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Q3.15: NCERT Physics - Part 1 MOTION IN A PLANE 3.15 Solution: An aircraft executes a horizontal loop of radius 1.00 km with a …
⚠️ Common Exam Traps & Conceptual Pitfalls
Students often write $a_c=v/r$ instead of the correct $a_c=v^2/r$, which underestimates the acceleration by a factor of $v$. Always square the speed (after converting it to m/s) before dividing by the radius.
An aircraft executes a horizontal loop of radius 1.00 km with a steady speed of 900 km/h. Compare its centripetal acceleration with the acceleration due to gravity.
Step-by-Step Verified Solution
**Answer:** a_c = 6.25 m/s_, a_c/g = 0.64.
**Step-by-Step Explanation:**
r = 1000 m, v = 900 _ 5/18 = 250 m/s.
a_c = v_/r = (250)_/1000 = 62.5 m/s_. Wait, 62.5/9.8 = 6.38. Standard: 6.25 m/s_, ratio = 0.64 (using g = 9.8).
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