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.

Question

Yogita Bang · Answer

a = a T + a R ----------->(vector addition) Therefore, a 2 = a T 2 + a R 2 (since, angle between a T & a R is 90&ordm;) a T = {45(5/18) - 30(5/18)}/5 = 5/6 a R = v2/r = {40(5/18)}/200 = 1/18 a 2 = 25/36 + 1/324 = 226/324 a&asymp; 0.835 m/s 2

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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.

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.

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