The wheel of a car has a radius of 0.350 m. The engine of the car applies a torque of 295 N ·m t

step 1 By everyone here it is given. Torque on the wheel is 295 Newton into meter. The radius of the wh

The wheel of a car has a radius of 0.350 m. The engine of...

The wheel of a car has a radius of $0.350 \mathrm{m}$. The engine of the car applies a torque of $295 \mathrm{N} \cdot \mathrm{m}$ to this wheel, which does not slip against the road surface. since the wheel does not slip, the road must be applying a force of static friction to the wheel that produces a countertorque. Moreover, the car has a constant velocity, so this countertorque balances the applied torque. What is the magnitude of the static frictional force?

Key Concepts

Torque Equilibrium

Torque equilibrium refers to the state in which all the torques acting on a system balance each other, resulting in no net angular acceleration. In systems moving at constant velocity, this implies that the sum of the driving torques is balanced by opposing torques such as those provided by friction, maintaining steady rotational motion.

Rolling Without Slipping

Rolling without slipping is a condition in which an object rolls in such a way that its point of contact with the surface does not slide. This condition establishes a kinematic relationship between the rotational motion and the translational motion (v = r?), ensuring that the wheel's rotation corresponds exactly to its movement along the surface.

Torque

Torque is a measure of the rotational force applied about an axis, defined as the product of a force and its lever arm (the perpendicular distance from the axis of rotation to the line of action of the force). It determines how effectively a force can produce rotation around an object’s pivot point.

Static Friction

Static friction is the force that resists the initiation of sliding motion between two surfaces in contact. In the context of rolling motion, static friction acts at the point of contact and provides the necessary force to prevent slipping, thereby allowing the object to roll without any relative motion between the wheel and the surface.

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