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Centripetal Acceleration of Point P on Circumference Formula

GoCentripetal Acceleration of Point P on Circumference when Follower Moves with SHM Formula

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Centripetal acceleration is property of the motion of a body traversing a circular path. Check FAQs

a c = \frac{π^{2} \cdot ω^{2} \cdot S}{2 \cdot {θ o}^{2}}

a_c - Centripetal Acceleration?ω - Angular Velocity of Cam?S - Stroke of Follower?θ_o - Angular Displacement of Cam During Out Stroke?π - Archimedes' constant?

Centripetal Acceleration of Point P on Circumference Example

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Here is how the Centripetal Acceleration of Point P on Circumference equation looks like with Values.

Here is how the Centripetal Acceleration of Point P on Circumference equation looks like with Units.

Here is how the Centripetal Acceleration of Point P on Circumference equation looks like.

148.6558 = \frac{{3.1416}^{2} \cdot 27^{2} \cdot 20}{2 \cdot 22^{2}}

148.6558m/s² = \frac{{3.1416}^{2} \cdot {27rad/s}^{2} \cdot 20m}{2 \cdot {22rad}^{2}}

148.6558 = \frac{{3.1416}^{2} \cdot 27^{2} \cdot 20}{2 \cdot 22^{2}}

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Centripetal Acceleration of Point P on Circumference Solution

Follow our step by step solution on how to calculate Centripetal Acceleration of Point P on Circumference?

FIRST Step Consider the formula

a c = \frac{π^{2} \cdot ω^{2} \cdot S}{2 \cdot {θ o}^{2}}

Next Step Substitute values of Variables

∴

a c = \frac{π^{2} \cdot {27rad/s}^{2} \cdot 20m}{2 \cdot {22rad}^{2}}

Next Step Substitute values of Constants

∴

a c = \frac{{3.1416}^{2} \cdot {27rad/s}^{2} \cdot 20m}{2 \cdot {22rad}^{2}}

Next Step Prepare to Evaluate

∴

a c = \frac{{3.1416}^{2} \cdot 27^{2} \cdot 20}{2 \cdot 22^{2}}

Next Step Evaluate

∴

a c = 148.655818355251m/s²

LAST Step Rounding Answer

∴

a c = 148.6558m/s²

Centripetal Acceleration of Point P on Circumference Formula Elements

Variables

Constants

Centripetal Acceleration

Centripetal acceleration is property of the motion of a body traversing a circular path.

Symbol: a_c

Measurement: AccelerationUnit: m/s²

Note: Value should be greater than 0.

Formulas to find Centripetal Acceleration

Angular Velocity of Cam

Angular velocity of cam refers to how fast an object rotates or revolves relative to another point.

Symbol: ω

Measurement: Angular VelocityUnit: rad/s

Note: Value should be greater than 0.

Formulas to find Angular Velocity of Cam

Stroke of Follower

Stroke of Follower is the greatest distance or angle through which the follower moves or rotates.

Symbol: S

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Stroke of Follower

Angular Displacement of Cam During Out Stroke

The Angular Displacement of Cam during Out Stroke is the angle covered by the follower during forwarding stroke.

Symbol: θ_o

Measurement: AngleUnit: rad

Note: Value should be greater than 0.

Formulas to find Angular Displacement of Cam During Out Stroke

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Centripetal Acceleration

Go Centripetal Acceleration of Point P on Circumference when Follower Moves with SHM

a c = \frac{2 \cdot {P s}^{2}}{S}

Other formulas in Acceleration of the Follower category

Go Acceleration of Follower after Time t for Cycloidal Motion

a = \frac{2 \cdot π \cdot ω^{2} \cdot S}{{θ o}^{2}} \cdot \sin (\frac{2 \cdot π \cdot θ r}{θ o})

Go Acceleration of Follower for Circular Arc Cam if there's Contact on Circular Flank

a = ω^{2} \cdot (R - r 1) \cdot \cos (θ t)

