A load of 400n is to be lifted by a machine whoso efficiency is 40 percent. Calcute its magnitube of effort if velocity ratio is 5
400 N * 5 / .40
oops ... 400 N / (5 * .40)
To calculate the magnitude of effort, we need to use the formula for efficiency:
Efficiency = (Magnitude of effort / Load) * 100%
Since the efficiency is given as 40%, we can write this as:
40% = (Magnitude of effort / Load) * 100%
Rearranging the equation to solve for the magnitude of effort, we get:
Magnitude of effort = (Efficiency / 100%) * Load
Substituting the given values, we have:
Magnitude of effort = (40 / 100) * 400 N
Calculating the magnitude of effort:
Magnitude of effort = 0.4 * 400 N
Magnitude of effort = 160 N
So, the magnitude of effort required to lift the load of 400 N with an efficiency of 40% and velocity ratio of 5 is 160 N.
To calculate the magnitude of effort required to lift a load by a machine, we need to use the formula for mechanical advantage:
Mechanical Advantage (MA) = Load / Effort
Given information:
Load (L) = 400 N
Efficiency (η) = 40% (0.4)
Velocity ratio (VR) = 5
To find the effort (E), we first need to calculate the mechanical advantage using the formula:
MA = VR / η
Substituting the given values:
MA = 5 / 0.4
MA = 12.5
Now, we can rearrange the formula for mechanical advantage to solve for the effort:
Effort (E) = Load (L) / MA
Substituting the given load:
E = 400 N / 12.5
E = 32 N
Therefore, the magnitude of effort required to lift the load of 400 N with an efficiency of 40% and a velocity ratio of 5 is 32 N.