A600-kg car is going around a banked curve with a radius of 110 m at a speed of 27.5 m/s. what is the appropriate banking angle so that the car stays on its path without the assistance of friction?

The appropriate banking angle so that the car stays on its path without the assistance of friction is about 35.1°

Centripetal Acceleration of circular motion could be calculated using following formula:

a = centripetal acceleration ( m/s² )

v = velocity ( m/s )

R = radius of circle ( m )

Let us now tackle the problem!

Given:

mass of car = m = 600 kg

radius of banked curve = R = 110 m

speed of car = v = 27.5 m/s

Asked:

banking angle = θ = ?

Solution:

Firstly , we will draw free body diagram of the car as shown in the attachment. Next , we could use Newton's Law of Motion and Centripetal Force to solve the problem as follows:

→ Equation 1

 ← Equation 1

Grade: High School

Subject: Physics

Chapter: Circular Motion

prolly a beacuse the momentuem the car has increases while going down hill