A frictionless inclined plane of inclination 53 degree is used as a machine.what is the efficiency of the machine?
A frictionless inclined plane of inclination 53 degree is used as a machine.what is the efficiency of the machine? take sin 53degree=0.8 and cos 53degree=0.
If it is frictionless, the effciency is 100%
To determine the efficiency of a machine, you need to know both the input work and the output work of the machine.
In the case of a frictionless inclined plane, there is no frictional force, so the input work is equal to the product of the force and the distance over which it acts. The force is the component of the weight of the object parallel to the inclined plane, which can be calculated using the formula:
Force = weight * sin(θ)
Where θ is the angle of inclination (53 degrees in this case) and weight is the force due to gravity acting on the object.
Output work can be calculated using the formula:
Work = force * distance
Where the force is the component of the weight of the object parallel to the inclined plane and distance is the length of the inclined plane.
Finally, efficiency is the ratio of output work to input work, multiplied by 100 to express it as a percentage. The formula for efficiency is:
Efficiency = (Output work / Input work) * 100
To calculate the efficiency, you need to know the weight of the object and the length of the inclined plane. Once you have these values, you can follow the steps outlined above to find the efficiency of the machine.