Moderate

The acceleration of a train travelling with speed of 400m/s as it goes round a curve of radius 160m is

Correct answer: A. 1km/s2

  • A. 1km/s2
  • B. 100m/s2
  • C. 10m/s2
  • D. 1m/s2

Explanation

The correct answer is Option A: 1 km/s2. The acceleration of the train is correctly calculated using the formula for centripetal acceleration: ac = v2 / r. Plugging in the values of speed (400 m/s) and radius (160 m) gives 1 km/s2. The other options are incorrect because they do not correctly apply the formula for centripetal acceleration.

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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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