A pulley system having 5 pulley is used to raise a load of 540 . Find the mechanical advantage and hence the effort if the efficiency is 75%
To find the mechanical advantage of the pulley system, we need to determine the ratio of the load to the effort.
The mechanical advantage (MA) of a pulley system is calculated using the formula:
MA = Load / Effort
Given that the load is 540 and the efficiency is 75% (0.75), we can calculate the effort.
First, multiply the load by the efficiency to find the effective load:
Effective Load = Load * Efficiency
= 540 * 0.75
= 405
Since we know that the mechanical advantage of a pulley system is equal to the number of pulleys, which in this case is 5, we can substitute the values into the formula to find the effort:
MA = Load / Effort
5 = 405 / Effort
Now, we can calculate the effort by rearranging the formula:
Effort = Load / MA
= 405 / 5
= 81
Therefore, the mechanical advantage of the pulley system is 5, and the effort required is 81 units.