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In this lesson, we will learn how to apply rotational kinematics and centripetal dynamics to problems in various situations.
A plumb bob hangs from the roof of a railway carriage. The car travels around a circular track of radius 228 m at a speed of 63 km/h. At what angle from the vertical does the plumb bob hang while the carriage travels around the circular track?
A wind turbine is rotating at 0.500 rev/s
and slows to a stop in 10.0 s.
Its blades are 20.0 m in length.
What is the angular acceleration of the turbine?
What is the centripetal acceleration of the tip of the blades at
The driver of a car moving at 90.0 km/h presses down
on the brake as the car enters a circular curve of radius 150.0 m. If the speed of the car is decreasing at a rate
of 9.0 km/h each second, what is the magnitude of the
acceleration of the car at the instant its speed is 60.0 km/h?
A car takes a 100.0-m-radius banked curve at
angle. If the car takes a banked curve at less than the ideal speed, friction is needed to keep it from sliding toward the inside of the curve (a problem on icy mountain roads).
Calculate the ideal speed for the car to take the curve.
What is the minimum coefficient of friction needed for a frightened driver to take the curve at 20.0 km/h?
A man stands on a merry-go-round that is rotating at
. The coefficient of static
friction between the man’s shoes and the merry-go-round’s surface is 0.50. How far from the
merry-go-round’s axis of rotation can the man stand and continue to be held in place by
A child with mass 40 kg sits on the
edge of a merry-go-round at a distance of
3.0 m from its axis of rotation. The
merry-go-round accelerates from rest to 0.40 rev/s in 10 s. The coefficient of static
friction between the child and the surface of the merry-go-round is 0.60. After the
merry-go-round has accelerated for 5.0 seconds, by how much does the frictional force on the
child exceed the force accelerating her due to the merry-go-round’s rotation?
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