a toy train is traveling along a circular track at a constant speed. the acceleration of the train is found to be 8.0 m/s2 . if the radius of the track is 0.5 m, what is the speed of the train?



Answer :

The speed of the toy train travelling on a circle-shaped track is 2.0 m/sec also called velocity of the train.

How to find Speed ?

  • Speed is calculated as follows: speed = distance * time. Knowing the units for distance and time is necessary to calculate the units for speed.
  • Circular motion is defined as the movement of an object when its distance from the centre remains constant.
  • The object is rotating in a circle at a constant speed; therefore, when the direction of motion changes, the velocity changes.
  • When a moving object changes direction while maintaining its speed, it experiences a centripetal acceleration (ac), also referred to as a radial acceleration since it acts at right angles to the velocity at any given moment and is directed toward the centre of a circle.

The formula for centripetal acceleration is a = v2 / r, where a stands for acceleration, v for velocity, and r for radius. Rearranging terms:

v = sqrt(ra)

v = sqrt( [0.5 m * 8.0 m/sec^2] )

v = sqrt( 4.0 m^2/sec^2 )

v = 2.0 m/sec

The speed of toy train is 2.0 m/sec

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