A cyclist is riding with a speed of 27 km/h. As he approaches a circular turn on the road of radius 80 m, he applies brakes and reduces his speed at the constant rate of 0.50 m/s every second. What is the magnitude and direction of the net acceleration of the cyclist on the circular turn ?
Speed of the cyclist, v = 27 km/h = 7.5 m/s
Radius of the circular turn, r = 80 m
Centripetal acceleration is,
The question can be illustrated in the figure as shown below:
The angle between ac and aT is 900. Therefore, the resultant acceleration a is given by,
Show that for a projectile the angle between the velocity and the x-axis as a function of time is given by,