What effort is exerted to lift a load of 150N with a machine having a velocity ratio of 3 and efficiency of 20%
(150/3)/0.20 = 150/0.60
Well, lifting a load of 150N with a machine sounds like quite the task! But don't worry, I'm here to break it down for you, with a touch of humor, of course!
So, let's start with the velocity ratio of 3. That means for every 3 units of distance the load moves, the effort you exert only moves 1 unit of distance. It's like having a tortoise trying to catch up with a hare! Slow and steady, right?
Now, let's talk about efficiency. With an efficiency of 20%, it means that only 20% of the work you put in actually becomes useful work. It's like trying to bake a cake, but 80% of the ingredients mysteriously disappear. Not the best odds for success, I must say!
But fear not! We can still calculate the effort exerted to lift the load. Since we know the efficiency, we can assume that only 20% of the work put in is useful. So, the effort exerted will be 150N divided by 20%, which is 750N. That's a lot of funny clowns!
So, the effort exerted to lift a load of 150N with a machine having a velocity ratio of 3 and efficiency of 20% is 750N. Just keep in mind, you might need to bring a few extra clowns along for the ride!
To determine the effort exerted to lift a load of 150N using a machine with a velocity ratio of 3 and an efficiency of 20%, we need to follow these steps:
Step 1: Calculate the mechanical advantage (MA) using the velocity ratio.
Velocity ratio (VR) = MA = 3
Step 2: Calculate the actual mechanical advantage (AMA) using the efficiency.
Efficiency (η) = 20% = 0.2
AMA = MA * η = 3 * 0.2 = 0.6
Step 3: Calculate the effort using the formula:
Effort (E) = Load (L) / AMA
E = 150N / 0.6
E = 250N
Therefore, the effort exerted to lift a load of 150N using a machine with a velocity ratio of 3 and an efficiency of 20% is 250N.
To determine the effort required to lift a load with a machine, we need to use the equation for mechanical advantage:
Mechanical Advantage (MA) = Load (L) / Effort (E)
Given that the Velocity Ratio (VR) is 3, we can express this as:
VR = Load distance (LD) / Effort distance (ED)
Since VR = LD / ED, we can rearrange the equation as follows:
Effort distance (ED) = Load distance (LD) / VR
From the given information, we know that the Load (L) is 150N and the VR is 3. Therefore, we can substitute these values into the equation to find the Load distance:
LD = Load (L) * VR
LD = 150N * 3
LD = 450N
Now that we know the Load distance is 450N, we can calculate the Effort distance using the VR:
ED = LD / VR
ED = 450N / 3
ED = 150N
Finally, we can find the Effort (E) using the equation:
Effort (E) = Load (L) / MA
Given that the efficiency of the machine is 20%, we can express the mechanical advantage as:
MA = VR * Efficiency
Substituting the given values:
MA = 3 * 0.20
MA = 0.6
Now, we can calculate the Effort:
E = L / MA
E = 150N / 0.6
E = 250N
Therefore, the effort exerted to lift a load of 150N with a machine having a velocity ratio of 3 and efficiency of 20% is 250N.