Engineering ToolBox - Resources, Tools and Basic Information for Engineering and Design of Technical Applications!

This is an AMP page - Open full page! for all features.

Centripetal and Centrifugal Acceleration Force

Sponsored Links

Centripetal and Centrifugal Force are the action-reaction force pair associated with circular motion.

Centripetal Acceleration

Velocity is a vector - specifying how fast (or slow) a distance is covered and the direction of the movement. Since the velocity vector (the direction) of a body changes when moved in a circle - there is an acceleration.

This  acceleration is named the centripetal acceleration - and can be expressed as

a c = v2/ r

= ω2r

= (2 π n rps )2r

= (2 π n rpm / 60)2r

(π n rpm / 30)2r (1)

where

a c = centripetal acceleration (m/s2 , ft/s2 )

v = tangential velocity (m/s, ft/s)

r = circular radius (m, ft)

ω = angular velocity ( rad /s)

n rps = revolutions per second (rev/s, 1/s)

n rpm = revolutions per min (rev/min, 1/min)

Centripetal Force

According Newton's second law the centripetal force can be expressed as

F c = m a c

= m v2/ r

= m ω2r

= m (2 π n s )2r

= m (2 π n rpm / 60)2r

= m (π n rpm / 30)2r (2)

where

F c = centripetal force (N, lb f )

m = mass (kg, slugs )

According to Newton's Third Law the centripetal force acting on the object has a centrifugal force of the same magnitude acting in the opposite direction.

Example - the Centripetal Acceleration and Force acting on a Car through a Curve

Metric Units

A car with mass 1000 kg drives through a curve with radius 200 m at speed 50 km/h . The centripetal acceleration can be calculated as

a c = ((50 km/h) (1000 m/km) (1/3600 h/s))2/ (200 m)

= 0.965 m/s2

= 0.1 g

where

1 g = acceleration of gravity (9.81 m/s2)

The centripetal force can bee calculated as

F c = (1000 kg) ( 0.965 m/s2)

= 965 N

= 0.97 kN

Related to the gravity force - weight :

F g = (1000 kg) (9.81 m/s2)

= 9810 N

= 9.8 kN

Imperial Units

A car with weight (gravity force) 3000 lb travels through a curve with radius 100 ft with speed 15 miles/h .

The mass of the car can be calculated as

m = (3000 lb) / (32 ft/s2)

= 94 slugs

The centripetal acceleration can be calculated as

a c = ((15 miles/h)(5280 ft/mile) / (3600 s/h))2/ (100 ft)

= 4.84 ft/s2

The centripetal force can bee calculated as

F c = (94 slugs) (4.84 ft/s2)

= 455 lb f

Centripetal (Centrifugal) Calculator - velocity

This calculator can be used if the velocity of an object is known - like a car in a turning curve.


Centripetal (Centrifugal) Force - rpm

Equation (2) can be modified to express centripetal or centrifugal force as a function of revolution per minute - rpm - as

F c = 0.01097 m r n rpm 2(3)

where

n rpm = revolution per minute (rpm)

Centripetal (Centrifugal) Calculator - rpm

This calculator can be used if revolution speed of an object is known - like a turning bowl in a lathe.


Centrifugal Force

Force is an abstraction representing the push and pull interaction between objects.  Newton's third law states that

  • for every acting force there is an equal and opposite reaction force

Therefore there must be an equal and opposite reaction force to the Centripetal Force - the Centrifugal Force.

Sponsored Links

Related Topics

Dynamics

Motion - velocity and acceleration, forces and torque.

Mechanics

Forces, acceleration, displacement, vectors, motion, momentum, energy of objects and more.

Related Documents

Acceleration

Change in velocity vs. time used.

Acceleration of Gravity and Newton's Second Law

Acceleration of gravity and Newton's Second Law - SI and Imperial units.

Acceleration Units Converter

Converting between units of acceleration.

Banked Turn

A turn or change of direction in which the vehicle banks or inclines, usually towards the inside of the turn.

Car - Required Power and Torque

Power, torque, efficiency and wheel force acting on a car.

Car Acceleration

Car acceleration calculator.

Car Fuel Consumption - liter/100 km

Calculate fuel consumption in liter per km - consumption chart and calculator.

Cars - New vs. Old Car Cost Calculator

Calculate and compare the costs between owning a new vs. an old car.

Conn-Rod Mechanism

The connecting rod mechanism.

Conservation of Momentum

The momentum of a body is the product of its mass and velocity - recoil calculator.

Distance Traveled vs. Speed and Time - Calculator and Chart

Velocity plotted in time used diagram.

Driving Distances between European Cities

Driving distance between some major European cities.

Equilibrant Force

The force required to keep a system of forces in equilibrium.

Force

Newton's third law - force vs. mass and acceleration.

Force Ratio

The force ratio is the load force versus the effort force.

Formulas of Motion - Linear and Circular

Linear and angular (rotation) acceleration, velocity, speed and distance.

Fuel Consumption - mpg

Calculate fuel consumption in miles per gallon - mpg - calculator and consumption charts.

Piston Engines - Compression Ratios

Cylinder volume and compression ratios in piston engines.

Projectile Range

Calculate the range of a projectile - a motion in two dimensions.

Rolling Resistance

Rolling friction and rolling resistance.

Rotating Bodies - Stress

Stress in rotating disc and ring bodies.

Torque or Moment of Force - Online Converter

Torque or moment - the tendency of a force to rotate an object.

Vehicle - Distance Traveled vs. Velcocity and Time Used (mph)

Speed (mph) and time (hours) and distance traveled (miles) chart.

Vehicle - Distance Traveled vs. Velocity and Time (km/h)

Speed (km/h) vs. time (hours) and distance traveled (km).

Vehicles Traffic Flow and Density

Traffic flow and density as used in highway design.

Sponsored Links

Search Engineering ToolBox

  • the most efficient way to navigate the Engineering ToolBox!

SketchUp Extension - Online 3D modeling!

Add standard and customized parametric components - like flange beams, lumbers, piping, stairs and more - to your Sketchup model with the Engineering ToolBox - SketchUp Extension - enabled for use with the amazing, fun and free SketchUp Make and SketchUp Pro . Add the Engineering ToolBox extension to your SketchUp from the Sketchup Extension Warehouse!

Privacy

We don't collect information from our users. Only emails and answers are saved in our archive. Cookies are only used in the browser to improve user experience.

Some of our calculators and applications let you save application data to your local computer. These applications will - due to browser restrictions - send data between your browser and our server. We don't save this data.

Google use cookies for serving our ads and handling visitor statistics. Please read Google Privacy & Terms for more information about how you can control adserving and the information collected.

AddThis use cookies for handling links to social media. Please read AddThis Privacy for more information.