5* The odometer on a car measures the distance traveled by multiplying the circumference of tire by the number of revolutions. Thus, if you change the tire size, and no adjustment made in the odometer to account for the new tire size, then if you travel the same distance with smaller tires and larger tires, the odometer will read differently. Suppose that a 450 mile trip is made with 15″ tires (that is tires having a radius of 15 inches), and that th same trip is made a second time with a different size tire and no adjustment in the odomete is made. If the odometer reads 440 miles the second time, determine if the radius of the new tire is smaller or larger than 15 inches, and then find the radius of the new tire.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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5* The odometer on a car measures the distance traveled by multiplying the circumference of a
tire by the number of revolutions. Thus, if you change the tire size, and no adjustment is
made in the odometer to account for the new tire size, then if you travel the same distance,
with smaller tires and larger tires, the odometer will read differently. Suppose that a 450-
mile trip is made with 15" tires (that is tires having a radius of 15 inches), and that the
same trip is made a second time with a different size tire and no adjustment in the odometer
is made. If the odometer reads 440 miles the second time, determine if the radius of the new
tire is smaller or larger than 15 inches, and then find the radius of the new tire.
Transcribed Image Text:5* The odometer on a car measures the distance traveled by multiplying the circumference of a tire by the number of revolutions. Thus, if you change the tire size, and no adjustment is made in the odometer to account for the new tire size, then if you travel the same distance, with smaller tires and larger tires, the odometer will read differently. Suppose that a 450- mile trip is made with 15" tires (that is tires having a radius of 15 inches), and that the same trip is made a second time with a different size tire and no adjustment in the odometer is made. If the odometer reads 440 miles the second time, determine if the radius of the new tire is smaller or larger than 15 inches, and then find the radius of the new tire.
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