A system of pulleys has a velocity ratio of 6 and mechanical advantage of 5 the system is used to raise a load of 3000N through 10m calculate the distance move by effort
We can start by using the formulas for velocity ratio and mechanical advantage:
Velocity ratio = distance moved by effort / distance moved by load
Mechanical advantage = load / effort
We know that the velocity ratio is 6 and the mechanical advantage is 5, so we can set up two equations:
6 = distance moved by effort / distance moved by load
5 = load / effort
We also know that the load is 3000N and the distance moved by load is 10m. We can use these values to eliminate one of the unknowns. Let's solve for distance moved by effort:
5 = 3000 / effort
effort = 600N
Now we can substitute this value for effort in the first equation:
6 = distance moved by effort / 10
distance moved by effort = 60m
Therefore, the distance moved by effort is 60m.
To calculate the distance moved by the effort force, we can use the formula for velocity ratio:
Velocity Ratio (VR) = Distance moved by effort (De) / Distance moved by load (Dl)
Given VR = 6, we can rearrange the formula to solve for De:
De = VR * Dl
In this case, the load is raised through a distance of 10m.
De = 6 * 10 = 60 meters
Therefore, the distance moved by the effort force is 60 meters.