The radius of wire in a coaxial cable is .65 mm
Answers
Answer:
Explanation:
7.0714 x 10^4 Newtons
Given:
The measurement of the radius of the steel cable = 1.5 centimetre
Converting the radius to meters by dividing by 100:
= 1.5 / 100
= 0.015 meters
Therefore, the radius of the steel cable in meters is 0.015 m.
The maximum allowable stress given in the question = 10^8 N/m^-2
To Find:
The maximum load the cable can support.
Calculating:
The formula we use to calculate maximum stress:
Maximum Stress = Maximum Force / Area of cross section
Taking Area of cross section to the other side of the formula we get:
Maximum Force = Maximum Stress x Area of cross section
Calculating the area of cross section:
We know that the area of cross section of a cable will be in the form of a circle.
The formula that we use to calculate the area of a circle:
=
Substituting the values known to us in this formula use to calculate maximum force we get:
= 22/7 x 0.015 x 0.015
= 0.000707142 (Approximately)
Now calculating maximum force,
= 0.000707142 x 10^8
= 7.0714 x 10^4 Newtons
Therefore, the maximum load which the cable can support is 7.0714 x 10^4 Newtons.