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