6.1. Relating torque and end-to-end rotation

Try these first

1. 1.

   What is torque?

   Hint

   Think about the turning effect of a force.

2. 2.

   Define axial strain.

   Hint

   Consider how materials stretch under tension.

3. 3.

   What is the key relationship between torque and end-to-end rotation?

   • Torque is unrelated to rotation.
   • Torque leads to end-to-end rotation.
   • End-to-end rotation occurs randomly.

   Hint

   Relate torque to its mechanical effects.

4. 4.

   True or False: Axial strain only occurs under compressive loads.

   • True
   • False

   Hint

   Think about how materials behave in different loading scenarios.

5. 5.

   A hollow aluminum cylinder has a radius of 0.5 m and is subjected to a torque of 200 Nm. Calculate the angle of twist if the polar moment of area is 0.02 m^4.

   Hint

   Pay close attention to the units while calculating.

6. 6.

   A hollow cylinder is subjected to an axial tensile force of 1000 N and has an axial strain of 0.002. Calculate the Young's modulus if the cross-sectional area is 0.005 m^2.

   Hint

   Break down the formula into parts to simplify your calculations.