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Complete Question
(A) What is the maximum tension possible in a 1.00- millimeter-diameter nylon tennis racket string?
(B) If you want tighter strings, what do you do to prevent breakage: use thinner or thicker strings? Why? What causes strings to break when they are hit by the ball?
The tensile strength of the nylon string is
Answer:
A
T = 471.3 \ N
B
To prevent breakage the thickness of the string is increased
String breakage when the racket hit the ball is as a result of the string not being thick enough to withstand the increase in tension
Explanation:
From the question we are told that
The diameter is
The tensile strength of the nylon string is
Generally the radius is mathematically evaluated as
=>
=>
The cross sectional area is mathematically represented as
=>
=>
Generally the tensile strength of nylon is mathematically represented as
Where T is the tension on the maximum tension on the string
So
=>
=>
Form the equation above we see that
So if the tension is increased to prevent breakage the thickness of the string is increased(i. e the cross-sectional area )
String breakage when the racket hit the ball is as a result of the string not being thick enough to withstand the increase in tension
Answer:
Detailed solution is given below:
