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Colt1911 [192]
1 year ago
15

The mechanical advantage of a wheel and axle is the radius of the wheel divided by the radius of the axle. On wheel and axle A,

the wheel and axle are very close in size. On wheel and axle B, the radius of the wheel is much greater than the radius of the axle.
Health
1 answer:
aleksandrvk [35]1 year ago
4 0

Answer:

The wheel and axle B has a greater mechanical advantage than wheel and axle B

Explanation:

Given

Let

R_W = Radius\ of\ the\ wheel

R_A = Radius\ of\ the\ axle

MA = \frac{R_w}{R_A}

Required

Which wheel and axle has the greater mechanical advantage?  (Missing Information)

For Wheel and Axle A:

R_w is close to R_A

For calculation purpose, we can assume that:

R_W \approx\ R_A

So:

MA = \frac{R_w}{R_A}

MA = \frac{R_A}{R_A} or MA = \frac{R_W}{R_W}

MA = 1

For Wheel and Axle B:

R_w far from R_A

For calculation purpose, we can assume that:

R_W > R_A

and

R_A = nR_A

Where:

n > 1

So:

MA = \frac{R_w}{R_A}

MA = \frac{nR_A}{R_A}

MA = n\frac{R_A}{R_A}

MA = n * 1

MA = n

Since: n > 1

Then

MA > 1

So, we have:

MA = 1   ---> For Wheel and Axle A

MA > 1   ---> For Wheel and Axle B

<em>By comparison, the wheel and axle B has a greater mechanical advantage than wheel and axle B</em>

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