Max Acceleration of Follower during Return Stroke if Follower Speed is known Uniform Acceleration Solution

STEP 0: Pre-Calculation Summary
Formula Used
Maximum Acceleration = (2*Maximum Velocity of Follower)/Time Required for the Return Stroke
amax = (2*Vmax)/tR
This formula uses 3 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.
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.
Time Required for the Return Stroke - (Measured in Second) - The time required for the return stroke is the time taken to cover angular displacement during the return stroke.
STEP 1: Convert Input(s) to Base Unit
Maximum Velocity of Follower: 49.1 Meter per Second --> 49.1 Meter per Second No Conversion Required
Time Required for the Return Stroke: 4.5 Second --> 4.5 Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
amax = (2*Vmax)/tR --> (2*49.1)/4.5
Evaluating ... ...
amax = 21.8222222222222
STEP 3: Convert Result to Output's Unit
21.8222222222222 Meter per Square Second --> No Conversion Required
FINAL ANSWER
21.8222222222222 21.82222 Meter per Square Second <-- Maximum Acceleration
(Calculation completed in 00.020 seconds)

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Acceleration of the Follower Calculators

Acceleration of Follower of Roller Follower Tangent Cam, there's Contact with Nose
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ 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)
Acceleration of Follower for Circular Arc Cam if there's Contact on Circular Flank
​ LaTeX ​ Go Acceleration of Follower = Angular Velocity of Cam^2*(Radius of Circular Flank-Radius of the Base Circle)*cos(Angle Turned by Cam)

Max Acceleration of Follower during Return Stroke if Follower Speed is known Uniform Acceleration Formula

​LaTeX ​Go
Maximum Acceleration = (2*Maximum Velocity of Follower)/Time Required for the Return Stroke
amax = (2*Vmax)/tR

Define follower motion with uniform acceleration and retardation.

Follower motion with uniform acceleration and retardation (UARM), here, the displacement of the follower varies parabolically with respect to the angular displacement of the cam. Accordingly, the velocity of the follower varies uniformly with respect to the angular displacement of the cam.

How to Calculate Max Acceleration of Follower during Return Stroke if Follower Speed is known Uniform Acceleration?

Max Acceleration of Follower during Return Stroke if Follower Speed is known Uniform Acceleration calculator uses Maximum Acceleration = (2*Maximum Velocity of Follower)/Time Required for the Return Stroke to calculate the Maximum Acceleration, Max Acceleration of Follower during Return Stroke if Follower Speed is known Uniform Acceleration formula is defined as the maximum acceleration of the follower during its return stroke, which is a critical parameter in the kinematic analysis of mechanical systems, particularly in the design of cam-follower mechanisms. Maximum Acceleration is denoted by amax symbol.

How to calculate Max Acceleration of Follower during Return Stroke if Follower Speed is known Uniform Acceleration using this online calculator? To use this online calculator for Max Acceleration of Follower during Return Stroke if Follower Speed is known Uniform Acceleration, enter Maximum Velocity of Follower (Vmax) & Time Required for the Return Stroke (tR) and hit the calculate button. Here is how the Max Acceleration of Follower during Return Stroke if Follower Speed is known Uniform Acceleration calculation can be explained with given input values -> 12.275 = (2*49.1)/4.5.

FAQ

What is Max Acceleration of Follower during Return Stroke if Follower Speed is known Uniform Acceleration?
Max Acceleration of Follower during Return Stroke if Follower Speed is known Uniform Acceleration formula is defined as the maximum acceleration of the follower during its return stroke, which is a critical parameter in the kinematic analysis of mechanical systems, particularly in the design of cam-follower mechanisms and is represented as amax = (2*Vmax)/tR or Maximum Acceleration = (2*Maximum Velocity of Follower)/Time Required for the Return Stroke. 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 & The time required for the return stroke is the time taken to cover angular displacement during the return stroke.
How to calculate Max Acceleration of Follower during Return Stroke if Follower Speed is known Uniform Acceleration?
Max Acceleration of Follower during Return Stroke if Follower Speed is known Uniform Acceleration formula is defined as the maximum acceleration of the follower during its return stroke, which is a critical parameter in the kinematic analysis of mechanical systems, particularly in the design of cam-follower mechanisms is calculated using Maximum Acceleration = (2*Maximum Velocity of Follower)/Time Required for the Return Stroke. To calculate Max Acceleration of Follower during Return Stroke if Follower Speed is known Uniform Acceleration, you need Maximum Velocity of Follower (Vmax) & Time Required for the Return Stroke (tR). With our tool, you need to enter the respective value for Maximum Velocity of Follower & Time Required for the 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 Acceleration?
In this formula, Maximum Acceleration uses Maximum Velocity of Follower & Time Required for the Return Stroke. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Maximum Acceleration = (pi^2*Angular Velocity of Cam^2*Stroke of Follower)/(2*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 = (4*Angular Velocity of Cam^2*Stroke of Follower)/(Angular Displacement of Cam During Return Stroke^2)
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