Question

Suppose a car's standard tires are replaced with tires 1.20 times larger in diameter. Complete the following sentences. (i) The car's speedometer reading will be 1.44 times too high. 1.20 times too high. accurate. 1.20 times too low. 1.44 times too low. inaccurate by an unpredictable factor. Incorrect: Your answer is incorrect. (ii) The car's fuel economy in miles per gallon or km/L will appear to be

Answer 1

correct answer is 1.20 times too high

Step-by-step explanation:

Let's analyze the relationship between linear and angular variables

v = w r

where w is the angular velocity of the car, which we will assume constant, r is the radius of the tire.

the normal tire has a radius ro

v₀ = w r₀

The tire with the new radius is r = 1.20 r₀\o

v = w r

v = 1.20 w r₀

v = 1.20 v₀

so the average speed is 1.20 times higher than the real speed

so the correct answer is 1.20 times too high