A cyclist is moving in a circular path
with a uniform speed of 200 cm/s. The
change in velocity after half revolution is
Answers
Answer:
Explanation:
Creating an Acceleration of 1 g
A jet is flying at 134.1 m/s along a straight line and makes a turn along a circular path level with the ground. What does the radius of the circle have to be to produce a centripetal acceleration of 1 g on the pilot and jet toward the center of the circular trajectory?
Strategy
Given the speed of the jet, we can solve for the radius of the circle in the expression for the centripetal acceleration.
Solution
Set the centripetal acceleration equal to the acceleration of gravity:
9.8
m/s
2
=
v
2
/
r
.
Solving for the radius, we find
r
=
(
134.1
m
/
s
)
2
9.8
m
/
s
2
=
1835
m
=
1.835
km
.
Significance
To create a greater acceleration than g on the pilot, the jet would either have to decrease the radius of its circular trajectory or increase its speed on its existing trajectory or both.
CHECK YOUR UNDERSTANDING
A flywheel has a radius of 20.0 cm. What is the speed of a point on the edge of the flywheel if it experiences a centripetal acceleration of
900.0
cm
/
s
2
?