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What is the mechanical advantage of the wheel and axle shown below?

a. 43.9
b. 40.9
c. 21.2
d. 35.5

User Rafee
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1 Answer

3 votes

Final answer:

The mechanical advantage for a wheel and axle, like the one described for a typical car with an axle radius of 1.10 cm and a wheel radius of 27.5 cm, is 25. This is found using the formula MA = radius of wheel / radius of axle.

Step-by-step explanation:

The mechanical advantage (MA) of a wheel and axle system can be found by dividing the radius of the wheel by the radius of the axle. For the given example of a car with an axle radius of 1.10 cm and a wheel radius of 27.5 cm, the calculation of its MA would be as follows:

MA = radius of wheel / radius of axle

MA = 27.5 cm / 1.10 cm

MA = 25

Therefore, the mechanical advantage of the described car's wheel and axle is 25, which means option (c) 21.2 is not a correct answer. This calculation is based on a simplified model, which assumes ideal conditions without taking friction into account.

User Maribel
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