a = acceleration (m/s 2 , ft/s 2 ) )
It is common to express forces as vectors with magnitude, direction and point of application. The net effect of two or more forces acting on the same point is the vector sum of the forces.
In the centimetre–gram–second system of units (cgs) - a variant of the metric system - the unit of force is called the dyne.
The unit of force in the Imperial or British system is the pound - lb, lb f .
Newton's third law describes the forces acting on objects interacting with each other. Newton's third law can be expressed as
A body force is when one body exerts a force on an other body without direct physical contact between the bodies. Examples - gravitation or electromagnetic fields .
Surface forces at supports or points of contact between bodies are called reactions .
If there is a net unbalance between forces acting on a body the body accelerates. If the forces are balanced the body will not accelerate.
A mass of 50 kg is accelerated with 2 m/s 2 . The force required can be calculated as
F = (50 kg) (2 m/s 2 )
= 100 N
The gravity force - weight - on a apple with mass 50 g (0.050 kg) due to acceleration of gravity a g = 9.81 m/s 2 - can be calculated as
F = (0.050 kg) (9.81 m/s 2 )
= 0.4905 N
The calculator below can used to calculate force due to mass and acceleration:
A body with mass m = 60 kg is hoisted by a winch. The force in the hoisting cable is F c = 700 N. The gravity force weight - W - pulling the body downwards due to the gravity - can be calculated as
W = m a g
= (60 kg) (9.81 m/s 2 )
= 588.6 N
= 0.59 kN
The resulting acceleration force - F a - which moves the body upwards - can be calculated by subtracting the weight of the body from the cable force as
F a = (700 N) - (588.6 N)
= 111.4 N
= 0.11 kN
The acceleration of the body can be calculated as
a = F a / m
= (111.4 N) / (60 kg)
= 1.86 m/s 2
Deflection and stress, moment of inertia, section modulus and technical information of beams and columns.
Motion - velocity and acceleration, forces and torque.
Forces, acceleration, displacement, vectors, motion, momentum, energy of objects and more.
Loads - forces and torque, beams and columns.
Change in velocity vs. time used.
Acceleration of gravity and Newton's Second Law - SI and Imperial units.
Converting between units of acceleration.
Required forces to move bodies up inclined planes.
Friction, load and effort forces acting in ropes turned around bollards.
Calculate position of center mass.
A body and the center of gravity.
Forces due to circular motion and centripetal / centrifugal acceleration.
Forces and torque activated with disk brakes.
The force required to keep a system of forces in equilibrium.
The force ratio is the load force versus the effort force.
Reduced load capacities in ropes, cables or lines - due to acting angle.
Gears effort force vs. load force.
Calculate hot air ballons lifting forces.
Impact forces acting on falling objects hitting the ground, cars crashing and similar cases.
Calculate the propulsive discharge force or thrust induced by an incompressible jet flow.
Use levers to magnify forces.
Loads and effort force with lifting wheels.
Mass vs. weight - the Gravity Force.
Safe loads of shackles.
Static equilibrium is achieved when the resultant force and resultant moment equals to zero.
Proof load capacities of metric threaded steel rods.
A toggle joint mechanism can be used to multiply force.
Online vector calculator - add vectors with different magnitude and direction - like forces, velocities and more.
Effort force to raise a load.
Wind load on surface - Wind load calculator.
Work done by a force acting on an object.
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