How many inches of movement at the rim of a 20-inch steering wheel does ten degrees of play equal?

To determine how many inches of movement at the rim of a 20-inch steering wheel corresponds to ten degrees of play, it's essential to understand the relationship between the steering wheel's diameter and the angle of rotation.

The radius of a 20-inch steering wheel is 10 inches (since the diameter is 20 inches, the radius is half of that). When calculating the circumference of the wheel, which represents the total distance around the rim, you use the formula: ( C = 2 \pi r ). For a 20-inch wheel, this calculation results in about ( C = 2 \pi (10) \approx 62.83 ) inches.

One complete rotation of the wheel equals 360 degrees of movement. Therefore, for every degree of rotation, the movement at the rim is ( C/360 ). If you calculate this, you find that each degree of movement corresponds to approximately ( 62.83/360 \approx 0.174 ) inches.

For ten degrees of play, you would multiply the movement per degree by the number of degrees: ( 10 \times 0.174 \approx 1.74 ) inches. However, when rounded to the nearest choice provided, this is