Physics Worksheet Lesson 11 Circular Motion

Physics Worksheet
1
Rotation and Revolution
a.
Section:
Circular Motion
3
Axis: an axis is the straight line around which
rotation or revolution takes place.
Name:
Linear/Tangential Speed
a. Linear speed (___):
unit: ________________
__________________________________________
The linear speed is greater on the outer edge of a
rotational object than it is closer to the axis.
b.
Tangential speed (___):
unit: ________________
__________________________________________
b.
Internal Axis:
c.
__________________________________________
c.
____________________ = ____________________
External Axis:
d.
__________________________________________
d.
Rotation:
2
Linear (Tangential) Speed = _____________________
v = ______________ = _______________
__________________________________________
e.
The direction of motion is always tangent to the
circle.
For circular motion,
Revolution:
e.
Exercise: In a circular motion, if the period is 2s and
the radius is 3m, what’s the tangential speed?
f.
Exercise: In a circular motion, if the frequency is
2Hz and the radius is 4m, what’s the tangential
speed?
g.
Exercise: In a circular motion, if the tangential
speed is 12𝜋 m/s, and the radius is 2 m, what’s the
period? What’s the frequency?
__________________________________________
Period and Frequency:
a. Period (___):
unit: ________________
__________________________________________
b.
Frequency (___):
unit: ________________
__________________________________________
c.
Period and frequency are reciprocals of each other:
__________________ and __________________.
d.
Exercise: If the frequency is 40 Hz, what’s the
period?
e.
Exercise: If the period is 0.05s, what’s the
frequency?
4
Rotational/Angular Speed
a. Rotational speed (___): or ____________________
__________________________________________
f.
Exercise: If the microprocessor clock of your
computer is running at 2.5 GHz, what’s the period of
the clock?
All parts of a rotational object have the same rate of
rotation, or same number of rotations per unit of
time.
Unit of rotational speed:
__________________________________________
__________________________________________
Mr. Lin
1
Physics Worksheet
b.
6
Rotational Speed
𝝎 = ______________ = _______________
c.
Section:
Circular Motion
Exercise: In a circular motion, if the period is 2s and
the radius is 5m, what’s the rotational speed?
Name:
Centripetal Acceleration
a.
Acceleration is a vector quantity: a = __________
b.
Velocity can be changed by
(1) _______________________________________,
(2) _______________________________________.
d.
Exercise: In a circular motion, if the frequency is
2Hz and the radius is 5m, what’s the angular speed?
c.
5
Definition of Centripetal Acceleration (_____):
Rotational and Tangential Speed
a.
Tangential speed:
Rotational speed: ___ = ____________________
So,
Tangential speed = _____________ x ___________
b.
__________________________________________
___ = ____________________
or
___ = __________________________
At the center (or axis) of the rotational platform:
__________________________________________
__________________________________________
d.
toward the ___________________ of the circle, and
there is no _____________________ speed,
but there is _____________________ speed.
c.
d.
e.
Exercise: In a circular motion, if the angular speed
is 4𝜋 𝑟𝑎𝑑/𝑠 and the radius is 3m, what’s the
tangential speed?
Exercise: In a circular motion, if the linear speed is
6𝜋 𝑚/𝑠 and the radius is 2m, what’s the rotational
speed?
Exercise: In a circular motion, object A and B both
revolve about the same center. The radius for A is
4m and the radius for B is 2m. If the period of the
circular motion for both objects is 3 s, what’s the
tangential speed and angular speed for both objects?
Mr. Lin
Centripetal acceleration is directed
at a ______________ to the path of a moving object.
e.
Centripetal Acceleration:
_____ = _________________ = ________________
f.
Exercise: In a circular motion, if the linear speed is
6 𝑚/𝑠 and the radius is 3m, what’s the centripetal
acceleration?
g.
Exercise: In a circular motion, if the rotational speed
is 2 𝑟𝑎𝑑/𝑠 and the radius is 3m, what’s the
centripetal acceleration?
h.
Exercise: In a circular motion, if the period is
2 𝑠 and the radius is 5m, what’s the centripetal
acceleration?
2
Physics Worksheet
7
Centripetal Force
a.
Section:
Circular Motion
n
For a circular motion, what if angular speed is
doubled? Fc will be …………
n
For a circular motion, what if mass is halved? Fc
will be …………
n
For a circular motion, what if radius is halved? Fc
will be …………
n
For a circular motion, what if linear speed is
halved? Fc will be …………
n
For a circular motion, what if angular speed is
halved? Fc will be …………
i.
A 280 kg motorcycle traveling at 32 m/s enters a
curve of radius = 130 m. What force of friction is
required from the contact of the tires with the road to
prevent a skid?
j.
Astronauts are trained to tolerate greater acceleration
than the gravity by using a spinning device whose
radius is 10.0 m. With what linear speed and
rotational speed would an astronaut have to spin in
order to experience an acceleration of 3 g’s at the
edge of the device?
k.
To swing a pail of water around in a vertical circle
fast enough so that the water doesn’t spill out when
the pail is upside down. If Mr. Lin’s arm is 0.60 m
long, what is the minimum speed with which he can
swing the pail so that the water doesn’t spill out at
the top of the path?
l.
At the outer edge of a rotating space station, 1 km
from its center, the rotational acceleration is 10.0
m/s2. What is the new weight of a 1000 N object
being moved to a new storage room which is 500 m
from the center of the space station?
Definition of Centripetal Force (_____):
__________________________________________
__________________________________________
b.
Draw the centripetal forces in the following circular
motion:
c.
In linear motion:
Fnet = _______________.
In circular motion:
Centripetal Force:
Fc = ________________c
d.
____ = ________ = ___________ = _____________
e.
Exercise: In a circular motion, if the mass of the
object is 2kg, its linear speed is 4 𝑚/𝑠 and the radius
is 2m, what’s the centripetal force?
f.
Exercise: In a circular motion, if the mass of the
object is 5kg, its angular speed is 3 𝑟𝑎𝑑/𝑠 and the
radius is 2m, what’s the centripetal force?
g.
Name:
Identify the following relationships:
Centripetal force and mass: ____________________
Centripetal force and radius: ___________________
Centripetal force and tangential speed: ___________
Centripetal force and angular speed: ____________
h.
Exercise: Answer the following questions
n
For a circular motion, what if mass is doubled? Fc
will be …………
n
For a circular motion, what if radius is doubled? Fc
will be …………
n
For a circular motion, what if linear speed is
doubled? Fc will be …………
Mr. Lin
3