Question

Total piston displacement is given by the following formula: TT P.D.ED?LN 4 Where P.D. = piston displacement, in cubic inches D = diameter of bore of cylinder L = length of stroke, in inches N = number of cycles Find the diameter if P.D. = 400 cu in., L = 4.5 in., N = 6 in. to 2 Find the diameter: decimal places Do NOT put in units​

Answer 1

≈ 1696460.03

Step-by-step explanation:

Formula:

[tex]P.D.=(\frac{\pi }{4})D^2LN[/tex] ⇒ [tex]\left(\frac{\pi }{4}\right)400^2\cdot 4.5\cdot 6[/tex]

Steps:

1. calculate pi and inset into equation

[tex]=0.785398(400^2)(4.5)(6)[/tex]

2. calculate exponents

[tex]=(0.785398)(160000)(4.5)(6)[/tex]

3 . multiply the rest

[tex]=(125663.706144)(4.5)(6)[/tex]

[tex]=(565486.677646)(6)[/tex]

4. divide by 2 to get the diameter

[tex]=\frac{3392920.065877}{2}[/tex]

5. round to the nearest hundredth (2 decimal points)

[tex]= 1696460.032938[/tex] ≈ 1696460.03

Hope this helped!