Q. 4.31 A cyclist is riding with a speed of As he approaches a circular turn on the road of radius he applies brakes and reduces his speed at the constant rate of every second. What is the magnitude and direction of the net acceleration of the cyclist on the circular turn?
Speed of cycle = 27 Km/h = 7.5 m/s
The situation is shown in the figure:-
The centripetal acceleration is given by :
The tangential acceleration is given as .
So, the net acceleration becomes :
or
or
Now for direction,
or
Thus,