summary
Formula Used
Maximum Acceleration = Angular velocity of cam^2*(Radius of circular flank-Radius of the base circle)
amax = ω^2*(R-r1)
This formula uses 4 Variables
Variables Used
Maximum Acceleration - (Measured in Meter per Square Second) - Maximum Acceleration is the rate of change of the velocity of an object with respect to 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.
Radius of circular flank - (Measured in Meter) - Radius of circular flank is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length.
Radius of the base circle - (Measured in Meter) - Radius of the base circle is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length.
STEP 1: Convert Input(s) to Base Unit
Angular velocity of cam: 27 Radian per Second --> 27 Radian per Second No Conversion Required
Radius of circular flank: 5 Meter --> 5 Meter No Conversion Required
Radius of the base circle: 3 Meter --> 3 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
amax = ω^2*(R-r1) --> 27^2*(5-3)
Evaluating ... ...
amax = 1458
STEP 3: Convert Result to Output's Unit
1458 Meter per Square Second --> No Conversion Required
FINAL ANSWER
1458 Meter per Square Second <-- Maximum Acceleration
(Calculation completed in 00.020 seconds)

Credits

Created by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
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Verified by Payal Priya
Birsa Institute of Technology (BIT), Sindri
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12 Maximum Accelaration Calculators

Maximum Acceleration of Follower for Tangent Cam with Roller Follower
Go Maximum Acceleration = Angular velocity of cam^2*(Radius of the base circle+Radius of Roller)*((2-(cos(Angle turned by the cam for contact of roller))^2)/((cos(Angle turned by the cam for contact of roller))^3))
Max Acceleration of Follower during Return Stroke if Follower Stroke is Known Uniform Acceleration
Go Maximum Acceleration = (4*Angular velocity of cam*Stroke of Follower)/(Angular displacement of cam during return stroke*Time required for the return stroke)
Max Acceleration of Follower during Outstroke if Stroke of Follower is known Uniform Acceleration
Go Maximum Acceleration = (4*Angular velocity of cam*Stroke of Follower)/(Angular Displacement of Cam during Out Stroke*Time required for the outstroke)
Maximum Acceleration of Follower during Return Stroke for Cycloidal Motion
Go Maximum Acceleration = (2*pi*Angular velocity of cam^2*Stroke of Follower)/(Angular displacement of cam during return stroke^2)
Maximum Acceleration of Follower during Outstroke for Cycloidal Motion
Go Maximum Acceleration = (2*pi *Angular velocity of cam^2*Stroke of Follower)/(Angular Displacement of Cam during Out Stroke^2)
Maximum Acceleration of Follower on Return Stroke when Follower Moves with SHM
Go Maximum Acceleration = (pi^2*Angular velocity of cam^2*Stroke of Follower)/(2*Angular displacement of cam during return stroke^2)
Maximum Acceleration of Follower on Outstroke when Follower Moves with SHM
Go Maximum Acceleration = (pi^2*Angular velocity of cam^2*Stroke of Follower)/(2*Angular Displacement of Cam during Out Stroke^2)
Maximum Uniform Acceleration of Follower during Return Stroke
Go Maximum Acceleration = (4*Angular velocity of cam^2*Stroke of Follower)/(Angular displacement of cam during return stroke^2)
Maximum Uniform Acceleration of Follower during Outstroke
Go Maximum Acceleration = (4*Angular velocity of cam^2*Stroke of Follower)/(Angular Displacement of Cam during Out Stroke^2)
Maximum Acceleration of Follower for Circular Arc Cam Contacting with Circular Flank
Go Maximum Acceleration = Angular velocity of cam^2*(Radius of circular flank-Radius of the base circle)
Max Acceleration of Follower during Return Stroke if Follower Speed is known Uniform Acceleration
Go Maximum Acceleration = (2*Maximum velocity of follower)/Time required for the return stroke
Max Acceleration of Follower during Outstroke if Outstroke Velocity is known Uniform Acceleration
Go Maximum Acceleration = (2*Maximum velocity of follower)/Time required for the outstroke

Maximum Acceleration of Follower for Circular Arc Cam Contacting with Circular Flank Formula

Maximum Acceleration = Angular velocity of cam^2*(Radius of circular flank-Radius of the base circle)
amax = ω^2*(R-r1)

what is circular arc cam?

