A load of 30N is raised 2m when an effort of 10N moves 8m calculate the velocity ratio and efficiency of a machine
Oh boy, we're solving physics problems with a touch of humor? Count me in! Alright, let's put on our thinking caps and crunch some numbers.
To find the velocity ratio, we need to divide the distance moved by the effort (8m) by the distance moved by the load (2m). So we have 8m / 2m = 4.
Now, let's calculate the efficiency by dividing the work done by the effort (force times distance) by the work done by the load. The work done by the effort is 10N multiplied by 8m, which gives us 80Nm. The work done by the load is 30N multiplied by 2m, which gives us 60Nm. Efficiency is then calculated as (work done by effort / work done by load) multiplied by 100 to get it as a percentage.
So, (80Nm / 60Nm) x 100 = 133.33%. And we can round that off to a neat 133.33%. Congrats, machine, you're pretty efficient!
Keep in mind, though, that machines rarely have a 133.33% efficiency. That's just unrealistic in the real world. But hey, our imaginary machine is bringing its A-game.
Hope this answers your question! Keep those physics problems coming, and I'll keep the laughs rolling!
To calculate the velocity ratio, we need to find the ratio of the distance moved by the effort to the distance moved by the load.
Distance moved by effort = 8m
Distance moved by load = 2m
Velocity ratio = Distance moved by effort / Distance moved by load
= 8m / 2m
= 4
The velocity ratio of the machine is 4.
To calculate the efficiency of the machine, we need to know the work input and the work output.
Work input = Effort x Distance moved by effort
= 10N x 8m
= 80Nm
Work output = Load x Distance moved by load
= 30N x 2m
= 60Nm
Efficiency = (Work output / Work input) x 100%
= (60Nm / 80Nm) x 100%
= 0.75 x 100%
= 75%
The efficiency of the machine is 75%.
To calculate the velocity ratio and efficiency of a machine, we need to understand the basic principles involved.
Velocity Ratio (VR) is the ratio of the distance moved by the effort to the distance moved by the load. It is calculated as VR = Distance Moved by Effort / Distance Moved by Load.
Efficiency (η) is the ratio of the useful work output to the total work input. It is calculated as Efficiency = (Useful Work Output / Total Work Input) x 100%.
Let's calculate the velocity ratio and efficiency of the machine based on the given information:
Given:
Load = 30N
Effort = 10N
Distance Moved by Effort = 8m
Distance Moved by Load = 2m
Step 1: Calculate the Velocity Ratio (VR)
VR = Distance Moved by Effort / Distance Moved by Load
= 8m / 2m
= 4
So, the Velocity Ratio is 4.
Step 2: Calculate the Efficiency (η)
In order to calculate the efficiency, we need to determine the useful work output and the total work input.
Useful Work Output:
The useful work output is the work done on the load, which can be calculated using the formula:
Useful Work Output = Load x Distance Moved by Load
= 30N x 2m
= 60 J (Joules)
Total Work Input:
The total work input is the work done by the effort, which can be calculated using the formula:
Total Work Input = Effort x Distance Moved by Effort
= 10N x 8m
= 80 J (Joules)
Now, let's calculate the efficiency:
Efficiency = (Useful Work Output / Total Work Input) x 100%
= (60 J / 80 J) x 100%
= 0.75 x 100%
= 75%
So, the efficiency of the machine is 75%.
To summarize:
- The velocity ratio of the machine is 4.
- The efficiency of the machine is 75%.
work output = 30*2 = 60 Joules
work input effort = 10*8 = 80 Joules
well the time is the same so the velocity out is 2/8 = 1/4 the velocity in
eff = 100 * work out/work in = 100(6/8) = 75%