The propeller of a World War II fighter plane is 2.30 m in diameter. (a) What is its angular velocity in radians per second if it spins at 1200 rev/min? (b) What is the linear speed of its tip at this angular velocity if the plane is stationary on the tarmac? (c) What is the centripetal acceleration of the propeller tip under these conditions? Calculate it in meters per second squared and convert to multiples of g .
The propeller of a World War II fighter plane is 2.30 m in diameter. (a) What is its angular velocity in radians per second if it spins at 1200 rev/min? (b) What is the linear speed of its tip at this angular velocity if the plane is stationary on the tarmac? (c) What is the centripetal acceleration of the propeller tip under these conditions? Calculate it in meters per second squared and convert to multiples of g .
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Publisher:Raymond A. Serway, Chris Vuille
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Rotation angle and
The propeller of a World War II fighter plane is 2.30 m in
diameter.
(a) What is its angular velocity in radians per second if it spins
at 1200 rev/min?
(b) What is the linear speed of its tip at this angular velocity if
the plane is stationary on the tarmac?
(c) What is the centripetal acceleration of the propeller tip
under these conditions? Calculate it in meters per second
squared and convert to multiples of g .
![Formula Sheet and Checklist for Circular Motion and Gravitation
Topic
Uniform Circular Motion
Definition/Formula
Motion in a circular path with constant speed.
Distance traveled by an object along a circular
path.
Arc length, As
Rotation Angle, AO
As
The Radian
Linear Velocity, v
2n radians = 1 revolution = 360°
Rate of change of arc length with respect to
As
time. v =
At
Angular Velocity, w
Rate of change of angle with respectto time.
W =
At
Relationship between Angular Velocity and
Linear Velocity
Centripetal Acceleration, ac
v = rw
v2
a =
a = rw?
Centripetal Force, F.
mv2
F =
; F = mrw?
%3D
Inertial Frame of reference
A Frame of Reference moving with constant
velocity.
Non-Inertial Frame of reference
An accelerating Frame of Reference.
Fictitious Force
An unrealforce due to a Non-Inertial Frame of
Reference.
Centrifugal Force
An unrealforce due to circular motion.
Coriolis Force
A fictitious force observed froma Non - Inertial
frame of Reference.
Universal Law of Gravitation
F = G
r2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F37cd0cc1-cea9-4c2d-ad4c-9b5b60ea2fc8%2F7322e152-5219-443d-84c6-d08d589c866e%2Fd04mf0i_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Formula Sheet and Checklist for Circular Motion and Gravitation
Topic
Uniform Circular Motion
Definition/Formula
Motion in a circular path with constant speed.
Distance traveled by an object along a circular
path.
Arc length, As
Rotation Angle, AO
As
The Radian
Linear Velocity, v
2n radians = 1 revolution = 360°
Rate of change of arc length with respect to
As
time. v =
At
Angular Velocity, w
Rate of change of angle with respectto time.
W =
At
Relationship between Angular Velocity and
Linear Velocity
Centripetal Acceleration, ac
v = rw
v2
a =
a = rw?
Centripetal Force, F.
mv2
F =
; F = mrw?
%3D
Inertial Frame of reference
A Frame of Reference moving with constant
velocity.
Non-Inertial Frame of reference
An accelerating Frame of Reference.
Fictitious Force
An unrealforce due to a Non-Inertial Frame of
Reference.
Centrifugal Force
An unrealforce due to circular motion.
Coriolis Force
A fictitious force observed froma Non - Inertial
frame of Reference.
Universal Law of Gravitation
F = G
r2
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