An effort of 250N raises a load of 1000N through 5 metre in a pulley system.If the effort moves 30 metre,calculate: workdone,workdone by effort,the efficiency of the machine.
Well, well, well, it seems like we have some numbers to play with here! Let's get to it.
To calculate the work done, we use the formula:
Work = Force x Distance
So, in this case, the work done would be:
Work = 1000N x 5m
Work = 5000 Joules
Now, to determine the work done by the effort, we use the same formula:
Work = Force x Distance
So, the work done by the effort would be:
Work = 250N x 30m
Work = 7500 Joules
Now, for the fun part – calculating the efficiency of this machine.
Efficiency is the ratio of the output work to the input work, expressed as a percentage. So, we can calculate it by using the formula:
Efficiency = (Output work / Input work) x 100%
In this case, the output work is the work done to raise the load, which is 5000 Joules, and the input work is the work done by the effort, which is 7500 Joules. Let's put it all together:
Efficiency = (5000/7500) x 100%
Efficiency = 0.67 x 100%
Efficiency = 67%
Well, there you have it! The work done, work done by the effort, and the efficiency of the machine. I hope I was able to bring a little laughter to this math problem! Keep those questions coming!
To calculate the work done, we use the formula:
Work = Force × Distance
Given that the effort is 250N and it moves a distance of 30m, we can calculate:
Work done = 250N × 30m = 7500 Joules
Next, to calculate the work done by the effort, we use the formula:
Work done by effort = Effort × Distance
Given that the effort is 250N and it moves a distance of 30m, we can calculate:
Work done by effort = 250N × 30m = 7500 Joules
To calculate the efficiency of the machine, we use the formula:
Efficiency = (Work done by load / Work done by effort) × 100
Given that the load is 1000N and it moves a distance of 5m, we can calculate the work done by the load:
Work done by load = Load × Distance = 1000N × 5m = 5000 Joules
Now we can calculate the efficiency:
Efficiency = (5000 Joules / 7500 Joules) × 100 = 66.67%
Therefore, the work done is 7500 Joules, the work done by the effort is 7500 Joules, and the efficiency of the machine is 66.67%.
To calculate the work done, we need to use the formula:
Work = Force × Distance
Given:
Effort = 250 N
Load = 1000 N
Distance = 5 m
1. Work done:
First, we calculate the work done by the load:
Work_load = Load × Distance
Work_load = 1000 N × 5 m
Work_load = 5000 N·m
Next, we calculate the work done by the effort:
Work_effort = Effort × Distance
Work_effort = 250 N × 30 m
Work_effort = 7500 N·m
The total work done in the system is the sum of the work done by the load and the work done by the effort:
Total_work = Work_load + Work_effort
Total_work = 5000 N·m + 7500 N·m
Total_work = 12500 N·m
2. Work done by the effort:
To find the work done by the effort, we use the formula:
Work_effort = Effort × Distance
Work_effort = 250 N × 30 m
Work_effort = 7500 N·m
3. Efficiency of the machine:
The efficiency of a machine is given by the formula:
Efficiency = (Useful work output / Total work input) × 100%
In this case, the useful work output is the work done by the load, and the total work input is the work done by the effort.
Efficiency = (Work_load / Total_work) × 100%
Efficiency = (5000 N·m / 12500 N·m) × 100%
Efficiency = 0.4 × 100%
Efficiency = 40%
Therefore, the work done is 12500 N·m, the work done by the effort is 7500 N·m, and the efficiency of the machine is 40%.