Max Acceleration of Follower during Outstroke if Outstroke Velocity is known Uniform Acceleration Calculator

✖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.ⓘ Maximum Velocity of Follower [V_max]			+10% -10%
✖The time required for the outstroke is the time required in covering the forward stroke by the follower.ⓘ Time Required for the Outstroke [t_o]			+10% -10%

✖Maximum Acceleration is the rate of change of the velocity of an object with respect to time.ⓘ Max Acceleration of Follower during Outstroke if Outstroke Velocity is known Uniform Acceleration [a_max]

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Max Acceleration of Follower during Outstroke if Outstroke Velocity is known Uniform Acceleration Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Acceleration = (2*Maximum Velocity of Follower)/Time Required for the Outstroke
a_max = (2*V_max)/t_o
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 Outstroke - (Measured in Second) - The time required for the outstroke is the time required in covering the forward stroke by the follower.

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 Outstroke: 6.45 Second --> 6.45 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a_max = (2*V_max)/t_o --> (2*49.1)/6.45

Evaluating ... ...

a_max = 15.2248062015504

STEP 3: Convert Result to Output's Unit

15.2248062015504 Meter per Square Second --> No Conversion Required

FINAL ANSWER

15.2248062015504 ≈ 15.22481 Meter per Square Second <-- Maximum Acceleration

(Calculation completed in 00.004 seconds)

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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 Outstroke if Outstroke Velocity is known Uniform Acceleration Formula

LaTeX Go

Maximum Acceleration = (2*Maximum Velocity of Follower)/Time Required for the Outstroke
a_max = (2*V_max)/t_o

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 Outstroke if Outstroke Velocity is known Uniform Acceleration?

Max Acceleration of Follower during Outstroke if Outstroke Velocity is known Uniform Acceleration calculator uses Maximum Acceleration = (2*Maximum Velocity of Follower)/Time Required for the Outstroke to calculate the Maximum Acceleration, Max Acceleration of Follower during Outstroke if Outstroke Velocity is known Uniform Acceleration formula is defined as the maximum acceleration of the follower during the outstroke phase of a mechanical system, where the outstroke velocity is known and the acceleration is uniform, providing a critical parameter in the design and analysis of mechanical systems. Maximum Acceleration is denoted by a_max symbol.

How to calculate Max Acceleration of Follower during Outstroke if Outstroke Velocity is known Uniform Acceleration using this online calculator? To use this online calculator for Max Acceleration of Follower during Outstroke if Outstroke Velocity is known Uniform Acceleration, enter Maximum Velocity of Follower (V_max) & Time Required for the Outstroke (t_o) and hit the calculate button. Here is how the Max Acceleration of Follower during Outstroke if Outstroke Velocity is known Uniform Acceleration calculation can be explained with given input values -> 24.8062 = (2*49.1)/6.45.

FAQ

What is Max Acceleration of Follower during Outstroke if Outstroke Velocity is known Uniform Acceleration?

Max Acceleration of Follower during Outstroke if Outstroke Velocity is known Uniform Acceleration formula is defined as the maximum acceleration of the follower during the outstroke phase of a mechanical system, where the outstroke velocity is known and the acceleration is uniform, providing a critical parameter in the design and analysis of mechanical systems and is represented as a_max = (2*V_max)/t_o or Maximum Acceleration = (2*Maximum Velocity of Follower)/Time Required for the Outstroke. 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 outstroke is the time required in covering the forward stroke by the follower.

How to calculate Max Acceleration of Follower during Outstroke if Outstroke Velocity is known Uniform Acceleration?

Max Acceleration of Follower during Outstroke if Outstroke Velocity is known Uniform Acceleration formula is defined as the maximum acceleration of the follower during the outstroke phase of a mechanical system, where the outstroke velocity is known and the acceleration is uniform, providing a critical parameter in the design and analysis of mechanical systems is calculated using Maximum Acceleration = (2*Maximum Velocity of Follower)/Time Required for the Outstroke. To calculate Max Acceleration of Follower during Outstroke if Outstroke Velocity is known Uniform Acceleration, you need Maximum Velocity of Follower (V_max) & Time Required for the Outstroke (t_o). With our tool, you need to enter the respective value for Maximum Velocity of Follower & Time Required for the Outstroke 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 Outstroke. 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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