AVIATION & AERONAUTIC CALCULATOR
Roll Rate
A precise tool.
What is the Roll Rate & How does it work?
A roll rate is the angular velocity around an aircraft’s longitudinal axis, typically measured in degrees per second (deg/s). This rate is influenced by several factors including the aileron deflection and the wingspan of the aircraft.
dot{phi} = frac{C_L cdot Delta a cdot V}{2 cdot rho cdot S}
dot{phi} = roll rate (deg/s), C_L = lift coefficient, Delta a = aileron deflection (rad), V = airspeed (m/s), rho = air density (kg/m^3), S = wing area (m^2)
The roll rate is directly proportional to the aileron deflection and the airspeed, while it is inversely proportional to the air density and the wing area.
Parameters
Result
—
Frequently Asked Questions
What is roll rate in aviation?
Roll rate is the angular velocity around an aircraft’s longitudinal axis, measured in degrees per second (deg/s).
How do I calculate roll rate for my aircraft?
Use the formula: dot{phi} = frac{C_L cdot Delta a cdot V}{2 cdot rho cdot S}, where dot{phi} is roll rate (deg/s), C_L is lift coefficient, Delta a is aileron deflection (rad), V is airspeed (m/s), rho is air density (kg/m^3), and S is wing area (m^2).
What factors affect roll rate?
Roll rate is influenced by aileron deflection, wingspan, lift coefficient, airspeed, air density, and wing area.
How does increasing aileron deflection affect roll rate?
Increasing aileron deflection increases the roll rate because it directly affects the numerator of the roll rate formula.
Can you explain the role of air density in roll rate calculation?
Air density affects roll rate inversely; higher air density reduces the roll rate as it appears in the denominator of the formula.
What is the unit for measuring roll rate?
Roll rate is typically measured in degrees per second (deg/s).
How does wingspan impact an aircraft’s roll rate?
Wingspan affects roll rate through its influence on wing area, which inversely impacts the roll rate formula.
Results are for informational purposes only and do not constitute professional advice.