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An object with a mass of #3 kg# is hanging from an axle with a radius of #14 m#. If the wheel attached to the axle has a radius of #1 m#, how much force is needed to raise the object?

Answer 1

Julia Aguilar

The force is #=411.6N#

The load L=(3g)N#

Radius of axle #r=14m#

Radius of wheel #R=1m#

Taking moments about the center of the axle

#F*R=L*r#

#F*1=3*g*14#

#F=(3*g*14)/1=411.6N#

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Answer 2

Adrian Ayala

To calculate the force needed to raise the object, you can use the formula for torque: Torque = Force × Radius. First, find the torque required to raise the object using the formula: Torque = (mass × gravitational acceleration) × radius of the axle. Then, divide this torque by the radius of the wheel to find the force needed to raise the object.

Torque = (3 kg × 9.8 m/s^2) × 14 m = 411.6 Nm Force = Torque / Radius of the wheel Force = 411.6 Nm / 1 m = 411.6 N.

Therefore, the force needed to raise the object is 411.6 Newtons.

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Answer from HIX Tutor

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.