A machine with a velocity ratio of 5 was used to raise a load of 1.2kg mass through a height of 10m if the work done to raise the load is 800j find the work output and efficiency and mechanical advantage
To find the work output, efficiency, and mechanical advantage, we need to understand the basic formulas and concepts related to these quantities.
1. Work Output (Wo):
The work output is the work done by the machine in lifting the load. It can be calculated using the formula:
Wo = Force x Distance
In this case, the force can be found using the formula:
Force = Mass x Gravity
where Mass is the mass of the load and Gravity is the acceleration due to gravity (9.8 m/s^2).
Distance is the height through which the load is raised.
2. Efficiency (η):
Efficiency measures how effectively a machine converts input work into useful output work. It is represented as a percentage. The formula to calculate efficiency is:
η = (Wo / Wi) x 100
where Wo is the work output and Wi is the work input.
3. Mechanical Advantage (MA):
Mechanical Advantage shows how much a machine multiplies the input force. It is calculated using the formula:
MA = (Output Force / Input Force)
In this case, the Output Force is the force exerted by the machine, which is the force used to lift the load. The Input Force is the force applied to the machine.
Now, let's use these formulas to solve the problem:
Given data:
Velocity Ratio (VR) = 5
Mass of the load (m) = 1.2 kg
Height (h) = 10 m
Work Input (Wi) = 800 J
1. Work Output (Wo):
Using the formula Wo = Force x Distance, we need to find the Force exerted by the machine:
Force (F) = Mass x Gravity = 1.2 kg x 9.8 m/s^2
Distance (d) = Height = 10 m
Wo = F x d
2. Efficiency (η):
Using the formula η = (Wo / Wi) x 100, we can calculate efficiency.
3. Mechanical Advantage (MA):
Using the formula MA = (Output Force / Input Force), we can find the mechanical advantage.
By substituting the values into the respective formulas, we can find the answers to the question.