An aircraft executes a horizontal loop of radius 1km with steady speed of 900km/h. What is its centripetal acceleration?
Correct answer: C. 62.5m/s2
- A. 250km/s2
- B. 75m/s2
- C. 62.5m/s2
- D. 60m/s2
Explanation
To find the centripetal acceleration of the aircraft, we converted the speed from km/h to m/s (900 km/h * 5/18 m/s/km = 250 m/s) and applied the formula: ac = v2 / r. Plugging in the values, we get ac = (250 m/s)2 / 1000 m = 62.5 m/s2. Therefore, the correct answer is 62.5 m/s2. Options A, B, and D are incorrect as they do not follow the correct formula and unit conversions.
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About Angular and Linear Quantities
Rotational motion relates angular displacement, angular velocity and angular acceleration to linear displacement, tangential velocity and tangential acceleration through the radius. Questions use radians, v equals r omega and tangential acceleration, while distinguishing tangential velocity from centripetal acceleration and angular quantities from their linear counterparts.
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