A model train runs on a circular track with radius 1.7 m. Its tangential velocit

Question

A model train runs on a circular track with radius 1.7 m. Its tangential velocity is 1.4 m/s and it is accelerating with a tangential acceleration of 0.87 m/s2. What is the magnitude of the train’s overall acceleration? Find the angle between the overall acceleration and the centripetal acceleration.

_____ m/s^2
_____ degrees A model train runs on a circular track with radius 1.7 m. Its tangential velocity is 1.4 m/s and it is accelerating with a tangential acceleration of 0.87 m/s2. What is the magnitude of the train’s overall acceleration? Find the angle between the overall acceleration and the centripetal acceleration.

_____ m/s^2
_____ degrees

Explanation / Answer

atan = 0.87 m/s^2

arad = v^2/r = 1.4^2/1.7 = 1.15 m/s^2

overall accelaration a = sqrt(0.87^1+1.15^2) = 1.5 m/s^2

theta = atan(atan/arad) = atan(0.87/1.15) = 37.1 degrees

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