Question

A stee rod has a radius of 1 cm and length of 1m Aforce of 10^5 N streches it along its length calculate 1.stress 2.elongation 3.strain on the rod young's modulus of steel is 2×10^11NM-2​

Answer 1

Answer:

Explanation:

Given that,

Radius r=10mm

Length l=1.0m

Force F=100kN

Young modulus Y=2.0×10^11Nm^2

Now, the stress is

Stress   =100×10^3N​/3.14×102m^2

=3.18×10^8Nm^−2

Now, the elongation is

 ΔL=FL/​AY

ΔL=3.18×10^8×1​/2.0×10^11

ΔL=1.59×10−3m

ΔL=1.59mm

Now, the strain is

Strain

=ΔL​/L

=1.59×10^−3/​1.0

=1.59×10^−3