The table below shows the result obtained in an experiment to determine the performance of a single sting pulley system with a velocity ratio of 5.
LOAD(N) 50 100 200 300 400 500 600
EFFORT 30 45 65 85 105 125 145..
Plot a graph of load against effort.
b) use your graph to determine the mechanical advantage and efficiency corresponding to a load of 450N.
To plot a graph of load against effort, we will use the given data points:
LOAD(N): 50, 100, 200, 300, 400, 500, 600
EFFORT: 30, 45, 65, 85, 105, 125, 145
The graph will have the load on the x-axis and effort on the y-axis. The points on the graph will be (LOAD, EFFORT).
LOAD(N) | EFFORT
----------------
50 | 30
100 | 45
200 | 65
300 | 85
400 | 105
500 | 125
600 | 145
Now, let's plot the points on the graph:
graph here
To determine the mechanical advantage and efficiency corresponding to a load of 450N, we need to find the corresponding point on the graph.
As we can see from the plotted graph, the load of 450N falls between 400N and 500N. To determine the corresponding effort, we can interpolate the values:
LOAD(N): 400, 450, 500
EFFORT: 105, ?, 125
Using linear interpolation, we can find the effort corresponding to a load of 450N:
EFFORT = EFFORT_1 + (LOAD_2 - LOAD_1) * (EFFORT_2 - EFFORT_1) / (LOAD_2 - LOAD_1)
EFFORT = 105 + (450 - 400) * (125 - 105) / (500 - 400)
EFFORT = 105 + 50 * 20 / 100
EFFORT = 105 + 10
EFFORT = 115N
Therefore, the effort corresponding to a load of 450N is 115N.
To determine the mechanical advantage, we can use the formula:
Mechanical Advantage = Load / Effort
Mechanical Advantage = 450 / 115
Mechanical Advantage ≈ 3.91
To determine the efficiency, we can use the formula:
Efficiency = (Mechanical Advantage / Velocity Ratio) * 100
Efficiency = (3.91 / 5) * 100
Efficiency ≈ 78.2%
Therefore, the mechanical advantage corresponding to a load of 450N is approximately 3.91, and the efficiency is approximately 78.2%.