A labourer raises a load of mass 120N by using a system of pulleys he exert a force of 400N on the road. Calculate: 1. The velocity ratio 2. Mechanical advantage 3. The efficiency of the system
To calculate the required values, we need to define the terms first:
1. Velocity ratio: It is the ratio of the distance moved by the effort force to the distance moved by the load.
2. Mechanical advantage: It is the ratio of the load to the effort force.
3. Efficiency: It measures how well a machine converts input force into useful work output.
Now, let's calculate these values step by step:
1. Calculating the velocity ratio:
To find the velocity ratio, we need to determine the distances moved by the effort force and the load. Since we don't have those distances given in the question, we can't calculate the exact velocity ratio.
The general formula for velocity ratio in a pulley system is:
Velocity ratio = (Distance moved by the effort force) / (Distance moved by the load)
Without the distances provided, we can't determine the exact velocity ratio.
2. Calculating the mechanical advantage:
The mechanical advantage can be calculated using the following formula:
Mechanical advantage = Load / Effort force
Given:
Load = 120N
Effort force = 400N
Mechanical advantage = 120N / 400N
Mechanical advantage = 0.3
Therefore, the mechanical advantage of the system is 0.3.
3. Calculating the efficiency:
Efficiency is given by the formula:
Efficiency = (Useful work output / Input work) * 100
In this case, the input work is the product of the effort force and the distance moved by the effort force. The useful work output is the product of the load force and the distance moved by the load.
However, since we are not given the distances moved by the effort force and the load, we cannot calculate the efficiency of the system.
To calculate the efficiency, we would need additional information, such as the distances moved by the effort force and the load.