Work and Pumping Liquids

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Presentation transcript:

Work and Pumping Liquids 6.5 Work and Pumping Liquids

Hoover Dam Powerhouse Nevada & Arizona Greg Kelly, Hanford High School, Richland, Washington

Work

Work Done by a Constant Force

Example

Work Done by a Variable Force Over a very short distance, even a non-constant force doesn’t change much, so work becomes: If we add up all these small bits of work we get:

Example: Compressing a Spring A spring has a natural length of 1 m. A force of 24 N stretches the spring to 1.8 m. Find the force equation of the spring. a Find k: Review: Hooke’s Law: b How much work would be needed to stretch the spring 3m beyond its natural length?

I want to pump the water out of this tank I want to pump the water out of this tank. How much work is done if a full tank of water, 62.5 lbs per cubic foot, is pumped to the ground level? 5 ft 4 ft 10 ft The force is the weight of the water. The water at the bottom of the tank must be moved further than the water at the top. 5 ft 10 ft 10 4 ft dy

I want to pump the water out of this tank. How much work is done? distance force 5 ft 10 ft 10 4 ft dy

HW : p. 456 #’s 1-8, 9-17 odd, 21, 23

I want to pump the water out of this tank. How much work is done? distance force 5 ft 10 ft 10 4 ft A 1 horsepower pump, rated at 550 ft-lb/sec, could empty the tank in just under 14 minutes! dx

How much work is required to pump the oil to the rim? 10 ft 2 ft A conical tank is filled to within 2 ft of the top with salad oil weighing 57 lb/ft3. How much work is required to pump the oil to the rim? 10 ft Consider one slice (slab) first:

How much work is required to pump the oil to the rim? 10 ft 2 ft A conical tank if filled to within 2 ft of the top with salad oil weighing 57 lb/ft3. How much work is required to pump the oil to the rim? 10 ft

10 ft 2 ft A conical tank if filled to within 2 ft of the top with salad oil weighing 57 lb/ft3. How much work is required to pump the oil to the rim? 10 ft p