Answer:
linear acceleration = 2.6 m/s²
revolutions = 6.375 rev
final angular velocity = 32.5 rad/s
final velocity = 6.5 m/s
Explanation:
given data
radius r = 0.200 m
angular acceleration = 13.0 rad/s²
time = 2.50 s
to find out
linear acceleration , How many revolutions do the tires , final angular velocity and final velocity
solution
first we get here linear acceleration that is express as
linear acceleration = angular acceleration × radius .....................1
linear acceleration = 13 × 0.200
linear acceleration = 2.6 m/s²
and
we get here first final velocity that is
V(f) = angular acceleration × time
V(f) = 13 × 2.5 ×
V(f) = 5.10 rev/s
and
average velocity =
average velocity =
average velocity = 2.55 rev/s
so revolutions = 2.55 × 2.5
revolutions = 6.375 rev
and
final angular velocity W will be
W = Wo + angular acceleration × time
W = 0 + 13 × 2.5 = 32.5
final angular velocity = 32.5 rad/s
and
final velocity will be
final velocity = angular velocity × radius
final velocity = 32.5 × 0.200
final velocity = 6.5 m/s