An object with a mass of $7 k g$ $7 kg$ is hanging from an axle with a radius of $8 c m$ $8 cm$ . If the wheel attached to the axle has a radius of $56 c m$ $56 cm$ , how much work would it take to turn the wheel a length equal to the circumference of the axle?

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An object with a mass of $7 k g$ $7 kg$ is hanging from an axle with a radius of $8 c m$ $8 cm$ . If the wheel attached to the axle has a radius of $56 c m$ $56 cm$ , how much work would it take to turn the wheel a length equal to the circumference of the axle?

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Answer 1 · 2016-05-14T13:27:58

34.496J

Explanation:

The mass of the object lifted = $(m) = 7 k g$ $(m)=7kg$

The radius of the axle $(r) = 8 c m = 0.08 m$ $(r)=8cm=0.08m$

The radius of the Wheel attached with the axle

$R = 56 c m = 0.56 m$ $R=56cm=0.56m$

We are to find out the work done to turn the wheel a length

equal to the circumference of the axle. When turning of axle

equal to its circumference $(2 π r)$ $(2pir)$ occurs ,the weight is lifted

to the same height $(h = circumference of axle)$ $(h= "circumference of axle")$ against the gravity .

Hence the work done $W = m g h = m \times g \times 2 π r = 7 \times 9.8 \times 2 \times \frac{22}{7} \times 0.08 = 34.496 J$ $W=mgh=mxxgxx2pir=7xx9.8xx2xx22/7xx0.08=34.496J$

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An object with a mass of $7 k g$ $7 kg$ is hanging from an axle with a radius of $8 c m$ $8 cm$ . If the wheel attached to the axle has a radius of $56 c m$ $56 cm$ , how much work would it take to turn the wheel a length equal to the circumference of the axle?

1 Answer

Explanation:

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An object with a mass of 7 kg7kg7 kg is hanging from an axle with a radius of 8 cm8cm8 cm. If the wheel attached to the axle has a radius of 56 cm56cm56 cm, how much work would it take to turn the wheel a length equal to the circumference of the axle?

1 Answer

Explanation:

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An object with a mass of $7 k g$ $7 kg$ is hanging from an axle with a radius of $8 c m$ $8 cm$ . If the wheel attached to the axle has a radius of $56 c m$ $56 cm$ , how much work would it take to turn the wheel a length equal to the circumference of the axle?