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Sagot :
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 71.3 mph
- The actual speed if a 24 inch tire was used would be 60.7 mph
How does the size of the tire determine the speed?
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
[tex]Number \ of \ rotation =\dfrac{63,360 \times 65}{\pi \times 25.7} \approx \mathbf{ 51,008.85}[/tex]
Distance travelled by the replacement tire with the same number of
rotations is therefore;
[tex]Distance =\dfrac{63,360 \ in. \times 65}{\pi \times 25.7 \ in.} \times \pi \times 28.2 \ in. \approx \mathbf{4519022.6\ in.}[/tex]
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; 71.32 mph
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 60.7 mph
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:
https://brainly.com/question/14745232
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