a simple machine moves a load of 400N through a distance of 10cm when a force of 20N is applied to it.if the distance moved by the force applied on the machine is 3m.find a)input work b)output work c)AMA d)IMA e)efficiency of the machine.
answers
work = force * distance
there's a 300:10 and a 400:20 ratio in there to work with
a) w=60j
b) w=40j
c) AMA =20
d) IMA =20
e) EFFICIENCY=100%
Yes is correct
Physics
To find the solution to this problem, we need to understand and use some basic formulas related to work and machines. Here's how you can calculate each part of the problem:
a) Input Work:
Input work refers to the work done by the force applied to the machine. It can be calculated using the formula:
Input Work = Force × Distance
Given that the force applied is 20N and the distance moved by the force is 3m, we can calculate the input work as follows:
Input Work = 20N × 3m = 60 joules (J)
Therefore, the input work is 60 joules (J).
b) Output Work:
Output work is the work done by the machine, which in this case is the work done on the load. It can be calculated using the same formula as input work:
Output Work = Force × Distance
Given that the load being moved is 400N and the distance it moves is 10cm (0.1m), we can calculate the output work as follows:
Output Work = 400N × 0.1m = 40 joules (J)
Therefore, the output work is 40 joules (J).
c) AMA (Actual Mechanical Advantage):
AMA represents the ratio of output force to input force. In this case, we can calculate it using the formula:
AMA = Output Force / Input Force
Given that the output force is 400N and the input force is 20N, we can calculate the AMA as follows:
AMA = 400N / 20N = 20
Therefore, the AMA is 20.
d) IMA (Ideal Mechanical Advantage):
IMA represents the theoretical or ideal mechanical advantage of the machine. It can be calculated using the formula:
IMA = Distance of Input Force / Distance of Output Force
Given that the distance moved by the force applied on the machine is 3m, and the distance moved by the load is 0.1m, we can calculate the IMA as follows:
IMA = 3m / 0.1m = 30
Therefore, the IMA is 30.
e) Efficiency of the Machine:
Efficiency is the ratio of output work to input work, represented as a percentage. In this case, we can calculate it using the formula:
Efficiency = (Output Work / Input Work) × 100
Using the values we calculated earlier, we find:
Efficiency = (40J / 60J) × 100 = 66.67%
Therefore, the efficiency of the machine is approximately 66.67%.