# An object with a mass of #8 kg# is hanging from an axle with a radius of #18 cm#. If the wheel attached to the axle has a radius of #45 cm#, how much work would it take to turn the wheel a length equal to the circumference of the axle?

The work is

The load is

The radius of the axle is

The radius of the wheel is

The effort is

The acceleration due to gravity is

Taking moments about the center of the axle

The force is

The distance is

The work is

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The work done is ( W = mgh ), where ( m ) is the mass, ( g ) is the acceleration due to gravity, and ( h ) is the height. The height (( h )) is the circumference of the axle, calculated as ( h = 2\pi r_{\text{axle}} ).

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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