When the flanks of the cam connecting the nose and base circles are of a convex circular arc, such cams are referred to as circular arc cams.

How to Calculate Maximum Acceleration of Follower for Circular Arc Cam Contacting with Circular Flank?

Maximum Acceleration of Follower for Circular Arc Cam Contacting with Circular Flank calculator uses Maximum Acceleration = Angular velocity of cam^2*(Radius of circular flank-Radius of the base circle) to calculate the Maximum Acceleration, The Maximum Acceleration of Follower for Circular Arc Cam Contacting with Circular Flank formula is defined as the rate of change of the velocity of an object with respect to time. Maximum Acceleration is denoted by amax symbol.

How to calculate Maximum Acceleration of Follower for Circular Arc Cam Contacting with Circular Flank using this online calculator? To use this online calculator for Maximum Acceleration of Follower for Circular Arc Cam Contacting with Circular Flank, enter Angular velocity of cam (ω), Radius of circular flank (R) & Radius of the base circle (r1) and hit the calculate button. Here is how the Maximum Acceleration of Follower for Circular Arc Cam Contacting with Circular Flank calculation can be explained with given input values -> -2128.68 = 27^2*(5-3).

FAQ

What is Maximum Acceleration of Follower for Circular Arc Cam Contacting with Circular Flank?
The Maximum Acceleration of Follower for Circular Arc Cam Contacting with Circular Flank formula is defined as the rate of change of the velocity of an object with respect to time and is represented as amax = ω^2*(R-r1) or Maximum Acceleration = Angular velocity of cam^2*(Radius of circular flank-Radius of the base circle). Angular velocity of cam refers to how fast an object rotates or revolves relative to another point, Radius of circular flank is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length & Radius of the base circle is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length.
How to calculate Maximum Acceleration of Follower for Circular Arc Cam Contacting with Circular Flank?
The Maximum Acceleration of Follower for Circular Arc Cam Contacting with Circular Flank formula is defined as the rate of change of the velocity of an object with respect to time is calculated using Maximum Acceleration = Angular velocity of cam^2*(Radius of circular flank-Radius of the base circle). To calculate Maximum Acceleration of Follower for Circular Arc Cam Contacting with Circular Flank, you need Angular velocity of cam (ω), Radius of circular flank (R) & Radius of the base circle (r1). With our tool, you need to enter the respective value for Angular velocity of cam, Radius of circular flank & Radius of the base circle 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 Acceleration?
In this formula, Maximum Acceleration uses Angular velocity of cam, Radius of circular flank & Radius of the base circle. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • Maximum Acceleration = (4*Angular velocity of cam^2*Stroke of Follower)/(Angular displacement of cam during return stroke^2)
  • Maximum Acceleration = (4*Angular velocity of cam^2*Stroke of Follower)/(Angular Displacement of Cam during Out Stroke^2)
  • Maximum Acceleration = (pi^2*Angular velocity of cam^2*Stroke of Follower)/(2*Angular displacement of cam during return stroke^2)
  • Maximum Acceleration = (pi^2*Angular velocity of cam^2*Stroke of Follower)/(2*Angular Displacement of Cam during Out Stroke^2)
  • Maximum Acceleration = Angular velocity of cam^2*(Radius of the base circle+Radius of Roller)*((2-(cos(Angle turned by the cam for contact of roller))^2)/((cos(Angle turned by the cam for contact of roller))^3))
  • Maximum Acceleration = (2*pi*Angular velocity of cam^2*Stroke of Follower)/(Angular displacement of cam during return stroke^2)
  • Maximum Acceleration = (2*pi *Angular velocity of cam^2*Stroke of Follower)/(Angular Displacement of Cam during Out Stroke^2)
  • Maximum Acceleration = (4*Angular velocity of cam*Stroke of Follower)/(Angular displacement of cam during return stroke*Time required for the return stroke)
  • Maximum Acceleration = (2*Maximum velocity of follower)/Time required for the return stroke
  • Maximum Acceleration = (4*Angular velocity of cam*Stroke of Follower)/(Angular Displacement of Cam during Out Stroke*Time required for the outstroke)
  • Maximum Acceleration = (2*Maximum velocity of follower)/Time required for the outstroke
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