Efficiency Calculation for Acme's Manual Pump

What is the efficiency calculation for Acme's manual pump?

Based on the given data, how efficient does Acme's pump need to be in order to pump 125 mL of water to a depth of 40 meters?

Efficiency Calculation for Acme's Manual Pump

To calculate the efficiency of Acme's manual pump, we need to consider the energy required to pump water to a certain depth and the energy input provided by the operator. In this scenario, Acme claims that a stroke of the pump handle using 51 joules of energy can dispense 125 mL of water to a depth of 40 meters.

Efficiency of a pump is defined as the ratio of the work output to the work input. In this case, the work output is the energy required to pump water to the specified depth, and the work input is the energy input provided by the operator to operate the pump.

The efficiency of Acme's pump needs to be 1 in order to meet the specified requirement of pumping 125 mL of water to a depth of 40 meters. This means that all the energy input provided by the operator must be effectively utilized to pump the water to the desired depth.

To calculate the efficiency, we can use the formula: Efficiency = Work output / Work input. In this scenario, the work output is equal to the energy required to pump 125 mL of water to a depth of 40 meters, which is 49,000 Joules. The work input is provided by the operator through the pump handle strokes, which is also 49,000 Joules.

Therefore, the efficiency of Acme's pump needs to be 1 to meet the specified requirement. This indicates that all the energy input from the operator is effectively utilized to pump water to the desired depth, without any energy loss in the process.