Go Acceleration of Follower for Roller Follower Tangent Cam, there's Contact with Straight Flanks

a = ω^{2} \cdot (r 1 + r rol) \cdot \frac{{(2 - \cos (θ))}^{2}}{{(\cos (θ))}^{3}}

Go Acceleration of Follower of Roller Follower Tangent Cam, there's Contact with Nose

a = ω^{2} \cdot r \cdot (\cos (θ 1) + \frac{L^{2} \cdot r \cdot \cos (2 \cdot θ 1) + r^{3} \cdot {(\sin (θ 1))}^{4}}{\sqrt{L^{2} - r^{2} \cdot {(\sin (θ 1))}^{2}}})

How to Evaluate Centripetal Acceleration of Point P on Circumference?

Centripetal Acceleration of Point P on Circumference evaluator uses Centripetal Acceleration = (pi^2*Angular Velocity of Cam^2*Stroke of Follower)/(2*Angular Displacement of Cam During Out Stroke^2) to evaluate the Centripetal Acceleration, Centripetal Acceleration of Point P on Circumference formula is defined as the measure of the rate of change of velocity of a point moving in a circular path, which is essential to understand the motion of objects in circular orbits or circular paths. Centripetal Acceleration is denoted by a_c symbol.

How to evaluate Centripetal Acceleration of Point P on Circumference using this online evaluator? To use this online evaluator for Centripetal Acceleration of Point P on Circumference, enter Angular Velocity of Cam (ω), Stroke of Follower (S) & Angular Displacement of Cam During Out Stroke (θ_o) and hit the calculate button.

FAQs on Centripetal Acceleration of Point P on Circumference

What is the formula to find Centripetal Acceleration of Point P on Circumference?

The formula of Centripetal Acceleration of Point P on Circumference is expressed as Centripetal Acceleration = (pi^2*Angular Velocity of Cam^2*Stroke of Follower)/(2*Angular Displacement of Cam During Out Stroke^2). Here is an example- 12.13517 = (pi^2*27^2*20)/(2*22^2).

How to calculate Centripetal Acceleration of Point P on Circumference?

With Angular Velocity of Cam (ω), Stroke of Follower (S) & Angular Displacement of Cam During Out Stroke (θ_o) we can find Centripetal Acceleration of Point P on Circumference using the formula - Centripetal Acceleration = (pi^2*Angular Velocity of Cam^2*Stroke of Follower)/(2*Angular Displacement of Cam During Out Stroke^2). This formula also uses Archimedes' constant .

What are the other ways to Calculate Centripetal Acceleration?

Here are the different ways to Calculate Centripetal Acceleration-

Centripetal Acceleration=(2*Peripheral Speed^2)/(Stroke of Follower)

Can the Centripetal Acceleration of Point P on Circumference be negative?

No, the Centripetal Acceleration of Point P on Circumference, measured in Acceleration cannot be negative.

Which unit is used to measure Centripetal Acceleration of Point P on Circumference?

Centripetal Acceleration of Point P on Circumference is usually measured using the Meter per Square Second[m/s²] for Acceleration. Kilometer per Square Second[m/s²], Micrometer per Square Second[m/s²], Mile per Square Second[m/s²] are the few other units in which Centripetal Acceleration of Point P on Circumference can be measured.

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Centripetal Acceleration of Point P on Circumference Formula

​GoCentripetal Acceleration of Point P on Circumference when Follower Moves with SHM Formula

Centripetal Acceleration of Point P on Circumference Example

Centripetal Acceleration of Point P on Circumference Solution

Centripetal Acceleration of Point P on Circumference Formula Elements

Other Formulas to find Centripetal Acceleration

Other formulas in Acceleration of the Follower category

How to Evaluate Centripetal Acceleration of Point P on Circumference?

FAQs on Centripetal Acceleration of Point P on Circumference

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GoCentripetal Acceleration of Point P on Circumference when Follower Moves with SHM Formula