Force
Force, abbreviated as F, is the push or pull of an object resulting in a change from rest or motion. So when you apply force to an object the velocity changes, the change in velocity is acceleration. Force is a vector quantity having magnitude and direction, some of these include acceleration, displacement, drag, lift, momentum, thrust, torque, velocity, and weight.
Force Calculator
force formula 

\(\large{ F = m \; a }\)  
Symbol  English  Metric 
\(\large{ F }\) = force  \(\large{lbf}\)  \(\large{N}\) 
\(\large{ a }\) = acceleration  \(\large{\frac{ft}{sec^2}}\)  \(\large{\frac{m}{s^2}}\) 
\(\large{ m }\) = mass  \(\large{lbm}\)  \(\large{kg}\) 
Related formulas
Related formula for Displacement Power 
\(\large{ F = \frac {P_d \; t}{ d} }\) 
Symbol 
\(\large{ F }\) = force 
\(\large{ d }\) = displacement 
\(\large{ P_d }\) = displacement power 
\(\large{ t }\) = time 
Related formula for Impulse 
\(\large{ F = \frac {I}{\Delta t} }\) 
Symbol 
\(\large{ F }\) = force 
\(\large{ I }\) = impulse 
\(\large{ \Delta t }\) = time differential 
Related formula for Moment 
\(\large{ F = \frac{M}{l} }\) 
Symbol 
\(\large{ F }\) = force 
\(\large{ l }\) = length, moment arm 
\(\large{ M }\) = moment 
Related formula for Momentum Differential 
\(\large{ F = \frac {\Delta p}{\Delta t} }\) 
Symbol 
\(\large{ F }\) = force 
\(\large{ \Delta p }\) = momentum differential 
\(\large{ \Delta t }\) = time differential 
Related formula for Power

\(\large{ F = \frac{P \; t}{d} }\) 
Symbol 
\(\large{ F }\) = force 
\(\large{ d }\) = displacement 
\(\large{ P }\) = power 
\(\large{ t }\) = time 
Related formula for Pressure 
\(\large{ F = p \; A }\) 
Symbol 
\(\large{ F }\) = force 
\(\large{ A }\) = area 
\(\large{ p }\) = pressure 
Related formula for Stress, yield strength 
\(\large{ F = \sigma \; A_c }\) 
Symbol 
\(\large{ F }\) = force 
\(\large{ A_c }\) = area crosssection 
\(\large{ \sigma }\) (Greek symbol sigma) = yield strength 
Related formula for Spring Constant 
\(\large{ F = k_s \; \left( x  x_0 \right) }\) 
Symbol 
\(\large{ F }\) = force 
\(\large{ x }\) = distance from equilibrium 
\(\large{ x_0 }\) = spring equilibrium position 
\(\large{ k_s }\) = spring constant 
Related formula for Torque 
\(\large{ F = \frac {\tau}{d} }\) \(\large{ F = \frac {\tau}{l} }\) 
Symbol 
\(\large{ F }\) = force 
\(\large{ d }\) = displacement 
\(\large{ l }\) = length, moment arm 
\(\large{ \tau }\) (Greek symbol tau) = torque 
Related formula for Power, Velocity 
\(\large{ F = \frac{P}{v} }\) 
Symbol 
\(\large{ F }\) = force 
\(\large{ P }\) = power 
\(\large{ v }\) = velocity 
Related formula for Work 
\(\large{ F = \frac{W}{d} }\) 
Symbol 
\(\large{ F }\) = force 
\(\large{ d }\) = displacement 
\(\large{ W }\) = work 
General Threedimensional Force
All other combinations of nonconcurrent, nonparallel and noncoplanar forces.
Force types
All forces can be divided into two basic types of forces:
 Contact force
 Air resistance force
 Applied force
 Friction force
 Normal force
 Spring force
 Tension force
 Noncontact force
 Gravity force
 Electric force
 Magnetic force
Air Resistance Force
Air resistance force, abbreviated as \(F_{ar}\), is the force in opposition to a moving object through the air.
Applied Force
Applied force, abbreviated as \(F_a\), can come from different types of forces, one of them could be Newton's Second Law. There really is no one formula.
Centrifugal force
Centrifugal force is when a force pushes away from the center of a circle, but this does not really exist. When an object travels in a circle, the object always wants to go straight, but the centripetal force keeps the object traveling along an axis of rotation.
Centripetal force
The direction of the centripetal force is always toward the center of the circle and perpendicular to the velocity. Any combination of forces causing a uniform circular motion can be called centripetal force.
Collinear Force
Collinear forces all share the same line of action.
Concurrent Force
Concurrent forces are all acting at the same point.
Coplannar Parallel Force
Coplannar parallel forces can be in the same or opposite direction and are on the same plane.
Electric Force
An electric force, abbreviated as \(F_e\), is an attraction or repulsion force between any two charged objects.
Friction Force
Friction force, abbreviated as \(F_f\), is the force an object exerts on the surface of an object as it slides across.
Gravity Force
Gravity force is the force exerted between two masses.
Magnetic Force
A magnetic force, abbreviated as \(F_m\), is an attraction or repulsion force between electrically charged particles moving in a magnetic field.
Non Coplannar Force
All non coplannar forces lines of action lie on different planes.
Non Coplannar Concurrent Force
All non coplannar concurrent forces act at the same point but their lines of action lie on different planes.
Non Coplannar Non Concurrent Force
All non coplannar non concurrent forces do not meet and their lines do not lie on the same plane.
Normal Force
Normal force, abbreviated as \(F_n\), is the supported force between two contacting objects.
Spring Force
Spring force, abbreviated as \(F_s\), is the force that compresses (a repulsive force) or stretches (an attractive force) the spring.
Tension Force
Tension force, abbreviated as \(F_t\), is the force that is exerted through a rope, string or wire when pulled from opposite directions.