In a simple machine, the energy input is 120 J. If the efficiency of the machine is 80%, calculate the energy output
1 answer:
Answer:
<h2>96 Joules</h2>Explanation:
We know that efficiency is the ratio of output power by input power. i.e. Efficiency describes the quality of machine or system how good it is.
Solution,
Energy input of system = 120 J
Efficiency = 80% =
Now,
According to definition,
Efficiency =
Cross multiplication:
Calculate the product
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Answer:
The velocity just before hitting the ground is
Explanation:
From the question we are told that
The initial speed is
The final speed is
From the equations of motion we have that
Where s is the distance travelled which is the height of the cliff
So making it the subject of the the formula we have that
Where a is the acceleration due to gravity with a value
So
Now we are told that was through horizontally with a speed of
Which implies that this would be its velocity horizontally through out the motion
Now it final velocity vertically can be mathematically evaluated as
Substituting values
The resultant final velocity is mathematically evaluated as
Substituting values
w = instantaneous angular speed = 1.25 rad/s
r = radius = 4.65 m
α = angular acceleration = 0.745 rad/s²
centripetal acceleration is given as
= rw²
= (4.65 ) (1.25)² = 7.27 m/s²
tangential acceleration is given as
= rα
=4.65 x 0.745 = 3.46 m/s²
angle is given as
= 64.5 deg