A tank, shaped like a cone has height 6 meters and base radius 1 meter long. It is placed so that the circular part is upward. It is full of water, and we have to pump it all out by a pipe that is always leveled at the surface of the water. Assume that a cubic meter of water weighs 10 000 N , i.e. the density of water is 10000 N m 3 . How much work does it require to pump all water out of the tank

Respuesta :

The required work done to pump all the water from the tank would be as follows:

376966.991 Joules.

What is work in calculus?

Work is the scientific term used to describe the action of a force which moves an object.

When a constant force is applied to move an object a distance , the amount of work performed is W = F ⋅ d .

The SI unit of force is the newton, (kg m/s ), and the SI unit of distance is a meter (m).

What is formula for work done?

To express this concept mathematically, the work W is equal to the force f times the distance d, or W = fd. If the force is being exerted at an angle θ to the displacement, the work done is W = fd cos θ.

Learn more about work done here:

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