- Information
- AI Chat
PHY 12IB Centripetal Force Worksheet
Course
General Physics I (PH 161)
63 Documents
Students shared 63 documents in this course
University
Montgomery College
Academic year: 2020/2021
Uploaded by:
0followers
1Uploads
2upvotes
Recommended for you
Preview text
NAME ______________________________________ DATE _______________ CLASS ____________________
CENTRIPETAL ACCELERATION
PROBLEM
The most violent part of a hurricane is at the edge of the hurricane’s eye.
This region, called the eyewall,can have winds with speeds of more than
300 km/h. Suppose winds in a hurricane’s eyewall have a tangential speed
of 82 m/s. If the eyewall is 25 km from the center of the hurricane, what
is the magnitude of the centripetal acceleration of particles in the eye-
wall?
SOLUTION Given: vt =82 m/s r =25 km Unknown: ac =? Use the centripetal acceleration equation for ac in terms of vt and r. ac = v r
t 2 =( 2
8
5
2.
×
2
1
m 0
/
3
s m
) 2
ac = 0 m/s 2
ADDITIONAL PRACTICE
1. Because of the conditions that give rise to them, tornadoes do not have
the widespread destructive effects of hurricanes. Nevertheless, the winds
encountered in some tornadoes are even greater than those at the eyewall
of a hurricane. Suppose a small pebble is swept up in a tornado. The peb-
ble is 3 m from the center of the tornado and has a tangential speed
equal to that of the surrounding wind: 124 m/s. What is the magnitude
of the centripetal acceleration of the pebble?
2. A type of pinball machine uses a spinning rubber disk to deflect the ball.
The disk has a radius of 6 cm and an angular speed of 30 rad/s. Sup-
pose this machine is laid flat so that a ball on the edge of the disk isn’t
pulled to the side by gravity. How large is the ball’s centripetal accelera-
tion when the ball is at the edge of the disk?
3. A customer sits in a revolving restaurant 11 m from the center. If the cus-
tomer’s tangential speed is 1 × 10 –2m/s, how large a centripetal accel-
eration does the customer experience?
4. NASA uses large centrifuges to study the effects of large forces on astro-
nauts prior to their going into space. A subject in the 20-G centrifuge,
which has a radius of 8 m, can have a centripetal acceleration as large as
20 g ,where g equals 9 m/s 2. What is the tangential speed of the subject?
NAME ______________________________________ DATE _______________ CLASS ____________________
FORCE THAT MAINTAINS CIRCULAR MOTION
PROBLEM
A model airplane with a mass of 3 kg moves in a circular path with a ra-
dius of 12 m. If the airplane’s speed is 45 m/s, how large is the force that
the control line exerts on the plane to keep it moving in a circle?
SOLUTION Given: m =3 kg r =12 m vt =45 m/s Unknown: Fc =? Use the equation for force that maintains circular motion that is expressed in terms of vt. Fc = m v r
t 2 =3 kg ( 12
m m
/s) 2
Fc = 540 N
1. A 40 kg child takes a ride on a Ferris wheel that rotates with an angular
speed of 0 rad/s. Find the magnitude of the force that maintains the
circular motion of the child if the distance from the center of the Ferris
wheel to the child is 18 m.
2. A toy model of an amusement park ride has a central shaft that rotates
while carts attached to the top of the shaft by threads “fly” outward. The
force that keeps the carts in a circular path is provided by the tension in
the thread. When the carts are 0 m from the center of the shaft, the
largest tangential speed that the carts can have without the threads
breaking is 5 m/s. If the mass of a cart is 0 kg, how large is the maxi-
mum force that maintains circular motion?
3. An automobile with a tangential speed of 48 km/h follows a circular
road that has a radius of 35 m. The pavement is wet and oily, so the co-
efficient of kinetic friction between the car’s tires and the pavement is
only 0. How large is the force needed to maintain the car’s circular
motion? How large is the available frictional force? Is the available fric-
tional force large enough to maintain the automobile’s circular motion?
Assume the automobile has a mass of 1250 kg.
ADDITIONAL PRACTICE
Was this document helpful?
PHY 12IB Centripetal Force Worksheet
Course: General Physics I (PH 161)
63 Documents
Students shared 63 documents in this course
University: Montgomery College
Was this document helpful?
NAME ______________________________________ DATE _______________ CLASS ____________________
CENTRIPETAL ACCELERATION
PROBLEM
The most violent part of a hurricane is at the edge of the hurricane’s eye.
This region, called the eyewall, can have winds with speeds of more than
300 km/h. Suppose winds in a hurricane’s eyewall have a tangential speed
of 82.2 m/s. If the eyewall is 25 km from the center of the hurricane, what
is the magnitude of the centripetal acceleration of particles in the eye-
wall?
SOLUTION
Given: vt=82.2 m/s
r=25 km
Unknown: ac=?
Use the centripetal acceleration equation for acin terms of vtand r.
ac =
v
r
t2
=
(
2
8
5
2.
×
2
1
m
0
/
3
s
m
)2
ac=0.27 m/s2
ADDITIONAL PRACTICE
1. Because of the conditions that give rise to them, tornadoes do not have
the widespread destructive effects of hurricanes. Nevertheless, the winds
encountered in some tornadoes are even greater than those at the eyewall
of a hurricane. Suppose a small pebble is swept up in a tornado. The peb-
ble is 3.81 m from the center of the tornado and has a tangential speed
equal to that of the surrounding wind: 124 m/s. What is the magnitude
of the centripetal acceleration of the pebble?
2. A type of pinball machine uses a spinning rubber disk to deflect the ball.
The disk has a radius of 6.50 cm and an angular speed of 30.0 rad/s. Sup-
pose this machine is laid flat so that a ball on the edge of the disk isn’t
pulled to the side by gravity. How large is the ball’s centripetal accelera-
tion when the ball is at the edge of the disk?
3. A customer sits in a revolving restaurant 11 m from the center. If the cus-
tomer’s tangential speed is 1.92 ×10–2 m/s, how large a centripetal accel-
eration does the customer experience?
4. NASA uses large centrifuges to study the effects of large forces on astro-
nauts prior to their going into space. A subject in the 20-G centrifuge,
which has a radius of 8.9 m, can have a centripetal acceleration as large as
20.0g,where gequals 9.81 m/s2. What is the tangential speed of the subject?
