A machine has velocity ratio of 4 and efficiency of 75%when an effort of 150N is applied calculate the mechanical advantage

Answer 1

To calculate the mechanical advantage of the machine, we first need to determine the output force (load) it can lift or move using the given information.

Efficiency = Output work / Input work

Efficiency = (Output force x Output distance) / (Input force x Input distance)

Output force = Effort force / Velocity ratio

Output force = 150N / 4 = 37.5N

Now, let's calculate the work done by the machine and the work done by the effort.

Input work = Input force x Input distance

Output work = Output force x Output distance

Since Efficiency = Output work / Input work, we can rearrange this equation to solve for Output work and Input work:

Output work = Efficiency x Input work

Output work = 0.75 x (150N x d)

Input work = 150N x d

Now we can solve for the distance (d) using the equation for efficiency:

0.75 x (150N x d) = 37.5N x d

112.5d = 37.5d

d = 37.5m

Now that we have found the distance, we can calculate the mechanical advantage of the machine:

Mechanical Advantage = Output force / Input force

Mechanical Advantage = 37.5N / 150N

Mechanical Advantage = 0.25

Therefore, the mechanical advantage of the machine is 0.25 or 1:4.