Gear Ratio Calculator

def calculate_gear_kinematics(t1, t2, n1_rpm, t1_torque, efficiency_pct=100):
    """
    Calculate gear ratio, output speed, and output torque.
    
    t1: Teeth on driving gear
    t2: Teeth on driven gear
    n1_rpm: Input speed in RPM
    t1_torque: Input torque
    efficiency_pct: Mechanical efficiency (0-100)
    
    Returns: Dict containing ratio, output_speed, output_torque
    """
    if t1 <= 0 or t2 <= 0:
        raise ValueError("Number of teeth must be greater than zero.")

    ratio = t2 / t1
    n2_rpm = n1_rpm / ratio
    t2_torque = t1_torque * ratio * (efficiency_pct / 100)
    
    return {
        "ratio": ratio,
        "output_speed": n2_rpm,
        "output_torque": t2_torque
    }

# Example
results = calculate_gear_kinematics(
    t1=20, 
    t2=60, 
    n1_rpm=1500, 
    t1_torque=50, 
    efficiency_pct=98
)

print(f"Gear Ratio: {results['ratio']:.2f}")
print(f"Output Speed: {results['output_speed']:.1f} RPM")
print(f"Output Torque: {results['output_torque']:.1f} N.m")

function res = gear_kinematics(t1, t2, n1_rpm, t1_torque, eff_pct)
    % Calculate gear ratio, output speed, and output torque

    if t1 <= 0 || t2 <= 0
        error('Number of teeth must be > 0');
    end

    ratio = t2 / t1;
    n2_rpm = n1_rpm / ratio;
    t2_torque = t1_torque * ratio * (eff_pct / 100);
    
    res.ratio = ratio;
    res.output_speed = n2_rpm;
    res.output_torque = t2_torque;
end

% Example
res = gear_kinematics(20, 60, 1500, 50, 98);

fprintf('Gear Ratio: %.2f\n', res.ratio);
fprintf('Output Speed: %.1f RPM\n', res.output_speed);
fprintf('Output Torque: %.1f N.m\n', res.output_torque);