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A particle moves along the curved path shown. If the particle has a speed of 40 ft/sec

Chapter 2, Problem 2/106

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QUESTION:

A particle moves along the curved path shown. If the particle has a speed of 40 ft/sec at \(A\) at time \(t_{A}\) and a speed of 44 ft/sec at \(B\) at time \(t_{B}\), determine the average values of the acceleration of the particle between \(A\) and \(B\), both normal and tangent to the path.

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QUESTION:

A particle moves along the curved path shown. If the particle has a speed of 40 ft/sec at \(A\) at time \(t_{A}\) and a speed of 44 ft/sec at \(B\) at time \(t_{B}\), determine the average values of the acceleration of the particle between \(A\) and \(B\), both normal and tangent to the path.

ANSWER:

Step 1 of 3

Calculate the resultant angle,

From the diagram,

\(\Delta \theta  = \left( {36^\circ  - 26^\circ } \right)\frac{\pi }{{180}}\)

\(\Delta \theta  = 0.1745\;{\rm{rad}}\)

Calculate the average velocity for the velocity vectors,

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