To calculate the total effort required to lift the load, we need to use the formula for the efficiency of a simple machine:
Efficiency = (Output Work / Input Work) * 100%
Since the efficiency is given as 75%, we can calculate the total effort as follows:
Efficiency = (Output Work / Input Work) * 100%
75% = (Output Work / Input Work) * 100%
To find the total effort, we first need to calculate the input work and the output work.
Input Work = Effort × Effort Distance
Output Work = Load × Load Distance
Given:
Load = 1500 N
Load Distance = 110 cm
Effort Distance = 80 cm
Efficiency = 75%
We can substitute these values into the equations to find the total effort:
Efficiency = (Output Work / Input Work) * 100%
75% = (Load × Load Distance) / (Effort × Effort Distance) * 100%
Solving for Effort:
Effort = (Load × Load Distance) / (Efficiency * Effort Distance)
Substituting the given values:
Effort = (1500 N × 110 cm) / (0.75 * 80 cm)
Calculating the effort:
Effort = (165000 N cm) / (60 cm)
Effort = 2750 N
Therefore, the total effort required to lift the load is 2750 N.