. As he approaches
a circular turn on the road of radius 80 m, he applies brakes and reduces his
speed at the constant rate 
.
What is the magnitude and direction of
the net acceleration of the cyclist on the circular turn ?
Answer:
Here r = 80 m
Centripetal acceleration,
Suppose the cyclist applies
brakes at the point A of the circular turn, then, tangential acceleration 
(negative)
will act opposite to velocity.
Given 
As the accelerations 
and are perpendicular
to each other, so the net acceleration of the cyclist is
Fig. 4.110
.
If 
is the
angle between the total acceleration and the velocity of the cyclist, then,
or 
.
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