A triangle has a base of 7 feet and an area of 21 square feet . Find the triangles height .
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Hello!
The answer is:
Luke did a work of 308N.m or 308 Joules.
<h2>Why?</h2>When a force is applied on a object making it to move covering a distance we call it "work". The movement caused by the force, will follow the same direction that the force.
We can calculate the work done by using the following equation:
Where,
Work is the transferred energy.
Force, is the force applied to the object.
Distance, is the distance covered due to the applied force.
α, is the angle at the work is done.
We are given the following information to calculate the work done:
So, substituting the given information into the equation to calculate work, we have:
Hence, we have that Luke did a work of 308N.m or 308 Jouls.
Have a nice day!
The Work required to pump water out of the spout would be equal to 464,062.5 π
<h3>How can we calculate the work done?</h3>Given data :
3 ft, 4 ft, 5 ft A right triangular prism tank with a spout is given.
weight of water = 62.5 Ib/ft³
inner radius ( r ) = 3 x 2 =6 ft
Outer radius ( R ) = 3 x 4 = 12 ft
Height ( h ) = 3 x 5 = 15 ft
To determine the work required to pump water out of the spout
y = Vertical distance
dv = cross-section volume
dw = weight
The radius of the tank
Radius = ( r - R ) y/h + R
Radius = ( 6 - 12 ) y/15 + 12
So, Radius = 12 - 0.4y
dv ( cross section volume )
Weight of cross-section ( dw ) = 62.5 ( 12.5 - 0.4y )² π dy
The work done to pump water out of the spout will be
Work done = ∫¹⁵₀ 62.5 ( 12.5 - 0.4y )² π dy
∴ Work done ( W ) = 464,062.5
Hence we can conclude that the Work required to pump water out of the spout would be 464,062.5 π
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