Question

If a slider moves at a velocity \( v \) on a link rotating at speed \( \omega \,\text{rad/s} \), the Coriolis component of its acceleration is

• A. \( \omega v \)
• B. \( 2\omega v \)
• C. \( 2\omega^2 v \)
• D. \( 2\omega v^2 \)

Hint:

Coriolis acceleration always acts perpendicular to the direction of relative velocity.

Answer 1

The Correct Option is B

Step 1: Understanding Coriolis acceleration.
Coriolis acceleration occurs when a particle moves relative to a rotating body.
Step 2: Formula for Coriolis acceleration.
The Coriolis component of acceleration is given by: \[ a_c = 2\omega v \] where \( \omega \) is angular velocity and \( v \) is relative velocity.
Step 3: Applying the given values.
Since the slider has velocity \( v \) on a link rotating at angular speed \( \omega \), the Coriolis acceleration becomes: \[ a_c = 2\omega v \]
Step 4: Conclusion.
The Coriolis component of acceleration is \( 2\omega v \).