What is the piston displacement of a master cylinder with a bore of 1.5 inches and a piston stroke of 4 inches?

What is the piston displacement of a master cylinder with a bore of 1.5 inches and a piston stroke of 4 inches?

• A. 7.0686 cubic inches
• B. 3.0 cubic inches
• C. 5.0 cubic inches
• D. 10.0 cubic inches

Answer: (A)

Piston displacement is the volume swept by the piston as it moves through its stroke, which is the bore cross-sectional area times the stroke length. For a circular bore, area = (π/4) × D^2. With a diameter of 1.5 inches, D^2 = 2.25, so area = (π/4) × 2.25 = π × 0.5625 ≈ 1.7671 in^2. Multiply by the stroke of 4 inches to get the displacement: 1.7671 × 4 ≈ 7.0686 cubic inches.

Piston displacement is the volume swept by the piston as it moves through its stroke, which is the bore cross-sectional area times the stroke length. For a circular bore, area = (π/4) × D^2. With a diameter of 1.5 inches, D^2 = 2.25, so area = (π/4) × 2.25 = π × 0.5625 ≈ 1.7671 in^2. Multiply by the stroke of 4 inches to get the displacement: 1.7671 × 4 ≈ 7.0686 cubic inches.