ConnRod Mechanism
The connecting rod mechanism.
A connecting rod  connrod  mechanism converts rotating motion to reciprocating motion  or vice versa.
The position of the rod can be expressed as
s = r (1  cos φ) + (λ / 2) r sin^{2}φ (1)
where
s = position of the rod (m)
r = radius of crank (m)
φ = ω t
= 2 π n_{s} t
= angular position of crank (rad)
ω = crank angular velocity (rad/s)
t = time (s)
n_{s} = revolution per second (1/s)
λ = r / l
= crank ratio
l = length of rod (m)
The velocity of the rod can be expressed as
v = ω r sin φ (1 + λ cos φ) (2)
where
v = velocity of rod (m/s)
The acceleration of the rod can be expressed as
a = ω^{2} r (cos φ + λ cos 2φ) (3)
where
a = acceleration of rod (m/s^{2}^{})
Related Topics

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

Acceleration
Change in velocity vs. time used. 
Angular Motion  Power and Torque
Angular velocity and acceleration vs. power and torque. 
Belt Transmissions  Speed and Length of Belts
Calculate length and speed of belt and belt gearing. 
Centripetal and Centrifugal Acceleration Force
Forces due to circular motion and centripetal / centrifugal acceleration. 
Flywheels  Kinetic Energy
The kinetic energy stored in flywheels  the moment of inertia. 
Formulas of Motion  Linear and Circular
Linear and angular (rotation) acceleration, velocity, speed and distance. 
Gear Reducing Formulas
Output torque, speed and horsepower with gears. 
Gears
Gears effort force vs. load force. 
Mass Moment of Inertia
The Mass Moment of Inertia vs. mass of object, it's shape and relative point of rotation  the Radius of Gyration. 
Movement Ratio
Machines and movement ratio (velocity ratio). 
Torque  Work done and Power Transmitted
The work done and power transmitted by a constant torque.