Question

What is the ideal speed to take a 100 m radius curve banked at a 20.0° angle?

a) 11.8 m/s
b) 15.6 m/s
c) 18.9 m/s
d) 22.4 m/s

Answer 1

The ideal speed to take a 100 m radius curve banked at a 20.0° angle is approximately 18.9 m/s.

Step-by-step explanation:

The ideal speed to take a 100 m radius curve banked at a 20.0° angle can be calculated using the formula:

Speed = √((g * r * tan(θ)) / (1 - tan(θ)))

where g is the acceleration due to gravity (approximated as 9.8 m/s²), r is the radius of the curve, and θ is the banking angle.

Plugging in the values, we have:

Speed = √((9.8 * 100 * tan(20°)) / (1 - tan(20°)))

After evaluating the equation, the ideal speed is approximately 18.9 m/s (option c).