The steering wheel of a car has a radius of 0.19 m, and the steering wheel of a truck has a radius of 0.26 m. The same force is applied in the same direction to each steering wheel. What is the ratio of the torque produced by this force in the truck to the torque produced in the car?

To calculate the ratio of the torque produced by the force applied to the truck's steering wheel to that of the car's steering wheel, we can use the formula for torque:

Torque = Force × Radius

The torque produced is directly proportional to both the force applied and the radius of the steering wheel. Since we are assuming the same force is applied in the same direction to each steering wheel, we can focus on comparing the radii.

Let's calculate the torques separately for the truck and the car and then find their ratio.

For the truck:
Torque_truck = Force × Radius_truck = Force × 0.26 m

For the car:
Torque_car = Force × Radius_car = Force × 0.19 m

Now, we can calculate the ratio of the torques:
Ratio = Torque_truck / Torque_car = (Force × 0.26 m) / (Force × 0.19 m)

Notice that the force is the same on both sides of the equation, so it cancels out:

Ratio = 0.26 m / 0.19 m

Therefore, the ratio of the torque produced by the force in the truck to the torque produced in the car is approximately 1.368 (0.26 / 0.19)