A1000-kg car is moving at a constant speed around a circular turn with a radius of 18.5 meters. how fast must the car move to have an acceleration of 25.2 m/s2?

The force which helps to move in circle is known as centripetal force. Its a center seeking force and this force can only the direction of the car.

Centripetal acceleration =

R = 18.5 m

V = ?

Using the above formula:

V = 21.59 m/s

Hence, the speed of the car should be 21.59 m/s.

The speed of the car is about 21.6 m/s

Centripetal Acceleration can be formulated as follows:

a = Centripetal Acceleration ( m/s² )

v = Tangential Speed of Particle ( m/s )

R = Radius of Circular Motion ( m )

Centripetal Force can be formulated as follows:

F = Centripetal Force ( m/s² )

m = mass of Particle ( kg )

v = Tangential Speed of Particle ( m/s )

R = Radius of Circular Motion ( m )

Let us now tackle the problem !

Given:

mass of car = m = 1000 kg

radius of the circular turn = R = 18.5 meters

centripetal acceleration = a = 25.2 m/s²

Unknown:

speed of the car = v = ?

Solution:

Grade: High School

Subject: Physics

Chapter: Circular Motion