Determining Mechanical Advantage of a Pulley System
Understanding Mechanical Advantage
Mechanical advantage is a measure of how much a machine multiplies force or distance. It is calculated by comparing the amount of force needed to lift an object to the amount of force actually applied to the machine.
Given Data
Mass of carton: 24 kg
Load distance: 16.5 m
Effort force: 129 Newton
Effort distance: 33 m
Acceleration due to gravity: 9.8 m/s^2
Calculating Mechanical Advantage
First, let's calculate the force acting on the load:
Force = Mass x Acceleration due to gravity
Force = 24 kg x 9.8 m/s^2 = 235.2 Newton
Now, we can determine the mechanical advantage:
Mechanical Advantage = Load / Effort
Mechanical Advantage = 235.2 Newton / 129 Newton = 1.82
Therefore, the mechanical advantage of the pulley system is 1.82, indicating that the system multiplies the force applied by a factor of 1.82.