A vehicle is accelerating along a race track with curved path as shown in Figure

Question

A vehicle is accelerating along a race track with curved path as shown in Figure 1. At position P, the instantaneous radius of rotation of the vehicle is known to be 250 m and the vehicle has a velocity of 195 km/hr. An observer at fixed location O observes the acceleration in the 0 direction to be 5 m/s2. Construct a scaled velocity diagram of the vehicle velocity including the r and theta vector components. Measure and identify the r and theta vector components. Draw the scaled acceleration diagram of the vehicle and solve (graphically) for the total acceleration (magnitude and direction) of the vehicle and also the tangential component.

Explanation / Answer

an=v^2/r

v=195*5/18=54.16

an=11.73 towards the centre

now construct a vector traingle with the point O P and centre of the circle

and solve

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