A machine with v.r requires 1000J of work to raise a load of 500N through a vertical distance of 1.7m . find the efficiency and m.a of the machine.

Answer 1

First, let's determine the ideal mechanical advantage (IMA) by dividing the load by the effort force. We have the formula:

IMA = Load Force / Effort Force

We are given the load force (500 N) and the work done (1000 J). We can calculate the effort force by using the work-energy principle, which states that work done is equal to the change in potential energy. We have the formula:

Work Done = Load Force × Vertical Distance

Rearranging the formula to find the effort force:

Effort Force = Work Done / Vertical Distance

Now, we can find the effort force:

Effort Force = 1000 J / 1.7 m
Effort Force = 588.24 N

Now, we can determine the IMA:

IMA = 500 N / 588.24 N
IMA = 0.85 (approx.)

Now, let's determine the actual mechanical advantage (AMA) by dividing the load by the actual vertical distance raised:

AMA = Load Force / Actual Vertical Distance

We are given the actual vertical distance (1.7 m):

AMA = 500 N / 1.7 m
AMA = 294.12 N

Now, let's calculate the efficiency of the machine, which is the ratio of the actual output (AMA) to the ideal output (IMA). We have the formula:

Efficiency = (AMA / IMA) × 100%

Efficiency = (294.12 N / 0.85) × 100%
Efficiency = 346.02 %

It seems like the efficiency is greater than 100%, which is not physically possible. There might be some error in the problem statement or the given data. Please check the given data and problem statement again.