Step 1: Understanding the Concept:
Velocity is a vector quantity, meaning it has both magnitude (speed) and direction. In circular motion, even if the speed remains constant, the direction changes continuously. After a half revolution, the object is moving in the exactly opposite direction. Step 2: Key Formula or Approach:
1. Let the initial velocity be \(\vec{v}_1 = v\).
2. After half a revolution, the final velocity is \(\vec{v}_2 = -v\).
3. Change in velocity \(\Delta \vec{v} = \vec{v}_2 - \vec{v}_1\). Step 3: Detailed Explanation:
Given speed \(v = 450\) Kmph.
At the start of the half revolution, let the velocity be \(+450\) Kmph (in one direction).
After half a revolution, the aeroplane is headed in the opposite direction, so the velocity is \(-450\) Kmph.
Magnitude of change in velocity:
\[ |\Delta v| = |v_{final} - v_{initial}| \]
\[ |\Delta v| = |-450 - 450| \]
\[ |\Delta v| = |-900| = 900 \text{ Kmph} \] Step 4: Final Answer:
The change in velocity is 900 Kmph.
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