A standard Ford F150 has a standard tire size of 25.7 inches in diameter. You decided to replace the standard tires with a tire with a diameter of 28.2 inches without updating the onboard computer. Last week you were stopped for speeding on the highway where the speed limit is 65 mph. With the change in tires, how fast was the truck actually traveling when the speedometer read 65 mph? If you had used 24 inch tires, what would the actual speed have been if the speedometer read 65 mph?

You should develop a document to be presented to the judge that explains your speed if you still had the original 25.7 inch tires, your actual speed with the new 28.2 inch tires, and your speed if you replaced the wheels with 24 inch tires.

Answers

Answer 1

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 mphThe 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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Step-by-step explanation:

1. What is the area of the wall that surrounds the garage door?

Notice that the wall can be broken into two parts, a parallelogram and a triangle. The triangle's base would be 30 - 18 (as it is stated that the parallelogram's length is 18), while the height is shared with the rectangle's width, which is 12:

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Area of parallelogram = (18 x 12) = 216 ft²

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Next, find the amount missing because of the garage door. It is given that the door's area can be found by multiplying the length and side (both 9ft). Subtract the gotten number from the total amount:

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~

First, note that there are two full rows in the bottom. This can be made into the rectangle. The rest would be solved using the triangle formula. Add the two results together at the end to get your total units.

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36 units²

~

The "base" of the triangle is 3 ft greater than the height of the triangle. The given height is that it is 12 ft. This means that the base is 15 ft.

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~

I am not too sure if there is actual enough information that can be used to solve for this triangle. I understand that you will need the answers soon, so I will try to work on it and edit my answer later on. In my opinion, they would need to give at least one more measurement or information regarding which side is which to be able to obtain the answer. If i had to guess, I would guess as well the largest one, considering the 12 ft and 21 ft. Again, they will need to define "b", as well as what the "base" & "height" would be.

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Answers

Answer:

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Answers

Answer:

x = -3, 6

Step-by-step explanation:

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