Optimum speed for turning on a banked road is.

The optimum speed for turning on a banked road depends on several factors, including the banking angle of the road, the radius of the curve, the coefficient of friction between the tires and the road surface, and the mass and velocity of the vehicle.

For a banked road, the banking angle is designed to provide a horizontal component of the normal force to counteract the centrifugal force acting on the vehicle during the turn. This helps maintain traction and stability. The optimum speed for turning on a banked road is the speed at which the horizontal component of the normal force equals the required centripetal force for the turn.

To calculate the optimum speed, you can use the following formula:

V = √(r * g * tan(θ))

Where:
V is the optimum speed for the turn,
r is the radius of the curve,
g is the acceleration due to gravity (approximately 9.8 m/s²),
θ is the banking angle of the road.

Keep in mind that this formula assumes a level road surface and does not account for other factors such as tire grip, friction, or the specific characteristics of the vehicle. It provides an approximate value for the optimum speed. Additionally, it's important to always adhere to speed limits and exercise caution while driving.