A 150 N weight is supported by a 5.00 m long wire having a diameter of 2.00 mm. If the weight caused the wire to stretch 0.500 mm, find the following:
A) Stress
B) Strain
C) Young's modulus for the wire
A 150 N weight is supported by a 5.00 m long wire having a diameter of...
5. A metal wire is 2.5 mm diameter and 2 m long. A force of 12 N is applied to it and it stretches 0.3 mm. Assume the material is elastic. Determine the stress in the wire σ, the strain in the wire ε, and Young's modulus for the wire material.
Find the minimum diameter of an l = 19.8 m long copper wire that will stretch no more than 8.21 mm when a mass of 399 kg is hung on the lower end. (Hint: The Young's modulus of copper is 110.0 GPa.)
Find the minimum diameter of an l = 15.1 m long copper wire that will stretch no more than 7.85 mm when a mass of 365 kg is hung on the lower end. (Hint: The Young's modulus of copper is 110.0 GPa.)
Find the minimum diameter of an l = 16.1 m long aluminum wire that will stretch no more than 7.25 mm when a mass of 305 kg is hung on the lower end. (Hint: The Young's modulus of aluminum is 70.0 GPa.)
Find the minimum diameter of an l = 16.7 m long steel wire that will stretch no more than 9.53 mm when a mass of 361 kg is hung on the lower end. (Hint: The Young's modulus of steel is 200.0 GPa.)
A piano wire 0.70 m long and 0.70 mm in diameter is fixed on one end. The other end is wrapped around a tuning peg 4.5 mm in diameter. Initially the wire, whose Young's modulus is 2.4× 10 10 N/ m 2 , has a tension of 20 N . Find the tension in the wire after the tuning peg has been turned through one complete revolution.
A diamond rod and a tungsten rod have the same length and diameter and are subjected to the same force. If the diamond rod stretches by 2.30 times 10^-6 m, by what amount will the tungsten rod stretch? Young's modulus for diamond = 1.22 times 10^12 N/m^2; for tungsten = 3.60 times 10^11 N/m^2. A spider of mass 7.0 times 10^-4 kg hangs from a 75.4-cm-long thread whose diameter is 2.0 times 10^-3 mm. Young's modulus of thread is 3....
A metal wire 1.4 mm in diameter and 2.1 m long hangs vertically with a 7.0-kg object suspended from it. If the wire stretches 1.6 mm under the tension, what is the value of Young's modulus for the metal?
Calculate the force a piano tuner applies to stretch a steel piano wire 7.50 mm, if the wire is originally 0.870 mm in diameter and 1.30 m long. Young's modulus for steel is 210 ⨯ 109 N/m2.
Calculate the force a piano tuner applies to stretch a steel piano wire 8.90 mm, if the wire is originally 0.860 mm in diameter and 1.30 m long. Young's modulus for steel is 210 ⨯ 109 N/m2.