What is the maximum tension possible in a 1.15 mm diameter nylon tennis racquet string? The ultimate tensile strength for nylon is 5.00×10^8N/m2.
To calculate the maximum tension possible in the nylon tennis racquet string, we need to use the formula for tension:
Tension (T) = (Pi * diameter^2 * Ultimate tensile strength) / 4
Let's break down the formula and substitute the given values:
Pi = 3.14159 (a mathematical constant)
Diameter = 1.15 mm = 0.00115 m (converted to meters)
Ultimate tensile strength = 5.00 × 10^8 N/m^2
Substituting the values into the formula, we get:
Tension (T) = (3.14159 * (0.00115m)^2 * 5.00 × 10^8 N/m^2) / 4
Simplifying the equation:
Tension (T) = (3.14159 * 0.00115m^2 * 5.00 × 10^8 N/m^2) / 4
Tension (T) ≈ (3.14159 * 0.00115m^2 * 5.00 × 10^8 N/m^2) / 4 ≈ 551694.258 N
Therefore, the maximum tension possible in the nylon tennis racquet string is approximately 551,694.258 Newtons (N).