Greetings and thank you for your help.... i appreciate you16. Olympic ice skaters are able to spin at about 5 rev/s. (a) What is their angular velocity in radians per second? (b) What is the centripetal acceleration of the skater’s nose if it is 0.120 m from the axis of rotation? (c) An exceptional skater named Dick Button was able to spin much faster in the 1950s than anyone since—at about 9 rev/ s. What was the centripetal acceleration of the tip of his nose, assuming it is at 0.120 m radius? (d) Comment on the magnitudes of the accelerations found. It is reputed that Button ruptured small blood vessels during his spins. Formula Sheet and Checklist for Circular Motion and GravitationТopicUniform Circular MotionDefinition/FormulaMotion in a circular path with constant speed.Distance traveled by an object along a circularpath.Arc length, AsRotation Angle, AOAsThe Radian2n radians = 1 revolution = 360°Linear Velocity, vRate of change of arc length with respect toAstime. vAtAngular Velocity, wRate of change of angle with respectto time.ω -AtRelationship between Angular Velocity andLinear VelocityCentripetal Acceleration, acv = rwv2a =a = rw?Centripetal Force, F.mv²F. =; F = mrw?%3DInertial Frame of referenceA Frame of Reference moving with constantvelocity.An accelerating Frame of Reference.An unrealforce due to a Non-Inertial Frame ofNon-Inertial Frame of referenceFictitious ForceReference.Centrifugal ForceAn unreal force due to circular motion.Coriolis ForceA fictitious force observed froma Non - Inertialframe of Reference.Universal Law of Gravitationm¡m2F = Gr2

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Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter6: Motion In Two Dimensions

Section: Chapter Questions

Problem 59A

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Greetings and thank you for your help.... i appreciate you

16. Olympic ice skaters are able to spin at about 5 rev/s. (a) What is their angular velocity in radians per second? (b) What is the centripetal acceleration of the skater’s nose if it is 0.120 m from the axis of rotation? (c) An exceptional skater named Dick Button was able to spin much faster in the 1950s than anyone since—at about 9 rev/ s. What was the centripetal acceleration of the tip of his nose, assuming it is at 0.120 m radius? (d) Comment on the magnitudes of the accelerations found. It is reputed that Button ruptured small blood vessels during his spins.

Formula Sheet and Checklist for Circular Motion and Gravitation
Тopic
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
2n radians = 1 revolution = 360°
Linear Velocity, v
Rate of change of arc length with respect to
As
time. v
At
Angular Velocity, w
Rate of change of angle with respectto time.
ω -
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.
An accelerating Frame of Reference.
An unrealforce due to a Non-Inertial Frame of
Non-Inertial Frame of reference
Fictitious Force
Reference.
Centrifugal Force
An unreal force due to circular motion.
Coriolis Force
A fictitious force observed froma Non - Inertial
frame of Reference.
Universal Law of Gravitation
m¡m2
F = G
r2

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