Concept explainers
A rectangular strip of steel 2 ft 4 in. long, 1 ft 6 in. wide, and
The weight of the rectangular strip of steel.
Answer to Problem 1A
Weight of the rectangular strip
Explanation of Solution
Given:
Length
Breadth
Thickness
Diameter of hole
Specific volume of the steel strip
Concept used:
The weight of the steel strip is
Here, W is the weight, v is the specific volume and V is the total volume.
Calculation:
The total volume of the steel strip is calculated by the formula
Here, V is the total volume of the steel strip, Vr is the volume of rectangular strip and Vc is the volume of circular holes.
Now, the volume of the rectangular strip Vris calculated as
Here, l is the length, b is the breadth and t is the thickness of rectangle.
By substituting the values we get
Again, the volume of the circular holes Vc is calculated as
Here, r is the radius and t is the thickness of rectangle.
By substituting the values we get
Now, substituting the value of volume of rectangular strip and volume of circular holes in equation (1) we get
The weight of the steel strip is
Here, W is the weight, v is the specific volume and V is the total volume.
By substituting the values we get
Conclusion:
The weight of the steel strip is
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