A machine has a velocity ratio of 2.5 and 50% efficient,what effort would be needed,to lift a load of 200N with the aid of this machine.

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200/ 2.5 = 80 but need twice that so 160 N

To calculate the effort needed to lift a load using a given machine, we can use the following formula:

Effort = Load / (Velocity Ratio * Efficiency)

Given:
Load = 200 N
Velocity Ratio = 2.5
Efficiency = 50% = 0.5

Plugging these values into the formula, we can calculate the effort needed:

Effort = 200 N / (2.5 * 0.5)
= 200 N / (1.25)
= 160 N

Therefore, the effort needed to lift a load of 200 N with the aid of this machine would be 160 N.

Did you know?

Did you know that the velocity ratio of a machine is a measure of how much the machine can multiply or amplify the applied effort? In the given scenario, the machine has a velocity ratio of 2.5. This means that for every unit of effort applied, the machine can lift the load with a force 2.5 times greater. However, it's important to also consider the efficiency of the machine. Efficiency is a measure of how well a machine converts the applied effort into useful work. In this case, the machine is 50% efficient, meaning that only half of the effort applied is actually used to lift the load. So, to determine the effort needed, we can calculate it by dividing the load (200N) by the product of the velocity ratio and efficiency. Effort = Load / (Velocity Ratio * Efficiency) = 200N / (2.5 * 0.50) = 200N / 1.25 = 160N Therefore, to lift a load of 200N with the aid of this machine, an effort of 160N would be needed, taking into account both the velocity ratio and efficiency.