Radius of Curvilinear Motion given Linear Acceleration Calculator

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✖Acceleration for Curvilinear Motion is the rate of change in velocity to the change in time.ⓘ Acceleration for Curvilinear Motion [a_cm]			+10% -10%
✖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 of Curvilinear Motion given Linear Acceleration [r]

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Formula

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Radius of Curvilinear Motion given Linear Acceleration

Formula

`"r" = "a"_{"cm"}/"α"_{"cm"}`

Example

`"0.69875m"="5.59m/s²"/"8rad/s²"`

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Radius of Curvilinear Motion given Linear Acceleration Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Radius - (Measured in Meter) - Radius is a line segment extending from the center of a circle or sphere to the circumference or bounding surface.
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.

STEP 1: Convert Input(s) to Base Unit

Acceleration for Curvilinear Motion: 5.59 Meter per Square Second --> 5.59 Meter per Square Second No Conversion Required
Angular Acceleration: 8 Radian per Square Second --> 8 Radian per Square Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r = a_cm/α_cm --> 5.59/8

Evaluating ... ...

r = 0.69875

STEP 3: Convert Result to Output's Unit

0.69875 Meter --> No Conversion Required

FINAL ANSWER

0.69875 Meter <-- Radius

(Calculation completed in 00.004 seconds)

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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

Radius of Curvilinear Motion given Linear Acceleration Formula

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

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 Radius of Curvilinear Motion given Linear Acceleration?

Radius of Curvilinear Motion given Linear Acceleration calculator uses Radius = Acceleration for Curvilinear Motion/Angular Acceleration to calculate the Radius, The Radius of Curvilinear Motion given Linear Acceleration formula is defined as the ratio of linear acceleration to the acceleration in Curvilinear motion. Radius is denoted by r symbol.

How to calculate Radius of Curvilinear Motion given Linear Acceleration using this online calculator? To use this online calculator for Radius of Curvilinear Motion given Linear Acceleration, enter Acceleration for Curvilinear Motion (a_cm) & Angular Acceleration (α_cm) and hit the calculate button. Here is how the Radius of Curvilinear Motion given Linear Acceleration calculation can be explained with given input values -> 15 = 5.59/8.

FAQ

What is Radius of Curvilinear Motion given Linear Acceleration?

The Radius of Curvilinear Motion given Linear Acceleration formula is defined as the ratio of linear acceleration to the acceleration in Curvilinear motion and is represented as r = a_cm/α_cm or Radius = Acceleration for Curvilinear Motion/Angular Acceleration. Acceleration for Curvilinear Motion is the rate of change in velocity to the change in time & Angular Acceleration is defined as the rate of change of angular velocity.

How to calculate Radius of Curvilinear Motion given Linear Acceleration?

The Radius of Curvilinear Motion given Linear Acceleration formula is defined as the ratio of linear acceleration to the acceleration in Curvilinear motion is calculated using Radius = Acceleration for Curvilinear Motion/Angular Acceleration. To calculate Radius of Curvilinear Motion given Linear Acceleration, you need Acceleration for Curvilinear Motion (a_cm) & Angular Acceleration (α_cm). With our tool, you need to enter the respective value for Acceleration for Curvilinear Motion & Angular Acceleration 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 Radius?

In this formula, Radius uses Acceleration for Curvilinear Motion & Angular Acceleration. We can use 1 other way(s) to calculate the same, which is/are as follows -

Radius = Velocity of Curvilinear Motion/Angular Velocity

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