During a very quick stop, a car decelerates at 12(a) What is the angular acceleration of its 0.27 m radius tires, assuming they do not slip on thepavement? Hint: Don't forget the sign.a =SradS²(b) How many revolutions do the tires make before coming to rest, given their initial angular velocityradis 98-?3revolutions(c) How long does the car take to stop completely?t =S (d) What distance does the car travel in this time? Hint: How is the arc length traveled by a point onthe tire's rim related to the horizontal distance traveled by the tire?X =(e) What was the car's initial velocity?V₁ =mstop.(f) Do the values obtained seem reasonable, considering that this stop happens very quickly?The car is initially travelling atmSminmSs seemsso a stopping distance of✓for a panic

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m During a very quick stop, a car decelerates at 12 $² (a) What is the angular acceleration of its 0.27 m radius tires, assuming they do not slip on the pavement? Hint: Don't forget the sign. α = (b) How many revolutions do the tires make before coming to rest, given their initial angular velocity rad is 98 S rad s² -? revolutions (c) How long does the car take to stop completely? t = S

m During a very quick stop, a car decelerates at 12 $² (a) What is the angular acceleration of its 0.27 m radius tires, assuming they do not slip on the pavement? Hint: Don't forget the sign. α = (b) How many revolutions do the tires make before coming to rest, given their initial angular velocity rad is 98 S rad s² -? revolutions (c) How long does the car take to stop completely? t = S

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.

Question

During a very quick stop, a car decelerates at 12
(a) What is the angular acceleration of its 0.27 m radius tires, assuming they do not slip on the
pavement? Hint: Don't forget the sign.
a =
S
rad
S²
(b) How many revolutions do the tires make before coming to rest, given their initial angular velocity
rad
is 98
-?
3
revolutions
(c) How long does the car take to stop completely?
t =
S

(d) What distance does the car travel in this time? Hint: How is the arc length traveled by a point on
the tire's rim related to the horizontal distance traveled by the tire?
X =
(e) What was the car's initial velocity?
V₁ =
m
stop.
(f) Do the values obtained seem reasonable, considering that this stop happens very quickly?
The car is initially travelling at
m
S
min
m
S
s seems
so a stopping distance of
✓for a panic

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