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