A plastic dowel has a Young's Modulus of 1.50 ✕ 1010 N/m2. Assume the dowel will break if more than 1.50 ✕ 108 N/m2 is exerted. (a) What is the maximum force (in kN) that can be applied to the dowel assuming a diameter of 2.40 cm?
Kn
(b) If a force of this magnitude is applied compressively, by how much (in mm) does the 26.0 cm long dowel shorten? (Enter the magnitude.)
mm

a

b

Explanation:

From the question we are told that

      The Young modulus is  

      The stress is  

      The  diameter is  

The radius is mathematically represented as

The cross-sectional area is  mathematically evaluated as

Generally the stress is mathematically represented as

=>    

=>    

=>    

Considering part b

      The length is given as

Generally Young modulus is mathematically represented as

Here strain is mathematically represented as

So    

=>    

substituting values

Converting to mm

volts times amps 6 x 0.5 3w