[Physics] Why does friction act radially inwards when a car turns

centripetal-forceforcesfree-body-diagramfrictionnewtonian-mechanics

The velocity of a vehicle while taking circular turn is tangential to circular path. Friction opposes relative motion between ground and tyres. Then how does friction act radially inwards?

In other words, why does the car tend to go radially outwards although its velocity is tangential?

Best Answer

Tires/wheels are interesting objects. In the ideal case they allow zero restriction to motion in the plane of the wheel (rolling motion) and they prevent motion perpendicular to the plane of the wheel (sideways motion).

So even though the car is moving forward, the contact patch of the tire and the ground are not moving relative to each other. We presume that friction is zero when the car rolls straight ahead.

When the tire direction is shifted (by turning the steering wheel), a component of the vehicles velocity is now perpendicular to the tire plane. The tire attempts to resist this motion and a friction force appears. Because this force is on the front of the car, it both moves the car sideways and turns the car (and becomes a centripetal force).

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