Linear Acceleration in Curvilinear Motion Calculator

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✖Angular Acceleration is defined as the rate of change of angular velocity.ⓘ Angular Acceleration [α_cm]			+10% -10%
✖Radius is a line segment extending from the center of a circle or sphere to the circumference or bounding surface.ⓘ Radius [r]			+10% -10%

✖Acceleration for Curvilinear Motion is the rate of change in velocity to the change in time.ⓘ Linear Acceleration in Curvilinear Motion [a_cm]

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Formula

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Linear Acceleration in Curvilinear Motion

Formula

`"a"_{"cm"} = "α"_{"cm"}*"r"`

Example

`"5.52m/s²"="8rad/s²"*"0.69m"`

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Linear Acceleration in Curvilinear Motion Solution

STEP 0: Pre-Calculation Summary

Formula Used

Acceleration for Curvilinear Motion = Angular Acceleration*Radius
a_cm = α_cm*r
This formula uses 3 Variables

Variables Used

Acceleration for Curvilinear Motion - (Measured in Meter per Square Second) - Acceleration for Curvilinear Motion is the rate of change in velocity to the change in time.
Angular Acceleration - (Measured in Radian per Square Second) - Angular Acceleration is defined as the rate of change of angular velocity.
Radius - (Measured in Meter) - Radius is a line segment extending from the center of a circle or sphere to the circumference or bounding surface.

STEP 1: Convert Input(s) to Base Unit

Angular Acceleration: 8 Radian per Square Second --> 8 Radian per Square Second No Conversion Required
Radius: 0.69 Meter --> 0.69 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a_cm = α_cm*r --> 8*0.69

Evaluating ... ...

a_cm = 5.52

STEP 3: Convert Result to Output's Unit

5.52 Meter per Square Second --> No Conversion Required

FINAL ANSWER

5.52 Meter per Square Second <-- Acceleration for Curvilinear Motion

(Calculation completed in 00.004 seconds)

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Created by Rahul

Dayanada Sagar college of Engineering (DSCE), banglore

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< 11 Curvilinear Motion Calculators

Angular Displacement given Angular Acceleration

Go Angular Displacement = Initial angular velocity of object*Time Period+1/2*Angular Acceleration*Time Period^2

Initial Angular Velocity

Go Initial angular velocity of object = Final Angular Velocity of Object-Angular Acceleration*Time Period

Final Angular Velocity

Go Final Angular Velocity of Object = Initial angular velocity of object+Angular Acceleration*Time Period

Average Angular Velocity

Go Angular Velocity = (Initial angular velocity of object+Final Angular Velocity of Object)/2

Radius of Curvilinear Motion given Linear Acceleration

Go Radius = Acceleration for Curvilinear Motion/Angular Acceleration

Angular Acceleration given Linear Acceleration

Go Angular Acceleration = Acceleration for Curvilinear Motion/Radius

Linear Acceleration in Curvilinear Motion

Go Acceleration for Curvilinear Motion = Angular Acceleration*Radius

Velocity in Curvilinear Motion given Angular Velocity

Go Velocity of Curvilinear Motion = Angular Velocity*Radius

Radius of Curvilinear Motion given Angular velocity

Go Radius = Velocity of Curvilinear Motion/Angular Velocity

Angular Velocity given Linear Velocity

Go Angular Velocity = Velocity of Curvilinear Motion/Radius

Angular Velocity of Body Moving in Circle

Go Angular Velocity = Angular Displacement/Time Period

Linear Acceleration in Curvilinear Motion Formula

Acceleration for Curvilinear Motion = Angular Acceleration*Radius
a_cm = α_cm*r

What is angular acceleration?

Angular acceleration is the rate of change of angular velocity with a time of an object in motion. The angular acceleration is also known as rotational acceleration. It is a quantitative expression of the change in angular velocity per unit time.

How to Calculate Linear Acceleration in Curvilinear Motion?

Linear Acceleration in Curvilinear Motion calculator uses Acceleration for Curvilinear Motion = Angular Acceleration*Radius to calculate the Acceleration for Curvilinear Motion, The Linear Acceleration in Curvilinear Motion formula is defined as the product of angular acceleration and radius of the curvilinear motion. Acceleration for Curvilinear Motion is denoted by a_cm symbol.

How to calculate Linear Acceleration in Curvilinear Motion using this online calculator? To use this online calculator for Linear Acceleration in Curvilinear Motion, enter Angular Acceleration (α_cm) & Radius (r) and hit the calculate button. Here is how the Linear Acceleration in Curvilinear Motion calculation can be explained with given input values -> 5.52 = 8*0.69.

FAQ

What is Linear Acceleration in Curvilinear Motion?

The Linear Acceleration in Curvilinear Motion formula is defined as the product of angular acceleration and radius of the curvilinear motion and is represented as a_cm = α_cm*r or Acceleration for Curvilinear Motion = Angular Acceleration*Radius. Angular Acceleration is defined as the rate of change of angular velocity & Radius is a line segment extending from the center of a circle or sphere to the circumference or bounding surface.

How to calculate Linear Acceleration in Curvilinear Motion?

The Linear Acceleration in Curvilinear Motion formula is defined as the product of angular acceleration and radius of the curvilinear motion is calculated using Acceleration for Curvilinear Motion = Angular Acceleration*Radius. To calculate Linear Acceleration in Curvilinear Motion, you need Angular Acceleration (α_cm) & Radius (r). With our tool, you need to enter the respective value for Angular Acceleration & Radius and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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