The speed of the truck is higher (or lower) than the speedometer value
when a larger (or smaller) than standard sized tire.
Responses:
- The speed with a 28.2 inches tire is actually approximately <u>71.3 mph</u>
- The actual speed if a 24 inch tire was used would be <u>60.7 mph</u>
<h3>How does the size of the tire determine the speed?</h3>
The standard tire size diameter = 25.7 inches
Diameter of the replacement tire = 28.2 inches
Circumference of the standard tire = π·25.7 inches
1 mile = 63,360 inches
65 miles = 65 × 63,360 inches
Distance travelled by the replacement tire with the same number of
rotations is therefore;
Actual distance travelled in one hour = 4519022.6 ÷ 63,360 ≈ 71.32
- The actual speed of the truck when the speedometer read 65 mph is; <u>71.32 mph</u>
Second part; Tire diameter = 24 inches
Distance traveled in one hour = 51,008.85 × π × 24 ≈ 3845976.68
Distance traveled in one hour ≈ 3845976.68 inches
3845976.68 inches ≈ 60.7 miles
The actual speed if a 24 inch tire is used is approximately <u>60.7 mph</u>
Details of the truck speed with different sized wheels
- The speed if the original 25.7 inch tires is used will be the speed on the speedometer, which is 65 mph.
- However the actual speed with the new 28.2 inch tires is approximately 71.32 mph.
- The speed if the wheels were replaced with a 24 inch tire is approximately 60.7 mph
Learn more about rotation and speed here:
brainly.com/question/14745232