A machine has velocity ratio of 5 and is 60% efficient. What effort would be needed to lift a load of 200N with tge aid of this machine?

600joulea

600joules

To find the effort needed to lift a load using the given machine, we need to calculate the mechanical advantage and then use the efficiency to determine the actual effort.

Step 1: Calculate the mechanical advantage:
The velocity ratio of a machine is the ratio of the distance moved by the effort to the distance moved by the load. In this case, the velocity ratio is given as 5.

Velocity ratio = Distance moved by effort / Distance moved by load

Let's assume the distance moved by the effort is E, and the distance moved by the load is L. The velocity ratio equation can be written as:

5 = E / L

Rearranging the equation, we can express E in terms of L:

E = 5L

So the mechanical advantage (MA) of the machine is 5.

Step 2: Calculate the effort:
Efficiency is defined as the ratio of the useful work output to the total work input. In this case, the efficiency of the machine is given as 60% or 0.6.

Efficiency = (Useful work output / Total work input) * 100

We can rearrange the equation to find the actual effort (F) needed:

0.6 = (F / 200) * 100

Rearranging the equation and solving for F:

F = (0.6 * 200) / 100

F = 1.2N

Therefore, the effort needed to lift the load of 200N with the aid of this machine would be approximately 1.2N.