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Centripetal Force


Any motion in a curved path represents accelerated motion, and requires a force directed toward the center of curvature of the path.
This force is called the centripetal force which means "center seeking" force. The force has the magnitude



Swinging a mass on a string requires string tension, and the mass will travel off in a tangential straight line if the string breaks.


The centripetal acceleration
can be derived for the case of
circular motion since the
curved path at any point can
be extended to a circle.







Note that the centripetal force is proportional to the square of the velocity, implying that a doubling of speed will require four times the centripetal force to
keep the motion in a circle. If the centripetal force must be provided by friction alone on a curve, an increase in speed could lead to an unexpected skid if friction is
insufficient.























Centripetal Force Calculation


Centripetal force = mass x
velocity
2 / radius







Any of the data values may be changed. When finished with data entry, click on the quantity you wish to calculate in the formula above.
Unit conversions will be carried out as you enter data, but values will not be forced to be consistent until you click on the desired quantity.


Calculation for:

Radius r = m = ft

Mass = m=kg = slugs

Weight = W=N = lbs

Velocity = v=m/s =
ft/s
or in common highway speed units,
velocity = km/h = mi/h



Centripetal force= F=N = lbs

Discussion of concept