6.2. Direction of Coriolis Component

Try these first

1. 1.

   What is the formula for the Coriolis component?

   Hint

   Think of how relative motion and rotation combine.

2. 2.

   What does $\boldsymbol{\omega}$ represent?

   Hint

   Consider it like the speed of rotation.

3. 3.

   What is the formula for the Coriolis acceleration?

   • $a_{cor} = \\boldsymbol{\\omega} \\times v_{rel}$
   • $a_{cor} = 2 \\boldsymbol{\\omega} v_{rel}$
   • $a_{cor} = 0.5 \\boldsymbol{\\omega} v_{rel}$

   Hint

   Look for the equation derived from combining sliding and rotation.

4. 4.

   True or False: The Coriolis component is always directed parallel to the sliding motion.

   • True
   • False

   Hint

   Recall the definition of the directionality of the Coriolis effect.

5. 5.

   A slotted arm mechanism is rotating at an angular speed of 10 rad/s. A point on the link slides with a relative speed of 4 m/s. Calculate the Coriolis component acting on the point.

   Hint

   Remember to use the correct multiplication.

6. 6.

   In a robotic arm with a crank system, if the angular velocity changes, describe how this affects the Coriolis component concerning a point sliding along the arm.

   Hint

   Think about how rapid changes in one part of the system affect the rest.