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goldfiish [28.3K]
3 years ago
7

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

Physics
2 answers:
Salsk061 [2.6K]3 years ago
7 0

Answer:

Mechanical advantage of the wheel and axle is 32.5      

Explanation:

Given that,

The radius of the axle,r_a=0.8\ cm

The radius of wheel ,r_w=26\ cm        

We need to find the mechanical advantage of the wheel and axle. It can be calculated as :

MA=\dfrac{r_w}{r_a}

MA=\dfrac{26}{0.8}      

MA = 32.5

So, the mechanical advantage of the wheel and axle shown below is 32.5 . Hence, this is the required solution.                                

BigorU [14]3 years ago
6 0

The correct answer is A. 32.5

Mechanical advantage is the ratio of force that is input into a machine to the force output.

Mechanical advantage of a wheel and axle is calculated by dividing the radius of the wheel by that of the axle.

MA=R/r where R is the radius of the wheel and  r is the radius of the axle.

Substituting for the values in the question gives:

MA=26cm/0.8cm

    =32.5

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Three children are riding on the edge of a merry-go-round that is a solid disk with a mass of 102 kg and a radius of 1.53 m. The
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Three children of masses and their position on the merry go round

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M2 = 28kg

M3 = 33kg

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Mass of Merry go round is

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Radius of Merry go round.

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If M2 = 28 is moves to center of the merry go round then R2 = 0, what is the new angular velocity ωf

Using conservation of angular momentum

Initial angular momentum when all the children are at the edge of the merry go round is equal to the final angular momentum when the second child moves to the center of the merry go round  Then,

L(initial) = L(final)

Ii•ωi = If•ωf

So we need to find the initial and final moment of inertia

NOTE: merry go round is treated as a solid disk then I= ½MR²

I(initial)=½MR²+M1•R²+M2•R²+M3•R²

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I(initial) = 151.725 + 1.7²(83)

I(initial) = 391.595 kgm²

Final moment of inertial when R2 =0

I(final)=½MR²+M1•R²+M2•R2²+M3•R²

Since R2 = 0

I(final) = ½MR²+ M1•R² + M3•R²

I(final) = ½MR² + (M1 + M3)• R²

I(final)=½ × 105 × 1.7² + ( 22 +33)•1.7²

I(final) = 151.725 + 158.95

I(final) = 310.675 kgm²

Now, applying the conservation of angular momentum

L(initial) = L(final)

Ii•ωi = If•ωf

391.595 × 22 = 310.675 × ωf

Then,

ωf = 391.595 × 22 / 310.675

ωf = 27.73 rpm

Answer: So, the final angular momentum is 27.73 revolution per minute

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