Real World Radical Formulas Radical formulas can be utilized in numerous ways in computing complex equations when particular exponents are given. Operating of the underlying formulas that mainly encompass radicals is normally solved similar way as the formals without the rules. Nevertheless, problems and variables may alter but not the corresponding rules.
The capsize screening value must be less than 2
Function of C= 4d-1/3b
Where variable b= beam width,
Variable d= Displacement
Given values of Tartan 4100:
D=23,245 pounds and width is 13.5 feet
a) Capsized screening value for the Tartan 4100
C= 4d-1/3b
C= 4*23,245-1/3×13.5 compute the equation to remove the cube root
=4*0.035039*13.5
=1.8921
C= 1.8921 the capsize screening value that is less than 2, which is safe
b) Making d the subject of the formula
C= 4d-1/3b Dividing both sides by 4b
C = 4d-1/3b divide both sides by the variable 4b
d-1/3= C/4b remove the negative on the cube root
d1/3 = 4b/C
d = (4b/C)3
1.8921= 4d-1/3(13.5)
1.8921/( 4*13.5)= 4d-1/3*13.5/[4*13.5] Divide both sides 4*13.5
1.8921/54= d-1/3 Eliminate the cube root
1.8921-1/3/(54-1/3)= d
543/1.89213= d multiply to simplify the equation
157464/6.751269=d
D= 23323.615
c) Displacement
C= 4d-1/3* 6= 24d-1/3
C= 4d-1/3* 4= 16d-1/3
C= 4d-1/3 *2= 8d-1/3
Displacement is given by
d = (4*13.5/2)3
= 19683
The depth is regarded safe for the ocean sailing at the prevailing displacement that is relatively greater than 19,683 feet
Formula grants proper guidelines for designing a safe sail boat. Nevertheless, capsize screening formula that does not incorporate the prevailing hull shape or corresponding ballast position.
Utilization of a Radical formula can answer numerous diverse questions. Manipulating of Radical formulas has been utilized to answer the prevailing questions. The problems and variables may alter but the corresponding rules remains the same. Moreover, Radical formulas can utilize in numerous means to solve complex equations that pertains to robots and sailboat.
Reference
Dugopolski, Mark. Intermediate Algebra. New York, NY: McGraw-Hill, 2012. Print.