Conn-Rod Mechanism
A connecting rod mechanism converts rotating motion to reciprocating motion or vice versa. Calculate the position, velocity, and acceleration of the connecting rod based on crank parameters and angular position.
Conn-Rod Mechanism Calculator
The connecting rod mechanism converts rotating motion to reciprocating motion (or vice versa). This calculator computes the position, velocity, and acceleration of the rod.
Key Parameters:
- r = radius of crank (m)
- l = length of rod (m)
- φ = angular position of crank (rad)
- ω = crank angular velocity (rad/s)
Formulas:
- Position: s = r(1 - cos(φ)) + (λ/2)r sin²(φ)
- Velocity: v = ωr sin(φ)(1 + λ cos(φ))
- Acceleration: a = ω²r(cos(φ) + λ cos(2φ))
where λ = r/l (crank ratio)