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A train travels along a horizontal circular curve that has a radius of 200 m. If the speed of the train is uniformly increased from 30 km/h to 45 km/h in 5 s, determine the magnitude of the acceleration at the instant the speed of the train is 40 km/h.

yours katarnak Suresh , 13 Years ago

Grade Upto college level

1 Answers

Yogita Bang

a = a_T + a_R----------->(vector addition)

Therefore, a²= a_T² + a_R² (since, angle between a_T & a_R is 90º)

a_T= {45(5/18) - 30(5/18)}/5 = 5/6

a_R= v2/r = {40(5/18)}/200 = 1/18

a²= 25/36 + 1/324 = 226/324

a≈ 0.835 m/s²

Last Activity: 13 Years ago

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Mechanics> magnitude-and-accelertion...

A train travels along a horizontal circular curve that has a radius of 200 m. If the speed of the train is uniformly increased from 30 km/h to 45 km/h in 5 s, determine the magnitude of the acceleration at the instant the speed of the train is 40 km/h.

yours katarnak Suresh , 13 Years ago

Yogita Bang

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